Question

The figure below displays a circular loop of metal wire in a uniform magnetic field pointing into the page. The radius of the loop is 13.0 cm and the magnitude of the field is 0.140 T. You grab points A and B and pull them in opposite directions, stretching the loop until its area is nearly zero, taking a time of 0.230 s to do so. What is the magnitude of the average Induced emf in the loop (in mV) during this time? X A 1 M my

Answer 1

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Induced enfa - Ndo dt Faraday's haw) (N=1) here OBA do.dBA) here B - Constant = 0.140 T so that do= B. DA do B dA It dA= re the change in the dt area At first the area= area Tre ( area of circle) y= 13 cm = (3x10-2) m = 13x102 = 0.13 m - sit to area = 7+0.13) 2 = 0-0530 m2 at t= 0.235 area = ome dA= 0.050mt in dt = 0.235

dA It 0.0530 (m / ) = 0.2307/8 0230 .: Induad emt E -(1.40 x 10 ) g) (8 1230 (5/8) -0.0322 V 11 32.2 mv