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MHT CET202520 Apr 2025Evening ShiftPhysicsCurrent ElectricityActual

Only 4 % of the total current in the circuit passes through a galvanometer. If the resistance of the galvanometer is G , then the shunt resistance connected to the galvanometer is

Options

  1. AG 25
  2. BG 24
  3. C24 G
  4. D25 G

Correct answer

B. G 24

Step-by-step solution

The galvanometer current I_g is 4 % of the total current I , so I_g = 0.04I . The remaining current I_s = I - I_g = 0.96I flows through the shunt resistance. Since the galvanometer and shunt are in parallel, they share the same potential difference: I_g G = I_s S Substituting the current expressions: 0.04I G = 0.96I S Eliminating the common factor I and simplifying: S = 0.04G 0.96 = G 24 The shunt resistance required is G 24 , corresponding to option B .

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