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STANDARDPhysics-Electrostatics

STANDARD Physics Electric Potential and Field MCQ Question

Type: MCQ-numerical-Medium

The electric potential at a point in free space due to a charge Q coulomb is Q × 10¹¹ volts. The electric field at that point is

A

12 π ε₀ Q × 10²² V m⁻¹

B

4 π ε₀ Q × 10²² V m⁻¹

C

12 π ε₀ Q × 10²⁰ V m⁻¹

D

4 π ε₀ Q × 10²⁰ V m⁻¹

Correct Answer

Option B

Detailed Explanation

The electric field E is related to the potential V by E = -dV/dr. Given the potential, the electric field can be calculated using the relation E = V/r, where r is the distance from the charge. Substituting the given values, the correct option is B.

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