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COMEDK2025PhysicsCurrent ElectricityActual

A galvanometer having a resistance of 50 is shunted by a wire of resistance 10 . If the total current is 2 A , the current passing through the shunt is:

Options

  1. A5 3 ~A
  2. B3 5 ~A
  3. C5 6 ~A
  4. D2 5 ~A

Correct answer

A. 5 3 ~A

Step-by-step solution

Let G be the resistance of the galvanometer and S be the resistance of the shunt wire. Given G = 50 and S = 10 . The total current I = 2 A . The current I_S passing through the shunt is given by the current divider rule: I_S = I G G + S Substituting the given values: I_S = 2 50 50 + 10 I_S = 2 50 60 I_S = 2 5 6 I_S = 5 3 A Answer: 5 3 ~A

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