Electric potential at any point is $V = -5x + 3y + \sqrt{1 …

Physics Electrostatics Potential & Capacitance Electric Field and Potential,Defference,Energy and Dipole Single Correct MCQ

Published by: CGP EDU Academic Team

Published on: September 12, 2026

Electric potential at any point is $V = -5x + 3y + \sqrt{1 5z}$ , then the magnitude of the electric field is

$3\sqrt{5}$

$4 \sqrt{5}$

$5 \sqrt{2}$

Text Solution

Verified by Experts

The correct answer is:

$E_x = -\frac{dV}{dx} = -(-5) = 5;$

$E_{y} = -\frac{dV}{dy} = -3$

and $E_z = -\frac{dV}{dz} = -\sqrt{15}$

$E_{net} = \sqrt{E_x^2 + E_y^2 + E_z^2} = \sqrt{(5)^2 + (-3)^2 + \left(-\sqrt{15}\right)^2} = 7$

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