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A non-conducting ring of radius 0.5 m ca...

A non-conducting ring of radius `0.5 m` carries a total charge of `1.11xx10^(-10)`C distributed non-uniformly on its circumference producing an electric field E everywhere is space. The value of the integral `int_(l=oo)^(l=0)-E.dI (l=0` being centre of the ring) in volt is

A

`+2`

B

`-1`

C

`-2`

D

`0`

Text Solution

Verified by Experts

The correct Answer is:
1
`int_(l = oo)^(l = 0) - vec(E ) . D vec(l) = V_(l = 0) - V_(l = oo) = (1)/(4 pi in_(0)) (Q)/(R ) - 0`
`= (9 xx 10^(9) xx 1.11 xx 10^(-11))/(0.5) = 2 V`
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