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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 `1.11xx10^(-10)C` distributed non-uniformly on its circumference producing an electric field E evergy where in space. The value of the integral `int_(t=oo)^(i=0)-vec(E).vec(d)l` (`l=0` being centre of the ring) in volt is:

A

`+2`

B

`-1`

C

`-2`

D

zero

Text Solution

Verified by Experts

The correct Answer is:
A
`-underset(oo)overset(t=0)(int) vec(E).vec(dl)` is the potential at the centre of the ring which is
`V=int dV=int (Kdq)/0.5=(Kq)/0.5`
`V=(9xx10^(9)xx1.11xx10^(-10)xx2)/(1)=2` volt
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