Potential function of an electrostatic field is given by V = 2x^2 . Determine electric field strengt

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2. Electric Potential and Capacitance

easy

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

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

D

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

Solution

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

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

Standard 12

Physics

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