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JEE Main202429 Jan 2024Morning ShiftPhysicsCurrent ElectricityActual

A galvanometer having coil resistance 10 Ω shows a full scale deflection for a current of 3 mA . For it to measure a current of 8 A , the value of the shunt should be:

Options

  1. A3 × 10 - 3 Ω
  2. B4 . 85 × 10 - 3 Ω
  3. C3 . 75 × 10 - 3 Ω
  4. D2 . 75 × 10 - 3 Ω

Correct answer

C. 3 . 75 × 10 - 3 Ω

Step-by-step solution

Given G = 10 Ω , I g = 3 mA and I = 8 A . Let's consider the following figure: From the figure, we have I g G = I - I g S ⇒ S = I g G I - I g ⇒ S = 3 × 10 - 3 10 8 - 0 . 003 = 3 . 75 × 10 - 3 Ω

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