Problem 7 Half of a circular loop (area vector out of the page) of radius r=1.2m is inside a region (dotted area in the picture) with a homogeneous magnetic field B of 2T pointing into the page. The resistance of the loop is 2009. a) What is the magnetic flux through the loop? X B : $71r" B con 18 0" 1 TT ( 1 2 m ) 2 T cool80 = - 4.52 Wb b) If the magnetic field B increases in intensity at a rate of 0.04T/s, calculate the magnitude and direction of the induced current in the loop. Assume the position of the loop is as in the picture above. E= - d(AB @ 180") = | AdB |= LTra dB at 1 = 3 at E = AT (12mm ) 2 0C4 T/S = 0.090V I = Ep = 0.090V : 4.52 x 10 A coverdeckwire 20 0 5 c) The loop is now pushed in the +x-direction. If the area of the loop exits the magnetic field region at a rate of 0.5m2/s, calculate the magnitude and direction of the induced current in the loop. B = 27. E . J - 8 ( A ? ()80")| | 24 B/ = 0.5 mys 2T = IV I = Elp : " / 2con = 5 x 10" A