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Set 54 Problem number 8


Problem

What is the flux of a magnetic field of magnitude 7.2 Tesla through a square loop with side 7.5 meters, if the field is perpendicular to the plane of the loop?

Solution

The area of the region is ( 7.5 m) ^ 2 = 56.25 m ^ 2, so the flux of a perpendicular 7.2 Tesla field would be

Generalized Solution

The flux of any vector field through an area A is equal to the product of the field strength and the area, as long as the vector field is directed perpendicular to the area. In this case we have a magnetic field B directed perpendicular to an area A, so the flux is just

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