Q. Two tangent galvanometer having coils of the same radius are connected in series. A current flowing in them produces of $60{^\circ}$and 45${^\circ}$ respectively. The ratio of the number of turns in the coil is
A) 4/3
B) $(\sqrt{3} + 1)$/1
C) $\frac{\sqrt{3} + 1}{\sqrt{3} - 1}$
D) $\frac{\sqrt{3}}{1}$
Explanation
(d) In series, same current flows through two tangent galvanometer.
$i = \frac{2r\ H}{\mu_{0}n_{1}}\tan\theta_{1} = \frac{2r\ H}{\mu_{0}n_{2}}\tan\theta_{2}$
$\therefore\frac{n_{1}}{n_{2}} = \frac{\tan\theta_{1}}{\tan\theta_{2}} = \frac{tan60{^\circ}}{tan45{^\circ}} = \sqrt{3}$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.