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Question

There is an electric field $$E$$ in $$+x$$ direction. If work done by electric field in moving a charge $$0.2C$$ through a distance of $$2m$$ along a line making an angle of $$60$$ degree with x-axis is $$1.0J$$, what is the value of $$E$$ in $$N/C$$?

A
$$5$$
Solution
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Correct option is A. $$5$$
Given:
$$q=.2C\\d=2m\\ \theta=60^\circ\\E=1J$$
$$W=F\cdot dx=qE\times s\cos { \theta }$$
$$ \Rightarrow 1=0.2E\times 2\cos { { 60 }^{ o } } $$
$$\Rightarrow E=5N{ C }^{ -1 }$$

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