Chapter 21, Problem 22Q

(a)

To determine

Whether rms voltage across inductor be greater than the rms voltage of the ac source in an LRC circuit.

Answer to Problem 22Q

yes

Explanation of Solution

Introduction:

As there is an ac source, the voltage is in the form of: $V=V_o\sin \omega t$ . The current in the LCR circuit: $I=\frac{V}{Z}$

Here, Z is the impedance.

At resonant frequency, the voltage is in-phase andthe current in the circuit is driven by resistor. The voltage across inductor and capacitor would be same and can be increased by decreasing the resistance.

Since the voltage can be in phase or out of phase, the rms voltage across the inductance can be greater than the rms voltage of the ac source.

Conclusion:

Yes, rms voltage across inductor can be greater than the rms voltage of the ac source in an LRC circuit.

(b)

To determine

Whether rms voltage across inductor be greater than the rms voltage of the ac source in an LRC circuit

Answer to Problem 22Q

Yes

Explanation of Solution

Introduction:

As there is an ac source, the voltage is in the form of: $V=V_o\sin \omega t$ . The current in the LCR circuit: $I=\frac{V}{Z}$

Here, Z is the impedance.

At resonant frequency, the voltage is in-phase and the current in the circuit is driven by the resistor. The voltage across inductor and capacitor would be same and can be increased by decreasing the resistance.

Since the voltage can be in phase or out of phase, the rms voltage across the capacitor can be greater than the rms voltage of the ac source.

Conclusion:

Yes, rms voltage across capacitor can be greater than the rms voltage of the ac source in an LRC circuit.