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It is desried to pass only 5% the curren...

It is desried to pass only 5% the current through a galvanometer of resitance 95 ohm. What shunt resistance should be connected across it?

Text Solution

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Resistance of the galvanometer ` = G = 95 Omega`
Suppose I = Total current flowing through the circuit
`I_(G) = 5%` of total current
`I_(G) = (5)/(100) xx I = (I)/(20)`
Shunt ` = S = ?`
`S = (I_(G))/(I-I_(G))G`
`S = (I//20)/(I-I//20) xx 95`
` = (I//20)/((20I-I)/(20)) xx 95`
` = (I)/(20) xx (20)/(19I) xx 95`
`S = 5Omega`
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