Set 54 Problem number 8


Problem

Problem: What is the flux of a magnetic field of magnitude 5.4 Tesla through a square loop with side 2.2 meters, if the field is perpendicular to the plane of the loop?

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Solution

Solution: The area of the region is ( 2.2 m) ^ 2 = 4.84 m ^ 2, so the  flux of a perpendicular 5.4 Tesla field would be ( 5.4 T)( 4.84 m ^ 2) = 26.13 Tm ^ 2.

Generalized Solution

Generalized Response: 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 flux = B * A.

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Explanation in terms of Figure(s), Extension

Figure description:

Figure(s)