# When a D.C source is switched in purely inductive, the current response is

When a D.C source is switched in purely inductive, the current response is

### Right Answer is: A straight line passing through the origin

#### SOLUTION

When a D.C source is switched in purely inductive, the current response is a straight line passing through the origin.

Detailed Explanation:-

Energy is stored in the electromagnetic field of an inductor when it is connected to a dc voltage source. The buildup of current through the inductor occurs in a predictable manner, which is dependent on the time constant of the circuit.

Switching of DC is an example of step excitation

The current through the inductor is given by:

$V = L\frac{{di}}{{dt}}$

$\frac{V}{L} = \frac{{di}}{{dt}}$

Since V is step excitation, V/L is also step excitation

$\frac{{di}}{{dt}} = step\;response$

Integrating the above expression

$i = ramp\;response$

Hence current through the inductor is a straight line passing through the origin.

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