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Potential Gradient and Relation between Electric Field and Potential

A uniform ele...

Question

A uniform electric field 'E' is directed towards positive X-axis. If at X=0, the electric potential is zero, then the potential at $X = + X_{0},$ would be

A

\frac{E}{X_{0}}

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B

\frac{- E}{X_{0}}

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C

- E X_{0}

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D

E X_{0}

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Solution

The correct option is A $\frac{E}{X_{0}}$
We know that electric potential $V = \frac{d E}{d x}$
Since $X = x + x_{0}$ so,
$V = \frac{E}{x_{0}}$

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