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A galvanometer of resistance 20 Ω gives full scale deflection with a current of 0.004 A. To convert it into an ammeter of range 1 A, the required shunt resistance should be

1. 0.38Ω
2. 0.21Ω
3. 0.08Ω
4. 0.05Ω

Correct answer: 0.08Ω

Solution

To convert the galvanometer into an ammeter, a shunt resistance is connected in parallel. Using the formula for shunt resistance, Rs = (Ig * G) / (I - Ig), where Ig = 0.004 A, G = 20 Ω, and I = 1 A, we calculate Rs = (0.004 * 20) / (1 - 0.004) ≈ 0.08 Ω.

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