Someone has already provided a solution (their answer below), which appears to b

Question

Someone has already provided a solution (their answer below), which appears to be correct. Please explain why (from their answer) for part (b) the angle used is 180 degrees, and for part (c) why do we multiply by (3/5) instead of multiplying by cos?

The magnetic field B  in a certain region is 0.128 T, and its direction is that of the + z -axis in the Figure (Figure 1) .

Part A

What is the magnetic flux across the surface abcd in the figure?

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Part B

What is the magnetic flux across the surface befc?

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Significant Figures Feedback: Your answer .01152 Wb was either rounded differently or used a different number of significant figures than required for this part.

Part C

What is the magnetic flux across the surface aefd?

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Significant Figures Feedback: Your answer .01152 Wb was either rounded differently or used a different number of significant figures than required for this part.

Part D

What is the net flux through all five surfaces that enclose the shaded volume?

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Figure 1 of 1

Explanation / Answer

b) for befc

magnetic flux = BA cos(theta)

where theta is angle between magnetic field and area vector

for 'befc' area vector points in -Z direction where as field is in Z direction as given in question. So it is antiparallel hence theta is 180 degrees

magnetic flux = 0.128*0.3*0.3*cos 180

= -0.01152 Wb

C) whole figure is divided by axis x y and z in 5 parts and since aefd includes 3 part and we are finding flux through that aefd region only that is placed in plane parallel to xyz hence no need to use cos(theta) and simply multiply by 3/5

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