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In simple reactive circuits with little or no resistance, the effects of radically altered impedance will manifest at the resonance frequency predicted by the equation given earlier. In a parallel (tank) LC circuit, this means infinite impedance at resonance. In a series LC circuit, it means zero impedance at resonance:

give a presentation on demonstration of series and parallel resonance

However, as soon as significant levels of resistance are introduced into most LC circuits, this simple calculation for resonance becomes invalid.

On this page, we’ll take a look at several LC circuits with added resistance , using the same values for capacitance and inductance as before: 10 µF and 100 mH, respectively.

Calculating the Resonant Frequency of a High-Resistance Circuit

According to our simple equation above, the resonant frequency should be 159.155 Hz. Watch, though, where current reaches maximum or minimum in the following SPICE analyses:

Parallel LC circuit with resistance in series with L.

Parallel LC circuit with resistance in series with L.

Resistance in series with L produces minimum current at 136.8 Hz instead of calculated 159.2 Hz

Resistance in series with L produces minimum current at 136.8 Hz instead of calculated 159.2 Hz

Parallel LC with resistance in serieis with C.

Parallel LC with resistance in serieis with C.

Here, an extra resistor (Rbogus) is necessary to prevent SPICE from encountering trouble in analysis. SPICE can’t handle an inductor connected directly in parallel with any voltage source or any other inductor, so the addition of a series resistor is necessary to “break up” the voltage source/inductor loop that would otherwise be formed.

This resistor is chosen to be a very low value for minimum impact on the circuit’s behavior.

Resistance in series with C shifts minimum current from calculated 159.2 Hz to roughly 180 Hz.

Resistance in series with C shifts minimum current from calculated 159.2 Hz to roughly 180 Hz.

Series LC Circuits

Switching our attention to series LC circuits, we experiment with placing significant resistances in parallel with either L or C. In the following series circuit examples, a 1 Ω resistor (R1) is placed in series with the inductor and capacitor to limit total current at resonance.

The “extra” resistance inserted to influence resonant frequency effects is the 100 Ω resistor, R2. The results are shown in the figure below.

Series LC resonant circuit with resistance in parallel with L.

Series LC resonant circuit with resistance in parallel with L.

Series resonant circuit with resistance in parallel with L shifts maximum current from 159.2 Hz to roughly 180 Hz.

Series resonant circuit with resistance in parallel with L shifts maximum current from 159.2 Hz to roughly 180 Hz.

And finally, a series LC circuit with the significant resistance in parallel with the capacitor The shifted resonance is shown below.

Series LC resonant circuit with resistance in parallel with C.

Series LC resonant circuit with resistance in parallel with C.

Resistance in parallel with C in series resonant circuit shifts current maximum from calculated 159.2 Hz to about 136.8 Hz.

Resistance in parallel with C in series resonant circuit shifts current maximum from calculated 159.2 Hz to about 136.8 Hz.

Antiresonance in LC Circuits

The tendency for added resistance to skew the point at which impedance reaches a maximum or minimum in an LC circuit is called antiresonance . The astute observer will notice a pattern between the four SPICE examples given above, in terms of how resistance affects the resonant peak of a circuit:

Parallel (“tank”) LC circuit:

  • R in series with L: resonant frequency shifted down
  • R in series with C: resonant frequency shifted up

Series LC circuit:

  • R in parallel with L: resonant frequency shifted up
  • R in parallel with C: resonant frequency shifted down

Again, this illustrates the complementary nature of capacitors and inductors : how resistance in series with one creates an antiresonance effect equivalent to resistance in parallel with the other. If you look even closer to the four SPICE examples given, you’ll see that the frequencies are shifted by the same amount , and that the shape of the complementary graphs are mirror-images of each other!

Antiresonance is an effect that resonant circuit designers must be aware of. The equations for determining antiresonance “shift” are complex, and will not be covered in this brief lesson. It should suffice the beginning student of electronics to understand that the effect exists, and what its general tendencies are.

The Skin Effect

Added resistance in an LC circuit is no academic matter. While it is possible to manufacture capacitors with negligible unwanted resistances, inductors are typically plagued with substantial amounts of resistance due to the long lengths of wire used in their construction.

What is more, the resistance of wire tends to increase as frequency goes up, due to a strange phenomenon known as the skin effect where AC current tends to be excluded from travel through the very center of a wire, thereby reducing the wire’s effective cross-sectional area.

