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A ring of charge with radius 0.5 m has 0.002 π m gap. If the ring carries a charge of +1 C, the electric field at the centre is

Options

  1. A7.5 × 10 7 N C - 1
  2. B7.2 × 10 7 N C - 1
  3. C6.2 × 10 7 N C - 1
  4. D6.5 × 10 7 N C - 1

Correct answer

B. 7.2 × 10 7 N C - 1

Step-by-step solution

Approaximate charge on the element opposite to the gap is Δ q = Q 2 π r 0.002 π = 1 2 π 0.5 × 2 π 1000 = 2 × 10 - 3 C E = 9 × 10 9 × 2 × 10 - 3 0.5 2 = 7.2 × 10 7 N C - 1

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