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There exists a uniform magnetic field of 1.60 T in the negative y-direction as s

ID: 2089437 • Letter: T

Question

There exists a uniform magnetic field of 1.60 T in the negative y-direction as shown. A) What is the total flux through each of the triangular sides (parallel to the yz-plane)? B) What is the total flux through the rectangular base of the prism (parallel to the xy-plane)? C) What is the total flux through the rectangular side of the prism (parallel to the xz-plane)? D) What is the total flux through the sloped rectangular side of the prism? E) What is the net flux through the entire closed surface of the prism?

Explanation / Answer

There exists a uniform magnetic field of 1.60 T in the negative y-direction as shown.

A) What is the total flux through each of the triangular sides (parallel to the yz-plane)?

0 Wb


B) What is the total flux through the rectangular base of the prism (parallel to the xy-plane)?

0 Wb


C) What is the total flux through the rectangular side of the prism (parallel to the xz-plane)?

flux = A B cos(0) = (0.5*tan30)*1.2 * 1.6 = 0.554 Wb


D) What is the total flux through the sloped rectangular side of the prism?

flux = A B cos(90+30) = (0.5/30o)*1.2 * 1.6 * (90+30)o = -0.554 Wb


E) What is the net flux through the entire closed surface of the prism?

0 Wb

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