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Introduction to RLC Circuits Practice Questions

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Magnetism Learning Material
Tutorial IDTitleTutorialVideo
Tutorial		Revision
Notes		Revision
Questions
16.15Introduction to RLC Circuits

Introduction to RLC Circuits Revision Questions

1) The initial potential difference between the plates of a 2μF capacitor connected in an alternating 60Hz RLC circuit shown in the figure is 12V and the resistance of resistor in the circuit has a value of 0.5Ω.

Physics Tutorials: This image provides visual information for the physics tutorial Introduction to RLC Circuits

At a certain instant, the source is removed from the circuit. In such conditions, calculate the time elapsed until the maximum charge stored in the capacitor plates becomes half of the maximum charge stored in the plates before the source was removed from the circuit.

Take the initial phase as zero and ω' ≈ ω. Use a logarithmic approach and write the answer to the nearest whole number.

  1. 0s
  2. 1s
  3. 10s
  4. 11s

Correct Answer: A

2) The initial values of a RLC circuit operating at 60 Hz are shown in the figure. What is the energy stored in the capacitor plates 0.1 s after the power source is removed from the circuit? For simplicity, take ω' ≈ ω and φ = 0.

Physics Tutorials: This image provides visual information for the physics tutorial Introduction to RLC Circuits
  1. 0.135 J
  2. 0.292 J
  3. 1.771 J
  4. 2.16 J

Correct Answer: B

3) In which of the circuits below the resistance is the lowest at the initial instant of circuits operation? Take the maximum current flowing through all circuits as 0.5A and the maximum voltage across every operating device as 12V. Consider any individual reactance as a resistance of the circuit itself. All circuits are operating at the same frequency f = 50 Hz.

Physics Tutorials: This image provides visual information for the physics tutorial Introduction to RLC Circuits
  1. Circuit I
  2. Circuit II
  3. Circuit III
  4. Circuits II and III

Correct Answer: A

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