Question

A vertical rod of length l is moved with constant velocity v towards east, if vertical component of earth's magnetic field is B and angle og dip is $\theta$ then induced emf in rod is:

• A. Blv cot$\theta$
• B. Blv sin$\theta$
• C. Blv tan$\theta$
• D. Blv cos$\theta$

Answer 1

The correct option is A Blv cot$\theta$

B' Sin $\theta$ =B
B'=$\frac{B}{Sin\theta }$
So, $B_H=B^{\prime }cos\theta$
$=Bcot\theta$

So, $e=B_{H}lv$

=$Blvcot\theta$