The potential function of an electrostatic field is given by V = … - Vidyadip

MCQ

The potential function of an electrostatic field is given by $V = 2x^2$. Determine the electric field strength at the point $(2\,m, 0, 3\,m)$

A
$\vec E = 4\hat i\left( {N{C^{ - 1}}} \right)$
B
$\vec E = - 4\hat i\left( {N{C^{ - 1}}} \right)$
C
$\vec E = 8\hat i\left( {N{C^{ - 1}}} \right)$
✓
$\vec E = - 8\hat i\left( {N{C^{ - 1}}} \right)$

✓

Answer

Correct option: D.

$\vec E = - 8\hat i\left( {N{C^{ - 1}}} \right)$

d
$\mathrm{E}=-\frac{\mathrm{dV}}{\mathrm{dx}}=-(4 \mathrm{x}) \hat{\mathrm{i}}$

$\mathrm{E}=-4(2)=-8 \hat{\mathrm{i}}$

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