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