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Question: A moving coil galvanometer has 150 equal divisions. Its current sensitivity is 10-divisions per mill...

A moving coil galvanometer has 150 equal divisions. Its current sensitivity is 10-divisions per milliampere and voltage sensitivity is 2 divisions per millivolt. In order that each division reads 1 volt, the resistance in ohms needed to be connected in series with the coil will be –

A

105

B

103

C

9995

D

99995

Answer

9995

Explanation

Solution

Ig = 15 mA, Vg = 75 mV

\ Rg = VgIg\frac{V_{g}}{I_{g}} = 5 W Required range of voltmeter = 150 volt

\ required series resistance R=VIg\frac{V}{I_{g}}–Rg = 15015×103\frac{150}{15 \times 10^{- 3}} – 5

= 10,000 – 5 = 9995W