A magnetic field passes through a stationary wire loop, and itsmagnitude changes

Question

A magnetic field passes through a stationary wire loop, and itsmagnitude changes in time according to the graph in the drawing.The direction of the field remains constant, however. There arethree equal time intervals indicated in the graph: 0 –3.0 s, 3.0 – 6.0 s, and 6.0 –9.0 s. The loop consists of 47 turns of wire and has an areaof 0.16 m2. The magnetic field is oriented parallel tothe normal to the loop. For purposes of this problem, this meansthat = 0° in Equation 22.2.(a) For each interval, determine the induced emf.(b) The wire has a resistance of 0.50. Determine the induced current for the first andthird intervals.

(a) 1 = -+ AWOhmV
2 =
AWOhmV
3 = +- VAOhmW (b) I1 = +- OhmWAV
I3 = -+ OhmAWV

Explanation / Answer

so e=47(.16)(.4/3) 3=t .16=a .4=b 47=n
in e2 the induced emf is zero because there is no change inmagnetic field

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