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Question

A uniform electric field of $$10 NC^{-1}$$ exists in the vertically downward direction. Find the increase in the electric potential as one goes up through a height of $$50$$ cm.

Solution
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The electric field in the region is $$E=10 N/c$$
The distance covered by the particle is $$ S=50cm=0.5m$$

The relation between the electric potential and the electric field is :

$$E=\dfrac{dV}{dr}$$
or, $$V=E\times r$$

$$=10\times 0.5=5\ V$$.

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