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A moving coil ammeter requires a potential difference of \( 0.4 V \) across it for full scale deflection. It has fixed shunt resistance of 0.01 ohm with a coil circuit resistance of \( \boldsymbol{R}=\mathbf{1} \boldsymbol{k} \) ohm. The value of shunt required to give full scale deflection when the total current is \( 10 A \) is equal to

1. 0.02 ohm
2. 0.04 ohm
3. 0.05 ohm
4. 0.06 ohm

Correct answer: 0.02 ohm

Solution

The coil needs 0.4 V for full-scale deflection, so its current is set by its resistance. The remaining current out of the 10 A total must flow through the shunt, and since both branches share the same voltage, the shunt resistance follows from Ohm’s law.

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