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In figure AB is a potentiometer wire of ...

In figure AB is a potentiometer wire of length 10 m and resistance ` 1Omega`. The balancing length for 2V potential drop is 18 m. The e.m.f. of the battery E is

A

12.5V

B

22.5V

C

27.5V

D

15.5V

Text Solution

Verified by Experts

The correct Answer is:
C
`E_(1)=Irho l_(1)`
`:.I=(E_(1))/(rho l_(1))=(2)/((1//10)xx8)=(2xx10)/(8)=2.5 A`
Now, `I=(2xx10)/(8)`
`:.E=I(R+r+R_(h))`
`=2.5(10+1+0)=27.5V`
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