Variation of potential with distance R from a fixed point is as shown below. electric field at R = 5

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2. Electric Potential and Capacitance

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The variation of potential with distance $R$ from a fixed point is as shown below. The electric field at $R = 5\,m$ is......$volt/m$

$2.5$

$ - 2.5$

$2/5$

$ - 2/5$

Solution

(a)Intensity at $5\,m$ is same as at any point between $B$ and $C$ because the slope of $BC$ is same throughout (i.e., electric field between $B$ and $C$ is uniform). Therefore electric field at $R = 5$ $m$ is equal to the slope of line $BC$ hence by $E = \frac{{ – dV}}{{dr}}$;
$E = – \frac{{(0 – 5)}}{{6 – 4}} = 2.5\,\frac{V}{m}$
At $R = 1\,m$, $E = – \frac{{(5 – 0)}}{{(2 – 0)}} = – 2.5\,\frac{V}{m}$
and at $R = 3\,m$ potential is constant so $E = 0$.

Standard 12

Physics

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(AIPMT-2013)

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The variation of potential with distance $R$ from a fixed point is as shown below. The electric field at $R = 5\,m$ is......$volt/m$

Solution

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