A non-conducting ring of radius 0.5 m carries a total charge of 1.11 10⁻¹⁰ C distributed non-uniformly on its circumference producing on its circumference on electric field E , everywhere in space. The value of the line integral _ l= ^ l=0 (- E d l )(l=0 being centre of ring) in volts is

Step-by-step solution

From definition of potential difference _ l= ^ l=0 E d l = potential difference at infinity and at centre of ring =V_ centre -V_ infinity But by convention V_ infinity =0 and V_ centre = 1 4 ₀ q R =9 10^9 1 11 10⁻¹⁰ 0.5 =2 volt _ l= ^ l=0 (- E d l )=2 volt -0 volt =2 volt