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  4. A shunt of resistance 1 Ω is connected across a galvanometer of 120 Ω resistance. A current of 5.5 ampere gives full scale deflection in the galvanometer. The current that will give full scale deflection in the absence of the shunt is nearly :

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Q. A shunt of resistance $1 \, \Omega$ is connected across a galvanometer of $120\, \Omega$ resistance. A current of $5.5$ ampere gives full scale deflection in the galvanometer. The current that will give full scale deflection in the absence of the shunt is nearly :

JEE MainJEE Main 2013Moving Charges and Magnetism

Solution:

The current that will given full scale deflection in the absence of the shunt is nearly equal to the current through the galvanometer when shunt is connected i.e. $I_g$
As $I_{g} = \frac{IS}{G+S}$
$= \frac{5.5\times1}{120+1} = 0.045$ ampere.