A moving coil galvanometer allows a full scale current

Question:

A moving coil galvanometer allows a full scale current of $10^{-4} \mathrm{~A}$. A series resistance of $2 \mathrm{M} \Omega$ is required to convert the above galvanometer into a voltmeter of range $0-5 \mathrm{~V}$. Therefore the value of shunt resistance required to convert the above galvanometer into an ammeter of range $0-10 \mathrm{~mA}$ is:

  1. (1) $500 \Omega$

  2. (2) $100 \Omega$

  3. (3) $200 \Omega$

  4. (4) $-195 \times 10^{4} \Omega$


Correct Option: , 4

Solution:

(4) $\quad \mathrm{v}=\mathrm{i}_{\mathrm{g}}(\mathrm{R}+\mathrm{G})$

$\Rightarrow 5=10^{-4}\left(2 \times 10^{6}+\mathrm{x}\right)$

$\mathrm{x}=-195 \times 10^{4} \Omega$

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