Question

2. A magnetic field B Bêz in a certain space. A circular conducting loop of radius 5 cm and total resistance 1.512 originally lies on the sy-plane with its center at the origin. (a) If a counterclockwise current I = 0.045 A is induced on the loop, find dB. (10%) (b) Forget about part (a). Now set B = 0.05T, and at time t = 0 the loop starts to rotate about the 3-axis at a angular rate w=0.057 rad/sec. Find the induced current in the loop. (10%) 3. A very long conducting wire on the z-axis carries a current I. A square conducting wire with the length of each side lo lies on the yz-plane with the closer side parallel to and to away from the z-axis. The coordinates of the loop's each vertices are all with y > 0,2 > 0. All quantities in proper units. (a) The current through the wire is I = losinut while the loop remains at rest. Find the induced emf in the loop. (10%) (b) Forget about part (a). At time t = 0, the current through the wire is I = loe-at with a > 0. The loop starts to move away from the wire with a constant velocity ű = voêy, with vo > 0. The total resistance in the loop is R. Find the magnitude and the direction of the induced current as seen from positive x-axis. (10%) Z

Answer 1

use the given law .