Question

Review Part A A 20.0 cm x 200 cm square loop of wire lies in the xy plane with its bottom edge on the x-axis. The resistance of the loop is 0.520 A A magnetic field parallel to the z-ads is given by B=0.780 y t, where B is in tesla, y is in meters, and is in seconds. What is the size of the induced current in the loop at t=0.450 s? Express your answer with the appropriate units. Value Units Submit

Answer 1

OB som auds fe ZK - 20cm Let us consider a small area as in the rectangular loop. Area rector of the small area is given as 1 ts = ds (2} = dudy (2) (: the loop is in my plane , magnetic field along tZ axis is Ř = 0.78 y++ (2) flux through this small area will be ofd&= 5Bds = 0.78 y?l() ds (2) = 10.78 y t dady ( 2.2) Now ².² = 1, limit of n = o to 20x15m, limit of y oto 20x10²m :.0=d&=180.78 y² & dady = 0.78 € Syeday folen = 0.78+ [ u 02 []002 = 0.78€ (0.2) x 02 =4.4681047 induced emy = 0 = 14-16x10* 4) =4-16x1640 * Induced emy is independent of for R=0:52 , Cerrent I = ☆ . It a Pirne =4-16x104 1:5X10 = 8 x104A 0.52