Solve for each of the following ac  quantities: a) Z in . b) r L . c) g mo . d) g m. e) A V . f) V out .

Pr1. A metal rod having a mass m and length e has resistance R. The rod hangs from two vertical metallic wires of length l in a uni- form vertical magnetic field B of a horseshoe magnet (see figure). The wires have negligib- le resistance. An AC voltage source is connec- ted between the wires which provides a voltage U(t) = Uo cos wt, where Uo and w are constants. U(t) S m IN a) Show that for small angular displacements p the motion of the rod can be described by the cquation U (t) = aö + Bộ + VP, and express the constants a, 3, y in terms of quantities m, l, B, R and the gravitational ac- celeration g. b) At a certain frequency w = wo the ampli- tude of the oscillations of the rod becomes large and the equation above does not describe the motion anymore. Estimate the frequency wo.

Assuming that a nonzero ac voltage source is applied, state whether the power and reactive power are positive, negative, or zero for a. a resistance in series with an inductance; b. a resistance in series with a capacitance. (Assume that the resistances, inductance, and capacitance are nonzero and finite in value.)

Determine period, frequency and rms value of the plotted current waveforms. 1 } ((A) ((A) PT ro) 1...4.. A+