A galvanometer gives full scale deflection of 1 volt when acting like a voltmeter when connected in series with $2 k Ω$ 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.

Question

Infinity Learn · Accepted Answer

$$V=Ig$$ $$R+G1=Ig$$ $$2000+G$$  ⇒  $$Ig=12000$$ $$+$$ 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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