Thus, inductors not only have resistance, but changing, frequency-dependent resistance at that.

Added Resistance in Circuits

As if the resistance of an inductor’s wire weren’t enough to cause problems, we also have to contend with the “core losses” of iron-core inductors, which manifest themselves as added resistance in the circuit.

Since iron is a conductor of electricity as well as a conductor of magnetic flux, changing flux produced by alternating current through the coil will tend to induce electric currents in the core itself ( eddy currents ).

This effect can be thought of as though the iron core of the transformer were a sort of secondary transformer coil powering a resistive load: the less-than-perfect conductivity of the iron metal. This effects can be minimized with laminated cores, good core design high-grade materials, but never completely eliminated.

RLC Circuits

One notable exception to the rule of circuit resistance causing a resonant frequency shift is the case of series resistor-inductor-capacitor (“RLC”) circuits. So long as all components are connected in series with each other, the resonant frequency of the circuit will be unaffected by the resistance. The resulting plot is shown below.

Series LC with resistance in series.

Series LC with resistance in series.

Resistance in series resonant circuit leaves current maximum at calculated 159.2 Hz, broadening the curve.

Resistance in series resonant circuit leaves current maximum at calculated 159.2 Hz, broadening the curve.

Note that the peak of the current graph has not changed from the earlier series LC circuit (the one with the 1 Ω token resistance in it), even though the resistance is now 100 times greater. The only thing that has changed is the “sharpness” of the curve.

Obviously, this circuit does not resonate as strongly as one with less series resistance (it is said to be “less selective”), but at least it has the same natural frequency!

Antiresonance’s Dampening Effect

It is noteworthy that antiresonance has the effect of dampening the oscillations of free-running LC circuits such as tank circuits. In the beginning of this chapter we saw how a capacitor and inductor connected directly together would act something like a pendulum, exchanging voltage and current peaks just like a pendulum exchanges kinetic and potential energy.

In a perfect tank circuit (no resistance), this oscillation would continue forever, just as a frictionless pendulum would continue to swing at its resonant frequency forever. But frictionless machines are difficult to find in the real world, and so are lossless tank circuits.

Energy lost through resistance (or inductor core losses or radiated electromagnetic waves or . . .) in a tank circuit will cause the oscillations to decay in amplitude until they are no more. If enough energy losses are present in a tank circuit, it will fail to resonate at all.

Antiresonance’s dampening effect is more than just a curiosity: it can be used quite effectively to eliminate unwanted oscillations in circuits containing stray inductances and/or capacitances, as almost all circuits do. Take note of the following L/R time delay circuit: (Figure below)

L/R time delay circuit

L/R time delay circuit

The idea of this circuit is simple: to “charge” the inductor when the switch is closed. The rate of inductor charging will be set by the ratio L/R, which is the time constant of the circuit in seconds.

However, if you were to build such a circuit, you might find unexpected oscillations (AC) of voltage across the inductor when the switch is closed. (Figure below) Why is this? There’s no capacitor in the circuit, so how can we have resonant oscillation with just an inductor, resistor, and battery?

Inductor ringing due to resonance with stray capacitance.

Inductor ringing due to resonance with stray capacitance.

All inductors contain a certain amount of stray capacitance due to turn-to-turn and turn-to-core insulation gaps. Also, the placement of circuit conductors may create stray capacitance. While clean circuit layout is important in eliminating much of this stray capacitance, there will always be some that you cannot eliminate.

If this causes resonant problems (unwanted AC oscillations), added resistance may be a way to combat it. If resistor R is large enough, it will cause a condition of antiresonance, dissipating enough energy to prohibit the inductance and stray capacitance from sustaining oscillations for very long.

Interestingly enough, the principle of employing resistance to eliminate unwanted resonance is one frequently used in the design of mechanical systems, where any moving object with mass is a potential resonator.

A very common application of this is the use of shock absorbers in automobiles. Without shock absorbers, cars would bounce wildly at their resonant frequency after hitting any bump in the road. The shock absorber’s job is to introduce a strong antiresonant effect by dissipating energy hydraulically (in the same way that a resistor dissipates energy electrically).

  • Added resistance to an LC circuit can cause a condition known as antiresonance , where the peak impedance effects happen at frequencies other than that which gives equal capacitive and inductive reactances.
  • Resistance inherent in real-world inductors can contribute greatly to conditions of antiresonance. One source of such resistance is the skin effect , caused by the exclusion of AC current from the center of conductors. Another source is that of core losses in iron-core inductors.
  • In a simple series LC circuit containing resistance (an “RLC” circuit), resistance does not produce antiresonance. Resonance still occurs when capacitive and inductive reactances are equal.

