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Moving Charges and Magnetism question

2011 · Q81
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Moving Charges and Magnetism question

2011 · Q81

NEETPhysicsMoving Charges and MagnetismMCQ+4 / −1
A galvanometer of resistance, G, is shunted by a resistance S ohm. To keep the main current in the circuit unchanged, the resistance to be put in series with the galvanometer is
  1. A
    G(S+G){G \over {(S + G)}}(S+G)G​
  2. B
    S2(S+G){{{S^2}} \over {\left( {S + G} \right)}}(S+G)S2​
  3. C
    (SGS+G)\left( {{{SG} \over {S + G}}} \right)(S+GSG​)
  4. D
    G2(S+G){{{G^2}} \over {(S + G)}}(S+G)G2​
View written solutionFree

Correct answer: D

AIPMT 2011 Mains Physics - Moving Charges and Magnetism Question 56 English Explanation

To keep the main current in the circuit unchanged, the resistance of the galvanometer should be equal to the net resistance.

∴\therefore∴ G=(GSG+S)+S′G = \left( {{{GS} \over {G + S}}} \right) + S'G=(G+SGS​)+S′

⇒G−GSG+S=S′ \Rightarrow G - {{GS} \over {G + S}} = S'⇒G−G+SGS​=S′

∴S′=G2G+S \therefore S' = {{{G^2}} \over {G + S}}∴S′=G+SG2​

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