Potential due to a Point Charge and a Dipole

Correct answer: C. Negative twelve joule

Explanation: The electrostatic potential energy of a dipole in a uniform electric field is U = −pE cosθ. In the parallel, stable position, the dipole moment is along the field, so θ = 0° and cos0° = 1. Hence U = −(3)(4)(1) = −12 J. The positive value has the wrong sign, while zero belongs to the perpendicular position. Option C is correct.

Correct answer: A. Yes, because field is vector and potential is scalar

Explanation: Yes, this is possible because electric field and electric potential are different physical quantities. The field is related to the spatial rate of change of potential, E = -grad V, and is a vector; contributions can cancel in direction. Potential is a scalar and contributions add algebraically, so it may remain nonzero even where the net field is zero. Option A is correct. B falsely links their zeros, C misidentifies potential as a vector, and D is irrelevant.