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Q. 6

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Physics for Scientists and Engineers: A Strategic Approach with Modern Physics
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Short Answer

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,

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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

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