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Resonance in Series and Parallel RLC Circuit | Resonance Frequency

This article examines the resonance phenomenon and resonance frequency in series and parallel rlc circuits, along with several examples. .

In any AC circuit consisting of resistors, capacitors, and inductors, either in series or in parallel, a condition can happen in which the reactive power of the capacitors and of the inductors become equal. This condition is called resonance .

Simultaneous with the capacitive reactive power and the inductive reactive power being equal, other features can reflect resonance. Remember that we always reduce a circuit to a single resistor, a capacitor, and an inductor. Thus, for this discussion, we assume one of each component in the circuit.

Resonance: a Special condition in AC circuits where all the energy stored by inductive components is provided by capacitive components, and vice versa. This occurs in a particular frequency. This condition implies other facts such as:

  • The net reactive power to be zero,
  • The power factor to be unity, and

In fact, when resonance happens, the inductive reactance and the capacitive reactance are equal to each other:

$\begin{matrix}   {{X}_{L}}={{X}_{C}} & {} & \left( 1 \right)  \\\end{matrix}$

Resonance in Series and Parallel Circuits Diagram

Figure 1. Resonance condition in Series and Parallel AC circuits.

In a circuit with a fixed frequency, resonance can happen if the condition in  Equation 1  is true.

 On the other hand, since both  X L  and  X C  are functions of frequency, if the frequency of a circuit changes, at a unique frequency these values can become equal. 

Figure 1  shows the variation of the impedance for the three basic types of loads in a circuit versus frequency. The horizontal axis implies a frequency increase.

 A resistor is independent of frequency; thus, its impedance is constant, represented by a line parallel to the horizontal axis. The impedance of an inductor is proportional to the frequency and augments as the frequency increases. For a capacitor the reverse happens and its impedance decreases (though not linearly) as the frequency increases.

At the point of intersection of the two curves,  X L  = X C,  and the frequency at that point is called the  resonant frequency  or  resonance frequency  and is denoted by  f R .

Resonant frequency:  A unique frequency for each AC circuit containing both reactive components (inductors and capacitors) at which the resultant reactance of all capacitive components is equal to the resultant reactance of all the inductive components. As a result, the two types of components cancel the effect of each other, and the total reactive power of the circuit is zero.

Resonance frequency:  Frequency at which resonance happens in an AC circuit.

The resonance frequency can be found by equating X L  and  X C . This leads to

\[\begin{matrix}   {{f}_{R}}=\frac{1}{2\pi \sqrt{LC}} & {} & \left( 2 \right)  \\\end{matrix}\]

Resonance Frequency Calculation Example 1

Find the resonance frequency of a 40 mH inductor and a 51 μF capacitor.

Values of the capacitance and inductance in Farad and Henry can directly be plugged in  Equation 2 . Thus,

\[{{f}_{R}}=\frac{1}{2\pi \sqrt{LC}}=\frac{1}{2\pi \sqrt{0.040*0.00051}}=112Hz\]

Resonance Frequency Calculation Example 2

Find the capacitance for a capacitor to become in resonance with a 40 mH inductor at 60 Hz frequency.

At 60 Hz the reactance of the capacitor must be the same as the reactance of the inductor. Thus,

$\begin{align}  & {{X}_{C}}={{X}_{L}}=2\pi *60*0.040=15\Omega  \\ & C=\frac{1}{2\pi *60*15}=176mF \\\end{align}$

Note that if this value is not among the standard values for capacitors, one can make such a value by combining a number of standard capacitors in series and/or parallel.

Resonance in Series RLC Circuits

When resonance occurs in a series  RLC  circuit , the resonance condition ( Equation 1 ) leads to other relationships or properties. These are

  • The voltage across the inductor is equal to the voltage across the capacitor.
  • The voltage across the resistor is equal to the applied voltage.
  • The impedance of the circuit has its lowest value and is equal to  R .
  • Circuit current assumes its maximum value because the impedance is minimum.
  • The power factor for the circuit becomes equal to 1, and the phase angle is zero.
  • Apparent power has its lowest value and becomes equal to the active power because the power factor is 1.

