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Q. 36

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Found in: Page 871

### Physics for Scientists and Engineers: A Strategic Approach with Modern Physics

Book edition 4th
Author(s) Randall D. Knight
Pages 1240 pages
ISBN 9780133942651

# The switch in FIGURE has been open for a long time. It is closed at .a. What is the current through the battery immediately after the switch is closedb. What is the current through the battery after the switch has been closed a long time

a. Immediately after the switch is closed, current flows through the battery.

b. Once the switch has been closed for a long period, the current through the battery is .

See the step by step solution

## Step 1: Calculation for after the switch is closed (part a)

(a).

For circuit,

The inductor has zero current when the switch is instantaneously closed at time .

As a result, the current flows through the middle branch, which has aresistance.

So, to get the current via the battery, we apply Ohm's law.

## Step 2: Calculation for after the switch has been closed a long time (part b)

(b).

The current goes through the inductor after a lengthy period.

The comparable resistance is supplied by the two resistorsand when they are linked in parallel.

To get the current via the battery, we apply Ohm's law.