Magnetic Effects Of Current Question 458

Question: A micrometer has a resistance of $ 100\Omega $ and full scale range of $ 50\mu A $ . It can be used as a voltmeter or as a higher range ammeter provided a resistance is added to it. Pick the correct range and resistance combination

Options:

A) 50 V range with $ 10k\Omega $ resistance in series

B) 10 V range with $ 200k\Omega $ resistance in series

C) 10 mA range with $ 1\Omega $ resistance in parallel

D) 10 mA range with $ 0.1\Omega $ resistance in parallel

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Answer:

Correct Answer: B

Solution:

[b] $ i_{g}=i( \frac{SG}{S+G} ) $ or $ 50\times {{10}^{-6}}=i( \frac{S}{S+100} ) $ ……. (i) Also $ V=i_{g}( G+R_{0} ) $ or $ V=50\times {{10}^{-6}}(100+R_{0}) $ ?.. (ii) On simplifying above equations, we get $ V=10V $ , $ R_{0}=200\times {{10}^{-3}}\Omega $