Question

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. zero

Answer 1

Correct Answer - 1
`V=(q)/(4piepsilon_(0))[(1)/(x_(0))-(1)/(2x_(0))+(1)/(3x_(0))+(1)/(4x_(0))+......]`
`=(q)/(4piepsilon_(0)x_(0))[1-(1)/(2)+(1)/(3)+(1)/(4)+.....]`
`=(q)/(4piepsilon_(0)x_(0))log(2)`