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Q. 38:

Expert-verified
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

# A 100-turn, the 2.0-cm-diameter coil is at rest with its axis vertical. A uniform magnetic field away from vertical increases from to in . What is the induced emf in the coil?

is the current in the loop.

See the step by step solution

## Step 1: Introduction

When a conductor is put in a fluctuating magnetic field, "an electrode material effect is generated," according to Faraday's original electromagnetic hypothesis. A current is induced when ever a conductor circuit is completed, and this is called as an induced current.

## Step 2: Simplification

The electromotive force is the charge of magentic flux inside of the loop, as determined by Faraday's law, and it is defined by equation in the form

Equation

With is the flux and through loop, which is the amount of magnetic field that flows through a loop of area , is the flux through the loop, which is given by

Let's plug this expression into equation () to get .

Equation

## Step 3: Calculate the area of loop

The loop's area is computed by

In the time , the strong magnetic changes from to , then we get this changes over the years by

To be get , we plug the values of , , with Equation (2).