Chapter 6, Problem 93RE

a.

To determine

To find: Maximum value of E.

Answer to Problem 93RE

Maximum value of E is $120$ .

Explanation of Solution

Given information:

The formula of Electromotive force E

  $E\left(t\right)=120\sin \left(120\pi t\right)$

As we know, the maximum value $\sin \theta$ can attain is $1$ .

$\sin \theta$ is 1 at $\sin \frac{n\pi }{2}$ , where n is any odd integer.

So, putting value of $\sin \left(120\pi t\right)$ as $1$ .

So, the value of t could be $\frac{1}{240},\frac{1}{80}\mathrm{.....}$

  $\begin{array}{l}E\left(t\right)=120\sin \left(120\pi t\right)\\ E\left(t\right)=120\cdot 1\\ E\left(t\right)=120\end{array}$

Maximum value of E is $120$ .