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Question

Physics Question on Moving charges and magnetism

A galvanometer of resistance, GG , is shunted by a resistance SS ohm. To keep the main current in the circuit unchanged, the resistance to be put in series with the galvanometer is

A

G(S+G)\frac{G}{(S+G)}

B

S2(S+G)\frac{S^2}{(S+G)}

C

SG(S+G)\frac{SG}{(S+G)}

D

G2(S+G)\frac{G^2}{(S+G)}

Answer

G2(S+G)\frac{G^2}{(S+G)}

Explanation

Solution

Current will be unchanged if resistance remains same so
G=GSG+S+RG =\frac{ GS }{ G + S }+ R
⇒R=G−GSG+S\Rightarrow R = G -\frac{ GS }{ G + S }
=G2G+S=\frac{ G ^{2}}{ G + S }