AIPMT MAINS 2009 Physics Electric Potential MCQ Question with Solution

The electric potential at a point (x, y, z) is given by V = -x2y - xz3 + 4. The electric field at that point is:

A

E⃗ = î 2xy + ĵ (x²⁺ y2) + k̂ (3xz - y2)

B

E⃗ = î zx³⁺ ĵ xyz + k̂ z2

C

E⃗ = î (2xy - z3) + ĵ xuz + k̂ 3z2 x

D

E⃗ = î (2xy + z3) + ĵ x²⁺ k̂ 3xz2

Correct Answer

Option C

Detailed Explanation

The electric field is the negative gradient of the potential. Calculating the partial derivatives of V with respect to x, y, and z gives the components of the electric field.

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