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COMEDK2023Morning ShiftPhysicsCurrent ElectricityActual

A galvanometer having a resistance of 8 is shunted by a wire of resistance 2 . If the total current is 1 ~A , the part of it passing through the shunt will be

Options

  1. A0.5 A
  2. B0.25 A
  3. C0.2 A
  4. D0.8 A

Correct answer

D. 0.8 A

Step-by-step solution

Let G be the resistance of the galvanometer and S be the resistance of the shunt. Given G = 8 and S = 2 . The total current I = 1 A divides into current through the galvanometer I_g and current through the shunt I_s . The current through the shunt I_s is given by the current divider rule: I_s = I G G + S Substituting the given values: I_s = 1 8 8 + 2 I_s = 8 10 = 0.8 A Answer: 0.8 A

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