First slide

Electrostatic Potential

Question

Electric potential at a point in a region of space is given by $V = 3 x^{2}$ volt, where x is in metre. Then electric field at x = 1m is

Moderate

A

$- 6 \hat{i} \frac{V}{m}$
B

$- 3 \hat{i} \frac{V}{m}$
C

$3 \hat{i} \frac{V}{m}$
D

$1.5 \hat{i} \frac{V}{m}$

Solution

$\vec{E} = - \frac{d V}{d x} \hat{i} = - 6 x \hat{i} \frac{V}{m}$
At $x = 1 m, \vec{E} = - 6 \hat{i} \frac{V}{m}$

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