Two circular loops of wire with small bulbs in them are silling beside two long

Question

Two circular loops of wire with small bulbs in them are silling beside two long straight current-carrying wires. The wire loops, bulbs, and long straight wires are identical for the two cases. The loops are the same distance from the straight wires. The currents in the long straight wires as a function of time are given in statements 1-6 below. For each of these situations, identify whether: neither bulb is lit. only bulb A is lit. only bulb B is lit. both bulbs are lit and equally bright. both bulbs are lit, and bulb A is brighter. both bulbs arc lit. and bulb B is brighter. For each situation 1-6 below identify the effect from a-f above. There is a constant current in wire A of 6 A (amperes) and in wire B of 15 A. Both wires start with the same initial 3 A current, but the current in wire B increases to 6 A in a 03 second interval while that in A remains constant. The current in wire A goes from 2 A to 10 A in a 0.5 second interval, while at the same time, the current in wire B goes from 12 A to 16 A. The current in wire A decreases from 10 A to 4 A in a 0.2 second interval, while the current in wire B increases from 9 A to 18 A in 0.3 seconds. The current in wires A and B both double in a 0.2 second interval, but the current in wire A starts at twice the initial value of B. Both currents decrease from 32 A to 9 A, but the time interval for A is 0.5 seconds, while for B, the interval is 0.2 seconds.

Explanation / Answer

1) a since no change in I no change in flux so no emf in either
2) c, since only B changes

3) A changes more than B so e

4) for A, 6/0.2 = 30 A/s for B 9A/0.3 = 30 A/s so same change per time so d)

5) A changes more than b so e)
6) B changes faster so f)

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