Series RLC Circuit Resonance
33 Questions
0 Views

Choose a study mode

Play Quiz
Study Flashcards
Spaced Repetition
Chat to lesson

Podcast

Play an AI-generated podcast conversation about this lesson

Questions and Answers

What happens to the reactance of inductor and capacitor at the resonance frequency?

  • VL = VC (correct)
  • VL < VC
  • VL > VC
  • VL, VC = 0

    • What is the nature of the circuit at resonance?

  • Purely resistive (correct)
  • Purely capacitive
  • Purely inductive
  • Inductive-capacitive

    • What is the minimum value of impedance?

  • R + X
  • R - X
  • R / X
  • R (correct)

    • What is the purpose of varying the frequency of the function generator in the experiment?

    <p>To observe series resonance</p> Signup and view all the answers

    What is the shape of the curve of impedance vs frequency at resonance?

    <p>Minimum at resonance frequency</p> Signup and view all the answers

    What is the impedance of an inductor?

    <p>ZL=jXL</p> Signup and view all the answers

    What is the frequency at which the impedance Z becomes purely resistive?

    <p>f=w_s</p> Signup and view all the answers

    What is the condition for series resonance?

    <p>XL=X_C</p> Signup and view all the answers

    What is the expression for the impedance of a capacitor?

    <p>Z_C=-j/(wC)</p> Signup and view all the answers

    What is the expression for the current at resonance in a series RLC circuit?

    <p>I= V/R</p> Signup and view all the answers

    What is the condition for a series RLC circuit to be resonant?

    <p>The overall reactance of the circuit is zero</p> Signup and view all the answers

    What happens to the current in a series RLC circuit when f < fs?

    <p>The current leads the applied voltage</p> Signup and view all the answers

    What is the formula for the impedance of a series RLC circuit?

    <p>Z = R + j𝜔L + 1/(j𝜔C)</p> Signup and view all the answers

    What is the significance of the resonance frequency in a series RLC circuit?

    <p>It is the frequency at which the impedance is purely resistive</p> Signup and view all the answers

    What is the characteristic of a series RLC circuit at resonance?

    <p>The circuit is purely resistive</p> Signup and view all the answers

    What is the unit of complex admittance?

    <p>Siemen</p> Signup and view all the answers

    What is the relationship between the current IR and the applied voltage in a parallel RLC circuit?

    <p>IR is in phase with the applied voltage</p> Signup and view all the answers

    What is the expression for the current IL through the inductance in a parallel RLC circuit?

    <p>IL=V/XL=V.BL</p> Signup and view all the answers

    What is the purpose of connecting the circuit as shown in Fig. 1?

    <p>To study the characteristics of a parallel RLC circuit</p> Signup and view all the answers

    What is the frequency set on the function generator in the experiment?

    <p>200 Hz</p> Signup and view all the answers

    What is the purpose of using an oscilloscope in the experiment?

    <p>To measure the phase shift between the applied voltage and the current</p> Signup and view all the answers

    What is the value of the resistance R1 used in the experiment?

    <p>30 Ω</p> Signup and view all the answers

    What is the expression for the total current I in a parallel RLC circuit?

    <p>I=V/Y</p> Signup and view all the answers

    What is the phase angle Ф given by in a parallel RLC circuit?

    <p>Ф=tan⁻¹(B/G)</p> Signup and view all the answers

    What is the unit of complex voltage?

    <p>Volts</p> Signup and view all the answers

    What is the phase relation between the current IR and the applied voltage in a parallel RLC circuit?

    <p>IR is in phase with the voltage</p> Signup and view all the answers

    What is the expression for the current IC through the capacitor in a parallel RLC circuit?

    <p>IC=V/XC</p> Signup and view all the answers

    What is the purpose of the experiment?

    <p>To study the characteristics of a parallel RLC circuit</p> Signup and view all the answers

    What is the value of the inductance L used in the experiment?

