A moving coil galvanometer has a resistance of 50 Ω and a full scale deflection of 200 μA. What is t

Source: JAMB · 2023

A moving coil galvanometer has a resistance of 50 Ω and a full scale deflection of 200 μA. What is the shunt resistance required to convert the galvanometer into an ammeter that can measure a current of 10 A?

  1. 0.001 Ω ✓
  2. 0.500 Ω
  3. 0.025 Ω
  4. 0.010 Ω
Explanation

Step 1: Identify given values and what to find
Given: R_g = 50 Ω, I_g = 200 μA = 2 × 10⁻⁴ A, I = 10 A
Find: Shunt resistance S

Step 2: Write the shunt formula
Formula: S = (I_g × R_g)/(I – I_g)

Step 3: Substitute and calculate
S = (2 × 10⁻⁴ × 50)/(10 – 2 × 10⁻⁴)
S = (0.01)/(10) = 0.001 Ω

Step 4: The answer is 0.001 Ω

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