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Q. 82

Physics for Scientists and Engineers: A Strategic Approach with Modern Physics
Found in: Page 875

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Short Answer

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,

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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

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