First, let us consider a resistor with resistance R connected to an AC source (d

Question

First, let us consider a resistor with resistance R connected to an AC source (diagram 1). If the AC source provides a voltage VR(t) V cos(wt), what is the current IR(t) through the resistor as a function of time? Express your answer in terms of V), R, u, and t. Voltage and Current in AC Circuits Learning Goal Hints To understand the relationship between AC voltage and current in resistors, inductors, and capacitors, especially the phase shift between the voltage and the current. In this nroblem. we consider the hehavior of resistors Figure 1 of 1 In(t) = Submit My Answers Give Up Part B Now consider an inductor with inductance L in an AC circuit (diagram 2). Assuming that the current in the inductor varies as IL(t) Io cos(wt), find the voltage VL(t) that must be driving the inductor I(t) I(t) I(t) Express your answer in terms of 10, L, a, and t. Use the cosine function, not the sine function, in your answer Hints Vi(t)-

Explanation / Answer

A)

using ohm's law

iR(t) = VR(t)/R = (Vo/R) Coswt

B)

VL(t) = - L (diL(t)/dt)

VL(t) = - L Io w (- Sinwt)

VL(t) =  L Io w Sinwt

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