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Problem 7: A conducting rod spans a gap of length L = 0.385 m and acts as the fourth side of a rectangular conducting loop, as shown in the figure. A constant magnetic field B = 0.55 T pointing into the paper is in the region. The rod is moving under an external force with an acceleration a = At², where A = 1.5 m/s4. The resistance in the wire is R = 85 Q. Randomized Variables L = 0.385 m B = 0.55 T A = 1.5 m/s4 R = 85 Q R A 13% Part (b) Express the speed of the rod, v, in terms of A and t. Assume v = 0 at t = 0. A 13% Part (c) Express the position of the rod, x, in terms of A and t. Assume x = 0 at t = 0. A 13% Part (d) Express the derivative of the magnetic flux, do/dt, in terms of B, A, I and t. A 13% Part (e) Express the magnitude of the emf induced in the loop, s, in terms of B. L. A and t. A 13% Part (f) Express the current induced in the loop. I, in terms of & and R. A 13% Part (g) Express the current induced in the loop. I, in terms of B. L. A, t, and R. Calculate the numerical value of I at t = 2s in A. A 13% Part (h) I(t=2s) = X X X X E13% Part (a) Express the magnitude of the magnetic flux going through the loop. D, in terms of B, x and L. ¢=BxL ✓ Correct! X X X X X X X x-x L X X X X X X X X X X X X X X B
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