Resonance in Parallel RLC Circuits

Similar to the series circuits, when resonance occurs in a parallel  RLC  circuit the resonance condition ( Equation 1 ) leads to other relationships or properties:

  • The current in the inductor is equal to the current in the capacitor.
  • The current in the resistor is equal to the total circuit current.
  • The impedance of the circuit has its highest value and is equal to  R .
  • Circuit current assumes its minimum value because the impedance has the highest value.

Items 5 and 6 are the same as for the series resonant circuits, but the rest are quite different.

Principle of induction heater and induction cooker.

Figure 2.  Principle of induction heater and induction cooker.

When resonance occurs in a parallel  RLC  circuit, a local current circulates between the inductor and the capacitor. This current can be very high, while the circuit current as seen from the source can be low. This phenomenon is used in induction heaters (in the industry for heating metals when necessary, e.g., heating bearings for mounting or dismounting) and in induction cookers (for domestic use).

In such an application a high current is flowing through an inductor, whereas the current provided by the power line is small. This means that the rating of the wires and breakers is much smaller than the current in the inductor.

The current in the inductor creates (induces) local currents in the piece to be warmed, without even touching it. In the case of an induction cooker, the body of the cooking pan becomes hot owing to local currents created by induction. This is shown in  Figure 2 .

The efficiency of induction heating is very high, and the process is very fast compared to conventional heating in which a great part of the energy is used for heating air and the intermediate media between the source and the body to be heated.

give a presentation on demonstration of series and parallel resonance

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Difference between Series Resonance and Parallel Resonance

In an AC electric circuit , when the capacitive reactance is balanced by the inductive reactance at some given frequency, then this condition in the circuit is referred as resonance . The frequency of the supply voltage at which resonance occurs in the circuit is called  resonant frequency . At the resonance in the circuit, the reactance of the capacitor and inductor cancel each other. Also, at the condition of resonance, no reactive power is taken from the source.

Based on the arrangement of capacitor and inductor in the electric circuit, the resonance is divided in two types viz. −

  • Series resonance
  • Parallel resonance

In this article, we have described the differences between series resonance and parallel resonance. We also added a short description of series resonance and parallel resonance for your reference, which makes the understanding of differences easier.

What is Series Resonance?

When resistor (R), inductor (L) and capacitor (C) are connected in series, and at some frequency of supply voltage, the effect of inductor and capacitor cancel each other so that the circuit behaves like a pure resistive circuit, then this condition of the series circuit is known as series resonance .

give a presentation on demonstration of series and parallel resonance

In series resonance, the inductive reactance (X L ) and the capacitive reactance (X C ) become equal, therefore, the total impedance of the series resonating circuit is equal the resistance of the circuit, i.e.

$$Z\:=\:R$$

Hence, at the series resonance condition, the circuit offers minimum impedance. Consequently, the value of electric current flowing through the circuit will be maximum. The series resonance results in the maximum admittance in the series RLC circuit.

Some common applications of series resonance are −

  • Oscillator circuits
  • Voltage amplifiers
  • High frequency filters, etc.

What is Parallel Resonance?

When resistor (R), inductor (L) and capacitor (C) are connected in parallel and the effect of inductor cancels the effect of capacitor at a particular supply frequency, then this condition of the circuit is known as parallel resonance .

give a presentation on demonstration of series and parallel resonance

The parallel resonance causes maximum impedance in the circuit. As a result, the current flowing through the circuit at parallel resonance is minimum. As the parallel resonance eliminates the effect of capacitor and inductor from the circuit, thus the circuit behaves like a pure resistive circuit. The parallel resonance is also used in many applications such as:

  • Current amplifiers
  • Filter circuits
  • Radio frequency amplifiers
  • Induction heating systems, etc.

The key differences between series resonance and parallel resonance are given in the following table −

