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Q. 24

Expert-verified
Found in: Page 831

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

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

# What is the line integral of between points i and f in FIG URE EX29.24?

The line integral will be

See the step by step solution

## Step 1: Given information

We have given, a current carrying wire as shown in the above diagram.

We have to find the line integral of the magnetic field along the current carrying wire.

## Step 2: Simplify

Using ampere's law, for any path is given by,

Where I is a total current in the magnetic field curve.

Since two straight component of wire is perpendicular to the magnetic field then,

We need to find the integral of magnetic field only along the curve path.

we know the magnetic field due to half circular ring at its center using Biot's savert law.

put this value in equation (1),