A square loop of wire, 0.66 m on each side, has one edge along the positive z-ax

Question

A square loop of wire, 0.66 m on each side, has one edge along the positive z-axis and is tilted toward the y-z plane at an angle of 30.0 degree with respect to the horizontal (x-z plane). There is a uniform magnetic field of 0.28 T pointing in the positive x-axis direction. (a) What is the flux through the loop? (b) If the angle increases to 60 degree, what is the new flux through the loop? (c) While the angle is being increased, which direction will current flow through the top side of the loop? (a) Phi_B = Wb (b) Phi_B = Wb (c) The current in the top side of the loop must flow in the direction.

Explanation / Answer

Plug values in this formulation

a.) BAsin 30 (be sure to square the .70 to account for the sides)
=0.28*.66*.66*0.5 =.0609

b.) BAsin 60
= 0.28*0.66*0.66*0.866= .1056
c.) in negative z direction

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