Basis of DifferenceSeries ResonanceParallel Resonance
DefinitionWhen a resistor, inductor and capacitor are connected in series across an AC supply and the inductor and capacitor cancel the effect of each other at a particular frequency, then this condition of the series circuit is known as series resonance.A combination of a resistor, inductor and a capacitor is connected across an AC source and the inductor and capacitor cancel the effect of each other at a specific supply frequency, then this condition of the parallel RLC circuit is known as parallel resonance.
ImpedanceThe impedance of a series RLC circuit becomes minimum at series resonance.The impedance of a parallel RLC circuit becomes maximum at parallel resonance.
AdmittanceThe series RLC circuit offers maximum admittance at series resonance.The admittance of the parallel RLC circuit at parallel resonance is minimum.
CurrentThe series resonance results in the maximum current through the circuit.The current in circuit at parallel resonance is minimum.
Behave of the circuitThe series RLC circuit behaves as an accepter circuit at series resonance.The parallel RLC circuit acts as a rejector circuit at parallel resonance
MagnifyThe series resonance magnifies the voltage in the circuit.The parallel resonance magnifies the current in the circuit.
Equation of effective impedanceThe effective impedance of series RLC circuit at series resonance is given by,
$$Z\:=\:R$$
The effective impedance of parallel RLC circuit at parallel resonance is given by,
$$Z\:=\:\frac{L}{CR}$$
Quality factor (Q-factor)For series resonance, the quality factor is given by,
$$Q-\mathrm{factor}\:=\:\frac{\omega_{0}L}{R}\:=\:\frac{1}{\omega_{0}RC}$$
For parallel resonance, the quality factor is given by,
$$Q-\mathrm{factor}\:=\:\frac{R}{\omega_{0}L}\:=\omega_{0}RC$$
ApplicationsThe series resonance is widely used in tuning, oscillator circuits, voltage amplifiers, high frequency filters, etc.The parallel resonance is used in current amplifiers, induction heating, filters, radio-frequency amplifiers, etc.

In this article, we have highlighted several differences between series resonance and parallel resonance by considering various parameters such as basic definition, impedance, current, applications, etc. The major difference between series resonance and parallel resonance is that a series resonance results in the minimum impedance and maximum current flow in the circuit, while a parallel resonance results in maximum impedance and minimum current flow in the circuit.

Manish Kumar Saini

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Properties Of Series And Parallel Resonance Circuits

When it comes to electricity, we understand that different electrical components have unique properties. For example, a series resonance circuit and a parallel resonance circuit are two distinct electrical configurations that relay power in different ways. In this article, we’ll discuss the properties of series and parallel resonance circuits and the differences between them. Let’s begin with series resonance circuits. These circuits are composed of capacitors and inductive elements connected in series, which is why they’re known as “series” resonance circuits. This type of circuitry has an inductance of the circuit and a capacitance, both of which act together to create a network of energy flow. When connected together, they act to absorb energy as waves in the form of electromagnetic radiation. This absorption of energy results in a net decrease in power dissipated across the circuit, making it more efficient than other types of circuitry. Parallel resonance circuits, on the other hand, are composed of two or more individual inductors or capacitors connected in parallel. The purpose of a parallel resonance circuit is to achieve maximum current transfer between two or more points, while minimizing losses along the way. Typically, these circuits are used for high frequency applications such as radio communication and signal amplifiers. Series and parallel resonance circuits have distinct properties that allow them to be used for specific purposes. Understanding the differences between these two types of circuits is essential in order to properly utilize them. For instance, series resonance circuits are more efficient in controlling and stabilizing electrical power, while parallel resonance circuits are better suited for high frequency applications. In conclusion, series and parallel resonance circuits are two distinct electrical configurations that have different properties. While series resonance circuits are more effective in controlling and managing power, parallel resonance circuits are better for high frequency applications. Understanding the differences between these two types of circuits is essential in order to maximize efficiency and ensure optimal performance.

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Instructional Resources and Lecture Demonstrations

5l20.21 - resonance circuits.

give a presentation on demonstration of series and parallel resonance

Connect the labeled leads to the proper inputs of the oscilloscope and the wave generator.  Attach the proper capacitance box if not already in place (These are just stuck on with Velcro).  Set the wave generator to the 1 to 100 KHz range.  As you sweep the generator through the range you will see a point of maximum resonance on the oscilloscope.  The reference trace on the scope is the direct generator input.

Assemble the circuit with the Variac, capacitor, inductor, and light all in series.  With the proper capacitance value the circuit will go in and out of resonance as you insert and remove the iron core in the inductor coil.  The light bulb is used as a visual indicator of this phenomenon.  Usually for this demo the capacitor is set for 24 mfd which will mean that the light will come on when you turn the Variac up and will go out when you insert the core.  However, you can also set the capacitor at 6 mfd, and when you turn the Variac up the light bulb will glow dimly.  As you insert the iron core the light gets brighter, and as you continue to insert the core you go past resonance and the light once again becomes dim.

