Magnetism Question 129

Question: In a tangent galvanometer a current of 0.1 A produces a deflection of 30o. The current required to produce a deflection of 60o is

[MP PET 2003]

Options:

A) 0.2 A

B) 0.3 A

C) 0.4 A

D) 0.5 A

Show Answer

Answer:

Correct Answer: B

Solution:

$ i\propto \tan \varphi \Rightarrow \frac{i _{1}}{i _{2}}=\frac{\tan {\varphi _{1}}}{\tan {\varphi _{2}}} $
$ \Rightarrow \frac{0.1}{i _{2}}=\frac{\tan 30{}^\circ }{\tan 60{}^\circ }=\frac{1}{3}\Rightarrow i _{2}=0.3A $