Current Electricity Charging Discharging Of Capacitors Question 185

Question: 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

[AIEEE 2005]

Options:

A) 99995

B) 9995

C) $ 10^{3} $

D) $ 10^{5} $

Show Answer

Answer:

Correct Answer: B

Solution:

Voltage sensitivity $ =\frac{\text{Current sensitivity}}{\text{Resistance of galvanometer},\text{G}} $

Therefore $ G=\frac{10}{2}=5,\Omega $ . Here $ i _{g}= $ Full scale deflection current $ =\frac{150}{10}=15,mA $ . V = Voltage to be measured = 150 ยด 1 = 150 V. Hence $ R=\frac{V}{i _{g}}-G=\frac{150}{15\times {{10}^{-3}}}-5=9995,\Omega $ .



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