Question

For each of the following problems, write up your solutions using the 4-step problem-solving procedure (get started, plan, execute, evaluate) that is detailed in the problem set rubric. Please include sketches of the problem and words describing the steps, not just the math.

1. The current through an inductor of inductance L is given by i(t) = i max sin(ωt). Derive an expression for the induced emf in the inductor as a function of time. At t = 0, is the current through the inductor increasing or decreasing? At t = 0, is the induced emf opposing or aiding the flow of the charge carriers? (Remember that the direction of a positive induced emf is the same as the current direction and the direction of a negative induced emf is opposite the current direction.)

Answer 1