    <p>10mH</p> Signup and view all the answers

    What is the phase angle Ф given by in a parallel RLC circuit?

    <p>Ф=arctan(XL/XC)</p> Signup and view all the answers

    What is the function of the oscilloscope in the experiment?

    <p>To measure the phase shift between the applied voltage and the current</p> Signup and view all the answers

    What is the expression for the complex admittance Y?

    <p>Y=G±jB</p> Signup and view all the answers

    What is the purpose of the function generator in the experiment?

    <p>To generate a sine wave of 200 Hz</p> Signup and view all the answers

    Study Notes

    Series RLC Circuit

    • In a series RLC circuit, voltage VL leads the current by 90°.
    • When f > fs, the reactance of the inductor L exceeds the reactance of the capacitor C, and the overall reactance is positive.
    • Current lags the applied voltage V.
    • The impedance of the inductor is always imaginary and leads the resistor R by 90°.
    • The reactance of a capacitor is XC = 1/(ωC) and its impedance is ZC = -j/(ωC), always imaginary and lagging behind the resistor by 90°.

    Reactance and Impedance Curve

    • The impedance of L and C in series is ZLC = j(XL - XC).
    • The impedance of the entire RLC circuit is Z = R - j(XL - XC).
    • At resonance, the impedance Z becomes purely resistive, and I = V/R.

    Series Resonance

    • Series resonance occurs when XL = XC, and the circuit is purely resistive.
    • Series resonance can be obtained by varying L or C or both, or by varying the frequency of the applied signal.
    • At resonance, the voltage V across the circuit is in phase with the current I.

    Phasor Diagram

    • The phasor diagram of a series RLC circuit shows the voltage and current relationships.
    • At f = fs, VL and VC cancel each other, and the circuit is purely resistive.

    Experiment: Series Resonance in RLC Circuits

    • The objective is to investigate the characteristics of a series RLC circuit in the region of resonant frequency.
    • The apparatus includes a dual beam oscilloscope, function generator, resistance boxes, capacitance boxes, inductance boxes, digital multi-meter, coaxial cables, and connecting wires.
    • The procedure involves connecting the circuit, setting the output of the function generator, and recording measurements at different frequencies.

    Parallel RLC Circuit

    • In a parallel RLC circuit, the current IR flowing through the resistor R is in phase with the applied voltage V.
    • The current IC flowing through the capacitor leads the voltage by 90°, and the current IL flowing through the inductor lags the voltage by 90°.
    • The total current I is given by I = √(IR² + (IC - IL)²).

    Admittance

    • Admittance is defined as Y = I/V, and the complex admittance is expressed as Y = G + jB, where G is conductance and B is susceptance.
    • The phase angle Ф is given by Ф = tan⁻¹(B/G).

    Studying That Suits You

    Use AI to generate personalized quizzes and flashcards to suit your learning preferences.

    Quiz Team

    Related Documents

    Experiment No. 7: Resonance in Series AC Circuits PDF
    Experiment 6 Parallel RLC Circuits-II PDF

    Description

    Learn about series resonance in RLC circuits, how to obtain it by varying L, C, or frequency, and understand the phasor diagram. Discover the conditions for a purely resistive circuit.

    More Like This

    AC Circuits Experiment: RLC Series Circuits
    110 questions

    AC Circuits Experiment: RLC Series Circuits

    MarvellousMystery avatar
    MarvellousMystery
    Series Resonance in RLC Circuits
    24 questions

    Series Resonance in RLC Circuits

    MarvellousMystery avatar
    MarvellousMystery
    RLC Series Circuits Experiment
    7 questions

    RLC Series Circuits Experiment

    MarvellousMystery avatar
    MarvellousMystery
    Analiza frekvencije serijskih kola RLC
    10 questions

    Analiza frekvencije serijskih kola RLC

    ThoughtfulPopArt avatar
    ThoughtfulPopArt
    Use Quizgecko on...
    Browser
    Open
    Browser
    Browser