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In a tangent galvanometer, when a curren...

In a tangent galvanometer, when a current of `10mA` is passed, the deflection is `31^@`. By what percentage, the current has to be increased, so at to produce a deflection of `42^@`?

Text Solution

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`Here, I_(1)=10mA, theta_(1)=31^(@),I_(2)=?, theta_(2)=42^(@)`
`As, (I_(2))/(I_(1))=(tan theta_(2))/(tan theta_(1))`
`I_(2)(I_(1))=(tan theta_(2))/(tan theta_(1))=10xx(tan 42^(@))/(tan 31^(@))`
`" " =(10xx0.9)/(0.6)=15mA`
Percentage increase in current,
`" " (I_(2)-I_(1))/(I_(1))xx100=(15-10)/(0)xx100=50%`
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