Question

A rod of length 20 cm is rotating with angular speed of 100 rps in a magnetic field of strength 0.5 T about it's one end. What is the potential difference between two ends of the rod

• A. 2.28 V
• B. 4.28 V
• C. 6.28 V
• D. 2.5 V

Answer 1

The correct option is C 6.28 V

Given:

$l=20cmn=100rpmB=.5T$

$e=\frac{1}{2}B{l}^2\omega =B{l}^2\pi v$

$\Rightarrow e=0.5(20\times {10}^{-2}{)}^2\times 3.14\times 100=6.28V$