Chapter 6.5, Problem 44E

To determine

Tofind:The phase relationship between the signals.

Answer to Problem 44E

The phase relationship between the signalsis $\frac{\pi }{4}$ .

Explanation of Solution

Given information:The voltage is $y=2\cos 2x$ and the current is $y=\cos \left(2x-\frac{\pi }{2}\right)$ .

Calculation:

Consider the voltage.

  $y=2\cos 2x$

Consider the current.

  $y=\cos \left(2x-\frac{\pi }{2}\right)$

The voltage is zero for $x=\frac{\pi }{4}$ and the current is zero for $x=0$ .

Thus, the phase relation between the signals is $\frac{\pi }{4}$ .