Magnetic Effects Of Current Question 214

Question: The relation between voltage sensitivity ( $ {\sigma_{V}} $ ) and current sensitivity $ ({\sigma_{i}}) $ of a moving coil galvanometer is (Resistance of Galvanometer = G) [CPMT 2001]

Options:

A) $ \frac{{\sigma_{i}}}{G}={\sigma_{V}} $

B) $ \frac{{\sigma_{{V}}}}{G}={\sigma{i}} $

C) $ \frac{G}{{\sigma_{V}}}={\sigma_{i}} $

D) $ \frac{G}{{\sigma_{i}}}={\sigma_{V}} $

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Answer:

Correct Answer: A

Solution:

$ {\sigma_{i}}=\frac{\theta }{i}=\frac{\theta }{iG}\cdot G={\sigma_{_{V}}}G $

Þ $ \frac{{\sigma_{i}}}{G}={\sigma_{V}} $