Question

The alternating current \( I \) in an inductor is observed to vary with time \( t \) as shown in the graph for a cycle.

Which one of the following graphs is the correct representation of wave form of voltage \( V \) with time \( t \)?}

• A.
• B.
• C.
• D.

Hint:

In an inductor, the voltage is proportional to the rate of change of current, resulting in a voltage waveform that differs from the current waveform.

Answer 1

The Correct Option is C

Step 1: The relationship between current and voltage. For an inductor, the voltage is related to the derivative of the current with respect to time. If the current is shown to be varying with time in a triangular waveform, the voltage will be proportional to the rate of change of current.

Step 2: Analyzing the waveform. The correct representation of the voltage waveform is derived from the fact that voltage is the derivative of current, which corresponds to the graph of \( \sqrt{t/T} \), corresponding to option .