JEE MAIN - Physics (2022 - 29th June Evening Shift - No. 16)

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 :

3 Vm^$$-$$1, directed along positive x-axis.

3 Vm^$$-$$1, directed along negative x-axis.

6 Vm^$$-$$1, directed along positive x-axis.

6 Vm^$$-$$1, directed along negative x-axis.

$$\overrightarrow E = -{{dV} \over {dx}}\widehat i$$

$$\overrightarrow E = - 6x\widehat i$$

So, $$\overrightarrow E $$ at (1, 0, 3) is

$$\overrightarrow E = - 6\widehat i$$ V/m