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Question

# When a galvanometer is shunted with a 4Ω resistance, the deflection is reduced to one - fifth. If the galvanometer is further shunted with a 2Ω wire, determine current in galvanometer now if initially current in galvanometer is I0 (given main current remain same).

A
I0/13
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B
I0/5
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C
I0/8
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D
5I0/13
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Solution

## The correct option is A I0/13Given: When a galvanometer is shunted with a 4Ω resistance, the deflection is reduced to one - fifth. Also initially current in galvanometer is I0To find the current in galvanometer if the galvanometer is further shunted with a 2Ω wireSolution:When shunted with resistance of 4Ω, we getI05×Rg=4I05×4, as given initial current is I0 andRg is shunt resistance⟹Rg=16ΩWhen further shunted with 2Ω resistance, we getI′×16=(I0−I′)×43, where I′ is the required current after further shunting⟹12I′=I0−I′⟹I′=I13is the required current.

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