(Solved): EM 130 Faraday's law and applications The results of the previous exercises are consistent with the ...

EM 130 Faraday's law and applications The results of the previous exercises are consistent with the idea that a change in the magnetic flux through the surface of a loop results in an emf in that loop. If there is a conducting path around the loop (e.g., a wire), there will be a current. The emf is independent of the material of which the loop is made; the current is not. It is found by experiment that the induced emf is proportional to the rate of change of the magnetic flux through the loop. This relationship is called Feraday's low. The direction of any induced current is given by Lenz' law. D. Three loops, all. made of the same type of wire, are placed near the ends of identical solenoids as shown. The solenoids are connected in series. Assume that the magnetic field near the end of each of the solenoids is uniform. Loop 2 consists of two turns of a single wire that is twice as long as the wire used to make loop 1 . Loop 3 is made of a single wire that is half as long as the wire used to make loop 1 . Just after the switch has been closed, the current through the battery begins to increase. The following questions concern the period of time during which the current is increasing. Let

represent the induced cm of loop 1. Find the induced emf in each of the other loops in terms of

. Explain your reasoning. Let

represent the resistance of loop 1 . Find the resistance of each of the other loops in terms of

. Explain. Find the current induced through the wire of each of the loops in terms of

and

.