You may use a 6 volt light bulb as an indicator of circuit resonance if desired.  Put the wave generator, capacitor, inductor, and amplifier all in series.  The speaker output of the amplifier is connected to the 6 volt bulb.  Sweep the frequency between 0 and 10 kHz. and observe the resonance.

  • Fabiana Botelho Kneubil, "Driven Series RLC Circuit and Resonance: A Graphic Approach to Energy", TPT, Vol. 58, #4, April 2020, p. 256.
  • Yaakov Kraftmakher, "Two Demonstrations with a New Data-Acquisition System", TPT, Vol. 52, #3, Mar. 2014, p. 164.
  • Philip Backman, Chester Murley, and P. J. Williams,  "The Driven RLC Circuit Experiment",  TPT, Vol. 37, # 7, p. 424, Oct. 1999.
  • Se-yuen Mak, "Qualitative Demonstrations of Parallel/Series Resonance", TPT, Vol. 37, #3, Mar 1999, p. 179.
  • S. Y. Mak and P. K. Tao, "Measurement of Self-Inductance", TPT, Vol. 26, #6, Sept. 1988, p. 378.
  • Jim Oliver, "Observing Voltage Phases in RC, RL, and RLC Circuits",  TPT, Vol. 35, #1, Jan. 1997, p. 30.
  • Russell Akridge, "AC Reactance Without Calculus", TPT, , Vol. 35, #1, Jan. 1997, p. 20.
  • Zenon Gubanski, "Damped Oscillations", TPT, Vol. 7, #1, Jan. 1969, p. 59.
  • David D. Lockhart, "Effect of Variable Frequencies on Reactive Circuits", TPT, Vol. 7, #1, Jan. 1969, p. 59.
  • Pierre Cafarelli et al, "The RLC System: An Invaluable Test Bench for Students", AJP, Vol. 80, #9, Sep. 2012, p. 789.
  • Michael C. Faleski, "Transient Behavior of the Driven RLC Circuit", AJP, Vol. 74, #5, May 2006, p. 429.
  • Zdenek Hurych, "Study of the Phase Relationships in Resonant RCL Circuits Using A Dual-Trace Oscilloscope", AJP, Vol. 43, #11, Nov. 1975, p. 1011.
  • Keung L. Luke, "Laboartory Investigation of Free and Driven Oscillations Using A RLC Circuit", AJP, Vol. 43, #7, July 1975, p. 610.
  • W. A. Hilton, "Resonance Experiment", Apparatus Notes, July 1965-December 1972, p. 56.
  • Freier and Anderson, "En-1, Eo-15", A Demonstration Handbook for Physics.
  • Richard Manliffe Sutton, "A-26", Demonstration Experiments in Physics.
  • Richard Berg, Rich Baum, K7-27 - RLC Circuit Demonstration, June 1999, plus included circuit diagram. 
  • "Basic Direct Current Measurements", Lab Experiment, Johns Hopkins University, 2005.
  • Yaakov Kraftmakher, "3.2. LCR Circuit", Experiments and Demonstrations in Physics, ISBN 981-256-602-3, p. 149.
  • Robert L. Wild, "LRC Circuit", Low-Cost Physics Demonstrations, # 148, p. 87.
  • "Simple Alternating-Current Series Circuit", Selective Experiments in Physics, CENCO, 1962.
  • "Alternating-Current Series Circuit", Selective Experiments in Physics, CENCO, 1962.
  • "Kirchhoff's Laws", Selective Experiments in Physics, CENCO, 1962.
  • W. Bolton, "36. Voltage Magnification With A Resonant Circuit", Book 4 - Electricity, Physics Experiments and Projects, 1968, p. 69 - 70.
  • W. Bolton, "33. Electrical Resonance", Book 4 - Electricity, Physics Experiments and Projects, 1968, p. 64. 
  • W. Bolton, "30. Alternating Current Applied to a Resistor, A Capacitor and an Inductor", Book 4 - Electricity, Physics Experiments and Projects, 1968, p. 57 - 58.
  • W. Bolton, "6. Electrical Circuit Energy Level", Book 3 - Atomic Physics, Physics Experiments and Projects, 1968, p. 20 - 21.

