Chapter 28, Problem 44P

(a)

To determine

To proof that the potential difference between the ends of the rod is $E=\frac{1}{2}B\omega {\mathcal{l}}^2$ .

(b)

To determine

To proof that the area of the pie shaped region is $A=\frac{1}{2}{\mathcal{l}}^2\theta$ .

(d)

To determine

The proof of the emf $\left|\epsilon \right|=\frac{1}{2}B\omega {\mathcal{l}}^2$ .