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Statement-I : The electric potential and the electric field intensity at the centre of a square having four point charges at their vertices (as shown) are zero. Statement-II : Electric field is negative derivative of the potential.

Options

  1. AStatement-I is True, Statement-II is True; Statement-II is a correct explanation for Statement-I
  2. BStatement-I is True, Statement-II is True; Statement-II is NOT a correct explanation for Statement-1
  3. CStatement-I is True, Statement-II is False
  4. DStatement-I is False, Statement-II is True.

Correct answer

D. Statement-I is False, Statement-II is True.

Step-by-step solution

- Statement-I: The electric potential and the electric field intensity at the center of a square having four point charges (+q,-q,-q,+q ) at their vertices are not zero. Although the electric field at the center due to the symmetry of opposite charges might cancel out, the potential at the center is not zero. The potential is a scalar quantity and doesn't cancel like vectors (it adds algebraically), so the total potential is not zero. - Statement-II: The electric field is indeed the negative derivative of the elect

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