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Q. 48

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Found in: Page 872

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

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

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# FIGURE shows two -turn coils tightly wrapped on the same-diameter cylinder with -diameter wire. The current through coil is shown in the graph. Determine the current in coil at (a) and (b) . A positive current is into the page at the top of a loop. Assume that the magnetic field of coil passes entirely through coil .

a.Current coilat timeis.

b.Current coilat timeis.

See the step by step solution

## Step 1: Calculation of area of coil

Current,

Magnetic field for coil is,

Whereis the length of coil.

Whereis the diameter of the wire.

The coil's surface area is,

## Step 2: Calculation of current in coilat (part a)

(a).

Substituteandvalues,

At,

Because the current is continuous, there is no change in current over time.

That the loop's induced current will be zero.

## Step 3: Calculation for current in coilat time (part b)

(b).

At, the current changes.

So, between the two points, and the slope is

All values should be substituted,

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