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COMEDK2022PhysicsCurrent Electricity

A galvanometer having a resistance of 4 is shunted by a wire of resistance 2 . If the total current is 1.5 ~A , the current passing through shunt is

Options

  1. A1.25 ~A
  2. B1 ~A
  3. C0.75 ~A
  4. D0.5 ~A

Correct answer

B. 1 ~A

Step-by-step solution

Let G be the resistance of the galvanometer and S be the resistance of the shunt. Given G = 4 and S = 2 . The total current I = 1.5 ~A divides into the galvanometer current I_g and the shunt current I_s such that I = I_g + I_s . Since the galvanometer and shunt are in parallel, the potential difference across them is equal: I_g G = I_s S I_g (4) = I_s (2) I_g = 0.5 I_s Substituting this into the total current equation: 0.5 I_s + I_s = 1.5 1.5 I_s = 1.5 I_s = 1 ~A Answer: 1 ~A

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