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?
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
Was this explanation helpful?