A rectangular wire loop of height h , width w and net electrical resistance R li

Question

A rectangular wire loop of height h, width w and net electrical resistance R lies in the x-y plane. As shown in the figure below, there is a region of space at -1.5w < x < 0 in which there is a magnetic field pointing in the -z direction. In order to determine the magnitude of this field, a student pulls the wire loop through the magnetic field region at a constant velocity v in the +x-direction, and measures the current I induced in the loop during this process.

If, when the leading edge, A, of the loop is located at xA = -w, the student measures a current of 20

A rectangular wire loop of height h, width w and net electrical resistance R lies in the x-y plane. As shown in the figure below, there is a region of space at -1.5w

Explanation / Answer

emf generated = B*h*v

current = emf/Resistance

20 *10^-6 = B*h*v/ R

20*10^-6 = B*0.04 *0.07/43

B = 0.307 T

  

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