Chapter 9, Problem 84CP

In this chapter, most examples and problems involved direct current (DC). DC circuits have the current flowing in one direction, from positive to negative. When the current was changing, it was changed linearly from $I=-I_{\max }toI=+I_{\max }$ and the voltage changed linearly from $V=-V_{\max }$ to $V=+V_{\max }$ where $V_{\max }=I_{\max }R$ .Suppose a voltage source is placed in series with a resistor of R = 10 $\Omega$ that supplied a current that alternated as a sine wave, for example, $I(t)=(3.00\text{A})\text{}\sin \left(\frac{2\pi }{4.00s}t\right)$ . (a) What would a graph of the voltage drop across the resistor V(t) versus time look like? (b) What would a plot of V(t) versus I(t) for one period look like? (Hint: If you are not sure, try plotting V(t) versus I(t) using a spreadsheet.)