Q. 82

Expert-verified
Found in: Page 875

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

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

# The metal wire in FIGURE moves with speed parallel to a straight wire that is carrying current . The distance between the two wires is. Find an expression for the potential difference between the two ends of the moving wire.

Potential Difference between two ends,

See the step by step solution

## Step1: Introduction

A field of force is generated by a current-carrying wire, and the Biot-Savart law allows us to calculate the magnitude and direction of this flux. Any moment the force field varies as a function of the segment of current-carrying wire is given by equation

## Step2: Find the Flux

The induced emf, as per Faraday's law, is the change in magnetic force inside the loop, and it's computed using an equation within the shape.

Where is that the flux through the wire which is that the quantity of magnetic flux that flows through a wire of area and it's given by

The flux changes from point to point where is the length of the wire. So, we integrate the flux by

## Step3: The voltage difference between two points

Use this expression of into equation to urge by

Where is that the speed of the loop