First slide

Electrostatic potential

Question

The electric potential V at any point O (x, y, z all in metres) in space is given by $V = 4 x^{2} volt$ . The electric field at the point $(1 m, 0, 2 m)$ in volt/metre is

Moderate

A

8 along negative X-axis
B

8 along positive X-axis
C

16 along negative X-axis
D

16 along positive Z-axis

Solution

The electric potential $V (x, y, z) = 4 x^{2} volt$
Now $\overset{}{E} = (\hat{i} \frac{\partial V}{\partial x} + \hat{j} \frac{\partial V}{\partial y} + \hat{k} \frac{\partial V}{\partial z})$

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