A shunt of resistance $1 ~\Omega$ is connected across a galvanometer of $120 ~\Omega$ resistance. A current…

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 :
  1. $5.5$ ampere
  2. $0.5$ ampere
  3. $0.004$ ampere
  4. $0.045$ ampere

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. $\mathrm{I}_{\mathrm{g}}$ As $I_g=\frac{I S}{G+S}$ $=\frac{5.5 \times 1}{120+1}=0.045$ ampere

Asked in: JEE Main 2013 (09 Apr Online)

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