Disclaimer: These demonstrations are provided only for illustrative use by persons affiliated with The University of Iowa and only under the direction of a trained instructor or physicist.  The University of Iowa is not responsible for demonstrations performed by those using their own equipment or who choose to use this reference material for their own purpose.  The demonstrations included here are within the public domain and can be found in materials contained in libraries, bookstores, and through electronic sources.  Performing all or any portion of any of these demonstrations, with or without revisions not depicted here entails inherent risks.  These risks include, without limitation, bodily injury (and possibly death), including risks to health that may be temporary or permanent and that may exacerbate a pre-existing medical condition; and property loss or damage.  Anyone performing any part of these demonstrations, even with revisions, knowingly and voluntarily assumes all risks associated with them.

parallel resonance

Parallel Resonance

Nov 18, 2014

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Parallel Resonance. ET 242 Circuit Analysis II. E lectrical and T elecommunication Engineering Technology Professor Jang. Acknowledgement.

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Series Resonance vs. Parallel Resonance: What's the Difference?

give a presentation on demonstration of series and parallel resonance

Key Differences

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  1. Resonance in series and parallel circuits

    The series resonance circuit is analyzed showing that impedance is purely resistive at resonance, with maximum current and unity power factor. Parallel resonance is also examined, with admittance being purely conductance at resonance. Formulas for calculating important resonant characteristics are provided. Read more. Technology Business. 1 of 20.

  2. Series parallel resonance circuit

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  3. Series and parallel resonators

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  4. Resonance in Series-Parallel Circuits

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  5. Resonance in Series and Parallel RLC Circuit

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  8. Series and Parallel Resonance Circuits

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  9. Parallel Resonance and Parallel RLC Resonant Circuit

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  10. 8.2: Series Resonance

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  11. Lecture -- Series & Parallel Resonant Circuits

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  13. Difference between Series Resonance and Parallel Resonance

    The series resonance results in the maximum current through the circuit. The current in circuit at parallel resonance is minimum. Behave of the circuit. The series RLC circuit behaves as an accepter circuit at series resonance. The parallel RLC circuit acts as a rejector circuit at parallel resonance. Magnify.

  14. Properties Of Series And Parallel Resonance Circuits

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  15. 5L20.21

    Connect the labeled leads to the proper inputs of the oscilloscope and the wave generator. Attach the proper capacitance box if not already in place (These are just stuck on with Velcro). Set the wave generator to the 1 to 100 KHz range. As you sweep the generator through the range you will see a point of maximum resonance on the oscilloscope.

  16. Lesson 8

    Lesson 8- Resonance in Series and Parallel Circuits - Free download as PDF File (.pdf) or view presentation slides online.

  17. PPT

    ET 242 Circuit Analysis II - Series Resonance Boylestad5. The average power to the resistor at resonance is equal to I2R, and the reactive power to the capacitor and inductor are I2XC and I2XC, respectively. The power triangle at resonance (Fig. 20.4) shows that the total apparent power is equal to the average power dissipated by the resistor ...

  18. Resonance in parallel rlc circuit

    This document discusses resonance in series and parallel RLC circuits. It defines key parameters for both circuit types including resonance frequency, half-power frequencies, bandwidth, and quality factor. The series resonance circuit is analyzed showing that impedance is purely resistive at resonance, with maximum current and unity power factor.

  19. PPT

    Presentation Transcript. Section 4: AC, Inductors and Capacitors • 0BJECTIVES:This section discusses AC voltage / current and their effects on parallel circuit components (resistors, inductors, transformers and capacitors). The concept of resonance and its use to produce filters is also described. Basic Electricity.

  20. PPT

    ET 242 Circuit Analysis II - Parallel Resonance Boylestad5. The frequency fm is determined by differentiating the general equation for ZT with respect to frequency and then determining the frequency at which the resulting equation is equal to zero. The resulting equation, however, is the following: Note the similarities with Eq. (20.31).

  21. VTU Physics Experiments| A short demonstration on the ...

    In this video, the standard method for finding the inductance value of an inductor employing the phenomenon of Series & Parallel Resonances in an LCR circuit...

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    This document discusses resonance in series and parallel RLC circuits. It defines key parameters for both circuit types including resonance frequency, half-power frequencies, bandwidth, and quality factor. The series resonance circuit is analyzed showing that impedance is purely resistive at resonance, with maximum current and unity power factor.

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    Series Resonance circuits are often used for their ability to select or favor a particular frequency, like in tuning circuits of radios. Parallel Resonance circuits, in contrast, are typically utilized to reject certain frequencies, making them useful in applications like notch filters. The bandwidth is generally broader in Series Resonance ...