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Current Electricity

Question
CBSEENPH12039777

A non -conducting ring of radius 0.5m carries a total charge of 1.11 x 10-10 C distributed non-uniformly on its circumference producing on its circumference on the electric field. E everywhere is space.

The value of the line integral l = l = 0 (-E.dl) (l = 0 being centre of ring) in volts is

  • +2

  • -1

  • -2

  • zero

Solution

A.

+2

From the definition of potential difference l=0l=0 E.dl = potential difference at infinity and at centre of ring = Vcentre -Vinfinity

But by convention Vinfinity = 0 and Vcentre14πε0qR

= 9 x 109 x 1.11 x 10-100.5 = 2 volt l = l = 0 (E.dl) = 2 volt = o volt = 2 volt