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Q. 6

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

# An equilateral triangle on a side is in a uniform magnetic field. The magnetic flux through the triangle is . What is the angle between the magnetic field and an axis perpendicular to the plane of the triangle?

The angle between the magnetic field and an axis perpendicular to the plane of the triangle,

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: The area of the triangle

The entire area of a triangle is equal to half of it's own base times its height. The Pythagoras equation is used to compute the altitude.

Therefore the area of a triangle,

Then align the equation for to obtain

(3)

## Step 3: The angle

Then put the data for , and to the equation(3) to obtain