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A charge +q is placed at the origin O of X-Y axes as shown in the figure. The work done in taking a charge Q from A to B along the straight line A B is

Options

  1. Aq Q 4 ₀ ( a-b a b )
  2. Bq Q 4 ₀ ( b-a a b )
  3. Cq Q 4 ₀ ( b a² - 1 b )
  4. Dq Q 4 ₀ ( a b² - 1 b )

Correct answer

A. q Q 4 ₀ ( a-b a b )

Step-by-step solution

We know that and V= Q 4 ₀ r aligned Hence, W &=q [ Q 4 ₀ b - Q 4 ₀ a ] &= Q q 4 ₀ [ a-b a b ] aligned

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