Explanation

(b) A conducting rod of length$\ l$ whose one end is fixed, is rotated about the axis passing through its fixed end and perpendicular to its length with constant angular velocity$\ \omega$. Magnetic field $(B)$ is perpendicular to the plane of the paper.
Emf induced across the ends of the rod is $e = BAn$
[image:6_image72.emf]
$\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ = B\pi l^{2}n$
$\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ = \frac{Bl^{2}\pi}{T}$
$\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ = \frac{1}{2}Bl^{2}\omega$