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Tangent galvanometer shows a deflection ...

Tangent galvanometer shows a deflection of `45^@` for some current. When the current is reduced to `1//sqrt(3)` times the original , what is the deflection ?

A

increases by `15^@`

B

decreases by `15^@`

C

increases by `30^@`

D

decreases by `30^@`

Text Solution

Verified by Experts

The correct Answer is:
B
`theta _1=45^@,I_2=(I)/(sqrt(3))I_1,theta_2=?`
For tangent galvanometer ,
`I prop tan theta`
`therefore (tan theta_2)/(tantheta_1)=(I_2)/(I_1)`
`tan theta_2=(I_1)/(sqrt(3)I_1)tan theta_1`
`tan theta_2=(1)/(sqrt(3)) tan45 =(1)/(sqrt(3))`
`theta_2=30^@`
Thus , `theta_1-theta_2=45-30=15^@`
Thus , decrease by `15^@` .
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