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Q.

A galvanometer gives full scale deflection of 1 volt when acting like a voltmeter when connected in series with 2k Ω resistance. The same galvanomeler gives 500 mA, fuIl scale deflection when acting like an ammeter when connected with shunt resistance of value 0.2 Ω in parallel.Find out the resistance of galvanometer.

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a

108  Ω

b

222  Ω

c

250  Ω

d

1.5 kΩ

answer is B.

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Detailed Solution

V=Ig R+G1=Ig 2000+G  ⇒  Ig=12000 + G                          ...1IgG =  0.5−Ig ×  0.2IgG = 0.1  −0.2 IgIgG+0.2 = 0.1                                      ....2 From (1) and (2),12000 +G  G+0.2  = 0.1G+0.2=200+0.1   G0.9  G  =199.8G= 199.8/0.9   Ω  =   222   Ω
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