Question

A circular loop of radius 5.0 cm and resistance 0.4 Ω lays in the horizontal XY plane. A uniform magnetic field is established pointing upwards, that's to say, in the direction of the positive Z axis. At t = 0, the magnitude of the magnetic field is 120 mT, but then it is increasing at a rate of 40 mT/s.

Find the induced current in the loop at t = 1 s, and discuss whether its direction is clockwise or counterclockwise if we look from above.

Answer 1

Please check the image below.

Let us draw Z axis. the corculan Look of radius (2) - 5 cm -0.05 m. B? The loop is in x-y plane. So, the area of the loop, As the ito, dt [ arca is in normal direction of try plane il. z-axis] Now, given rate of change of magnetic field - 40 mT/s. 0.04 T/s.(2) know from Faraday's tau, when magnetic flux changes with time, an electme induction, The voltage arises this change in magnetic field is, E 20 8.45) we there amises field due were que to S So, the V R = -(0.04). (an2 å E 0.04 x 7 x 10.0592 volt. - y = -3:14 x10 9 volt. -3.14x15 mV. Ciwan the nesistance of the loop is (R), = 0.42. Current through the wire, z = I 3.14x10-9 0.4 Amp. 0.785 mA. negative sign indicates the flow of current weil clockwise direction. the change in magnetic field is in Z-direction, the induced current will Any cunnent is clockwise. 7. 85x10-9 that be in Physically also as to restrict ot. As a result