In a certain region of space, variation of potential with distance from origin as we move along x -a

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2. Electric Potential and Capacitance

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In a certain region of space, variation of potential with distance from origin as we move along $x$-axis is given by $V=8 x^2+2$, where $x$ is the $x$-coordinate of a point in space. The magnitude of electric field at a point $(-4,0)$ is .......... $V / m$

A

$-16$

B

$16$

C

$-64$

D

$64$

Solution

(d)

$V=8 x^2+2$

$E_x=\frac{-d V}{d x}=-16 x$

$x=-4$

$E_x=64 \,V / m$

Standard 12

Physics

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