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Q. 43

Physics for Scientists and Engineers: A Strategic Approach with Modern Physics
Found in: Page 871

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Short Answer

A -diameter, -turn coil of wire, located at in the-plane, carries a current of -diameter conducting loop with resistance is also in the plane at the center of the coil. At , the loop begins to move along the -axis with a constant speed of . What is the induced current in the conducting loop at The diameter of the conducting loop is much smaller than that of the coil, so you can assume that the magnetic field through the loop is everywhere the on-axis field of the coil.

On-axis field of the coil,

See the step by step solution

Step by Step Solution

Step1: Faraday' principle

The principle of Faraday,

According to Faraday's equation of induction, the amplitude of the electromotive force in a circuits is proportional to the rate of rate of change of magnetic that cuts across the circuit.

Step2: Simplification

Given values:

Using the formula,

From Faraday's law,

Step3: Find the value of 

We know that, :

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