Question
How do you calculate the shunt required to increase the range p times?

Answer

The value of shunt resistance required to convert a galvanometer into an ammeter is given by,
$
S =\left(\frac{I_{ g }}{I-I_{ g }}\right) G
$
If the current I is $p$ times the current $I _{ g }$ then $I = pl _{ g }$. Using this in the above expression, we get,
$
S =\frac{G I_{ g }}{p I_{ g }-I_{ g }} \text { OR } S =\frac{G}{p-1}
$
This is the required shunt resistance to increase the range $p$ times.

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