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Q. 48

Physics for Scientists and Engineers: A Strategic Approach with Modern Physics
Found in: Page 872

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Short Answer

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 by Step Solution

Step 1: Calculation of area of coil


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)




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)


At, the current changes.

So, between the two points, and the slope is

All values should be substituted,

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