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Q. 44

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

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Short Answer

A cmcm square loop of wire lies in the -plane with its bottom edge on the -axis. The resistance of the loop is. A magnetic field parallel to the -axis is given by, where is in tesla, in meters, and in seconds. What is the size of the induced current in the loop at ?

Size of Induced current at loop,

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Step by Step Solution

Step1: Induced current

A induced current when a wire coil is put in a changing flux. Something creates an electrical field that causes current to flow by moving the costs around the wire.

Step2: Find  using given values

The force field in terms of your time within the form

We apply Ohm's law to calculate the induced current across the loop, as illustrated in the following equation.

Where is that the induced emf within the loop. From Faraday's law, the induced emf is that the change of the magnetic flux inside the loop and it's given by the equation

Where is the flux through the loop which is that the amount of magnetic fiux that flows through a loop of area and it's given by

use this expression of into equation to induce by

Step3: Find Induce current

By using expression of and into equation to induce by

are going to be the side of the square loop . The area of the loop is

plug the values for and into equation (3) to get

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