If the electric potential at any point (x, y, z) m in space is given by V = 3x2 volt. The electric field at the point (1, 0, 3) m will be: (a) 3 Vm ⁻¹, directed along positive x-axis. (b) 3 Vm ⁻¹, directed along negative x-axis. (c) 6 Vm ⁻¹, directed along positive x-axis. (d) 6 Vm ⁻¹, directed along negative x-axis.

Answer: (d). Ex = -dV/dx = -6x At x = 1 m: Ex = -6 V/m So the answer is (d) 6 V m ⁻¹ along negative x-axis.

If the electric potential at any point (x, y, z) m in space is given… | JEE Main 2022 (29 Jun, Shift 2)

Q71JEE Main 2022 · 29 JUN · SHIFT 2Easy

Electric Potential & Equipotentials

If the electric potential at any point (x, y, z) m in space is given by V = 3x2 volt. The electric field at the point (1, 0, 3) m will be:

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Answer: (d)