We are given a LCR circuit with , , , and . We have to find the amplitude of the voltage across the inductor at resonance. We have to answer whether the amplitude of the voltage across an inductor can be greater than the amplitude of the generator emf in an RLC circuit.

Solution:             Click For PDF Version

Let the generator emf be described by the function

,

And the current in the circuit be given by the function

.

At resonance

And the impedance of the LCR is R.

We have

Voltage across the inductor is given by

Therefore, the amplitude of the voltage across the inductor at resonance will be

From this example, we note that the amplitude of the voltage across an inductor can be greater than the amplitude of the generator emf in an RLC circuit.