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Please answer the following question completely! Initially, two identical spring

ID: 2260146 • Letter: P

Question

Please answer the following question completely!

Initially, two identical springs are attached vertically to a ceiling. These springs support a copper rod in equilibrium as shown below. The rod is then connected to a battery using wires of negligible mass. The battery rests on a table (not shown). Also, an external magnetic field "B" is "turned on"; "B" is uniform in the vicinity of the rod and is directed out of the paper (toward you). The source of "B" is not shown. After just a few moments, the rod is once again in equilibrium, having risen a height Deltax. Suppose that the length of the rod "L" is 0.4 m, the spring constant for both springs "k" is 20 N/m, the external magnetic field "B" has a magnitude of 2 T, and that Deltax = 1 cm. Find the magnitude of the current "I" in the rod.

Explanation / Answer

so

F spring = F magnetic

k dx = I L B

I = 20*0.1/(0.4*2)= 2.5 A