When a shunt of $4\,\Omega $ is attached to a galvanometer the deflection reduces to $\frac{1}{5} th$. If an additional shunt of $4\,\Omega $ is attached. What will be the deflection.
Diffcult
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Initial condition when shunt of $4\, \Omega$ is used

${\frac{I}{5} \times G=\frac{4}{5} I \times 4} $

${G=16\, \Omega}$

When additional shunt of $4\, \Omega$ used

${\rm{I'}} \times 16 = 2({\rm{I}} - {\rm{I'}})$

$16{\rm{I}} = 2{\rm{I}} - 2{\rm{I'}}$

$18{\rm{I'}} = 2{\rm{I}}$

${\rm{I'}} = \frac{{\rm{I}}}{9}$

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