Q.45

Expert-verified
Found in: Page 832

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

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

# Find an expression for the magnetic field strength at the center (point P) of the circular arc in

See the step by step solution

## Step.1. Given information

We should find an expression for the magnetic field strength at the center (point P) of the circular arc in

## Step.2 solution

A current-carrying wire produces a magnetic field the Biot-Savart law enables us to calculate the magnetic field at any point where the magnetic field due to the segment of current-carryinjg wire is given by equation

(1)

The two straight wires are parallel to the point P, so both wires apply zero magnetic fields at point P in this case, the magnetic field at point P is due to the arc wire. The arc wire apply a perpendicular magnetic field at point P, so the magnetic field due to the arc is

(2)

At very small segments the angle is very small where and from the given figure, segment is

Where r is the radius of the arc. Now, we substitute the expression into equation to get