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Q. 8

Expert-verified
Found in: Page 869

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

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

# FIGURE EX30.8 shows a diameter solenoid passing through the center of a diameter loop. The magnetic field inside the solenoid is . What is the magnetic flux through the loop when it is perpendicular to the solenoid and when it is tilted at a angle?

The magnetic flux through the loop when it is perpendicular to the solenoid,

and when it is tilted at angle,

See the step by step solution

## Step 1: The magnetic flux

A magnetic flux seems to be the magnitude of magnetic field which passes through some kind of ring of area . If the magnetic field lies straight towards the plane's normal, This magnetic flux was provided by

The magnetic flux, however, would be supplied by if the magnetic field forms an angular position only with planes.

## Step 2: Flux when it is perpendicular to the solenoid

The inclination of the parallel solenoid is perpendicular to the area's normal, hence the inclination is zero . The flux does have a region equivalent to the solenoid's sector, as well as any magnetic field beyond this zone had zero flux. The solenoid has a diameter of . As a result, the area is

Then, you put the data for , and to the equation (2) to obtain

## Step 3: Flux when it is tilted at a  angle

The area would be tilted by the angle of , and thus surface area in the another instance would be

Then, you put the data for , and in the equation (2) to obtain

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