The magnetic field B ? in a certain region is 0.124T , and its direction is that

Question

The magnetic field B?  in a certain region is 0.124T , and its direction is that of the +z axis in the figure (Figure 1) .

(A) What is the magnetic flux across the surface abcd in the figure? (Wb)

(B) What is the magnetic flux across the surface  befc? (Wb)

(C) What is the magnetic flux across the surface  aefd? (Wb)

(D) What is the net flux through all five surfaces that enclose the shaded volume? (Wb)

The magnetic field B? in a certain region is 0.124T , and its direction is that of the +z axis in the figure (Figure 1) . (A) What is the magnetic flux across the surface abcd in the figure? (Wb) (B) What is the magnetic flux across the surface befc? (Wb) (C) What is the magnetic flux across the surface aefd? (Wb) (D) What is the net flux through all five surfaces that enclose the shaded volume? (Wb)

Explanation / Answer

The flux that crossing whole surfaces is ZERO.

so the flux crossing abcd and aefd is zero, so for the befc , the magnetic flux is

0.128 * 0.3 * 0.3 * cos 180 = -0.01152 wb.

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