A point charge is moved from to in a uniform electric field of directed along positive -axis. If coordinates of and are (1, 2, 0) m and (0,0,0) m respectively, the work done by electric field will be [2023]

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Solution

Q.
A point charge $2 \times 10^{- 2} C$ is moved from $P$ to $S$ in a uniform electric field of $30 N C^{- 1}$ directed along positive $x$ -axis. If coordinates of $P$ and $S$ are (1, 2, 0) m and (0,0,0) m respectively, the work done by electric field will be [2023]

1 1200 mJ

2 600 mJ

3 − 600 mJ

4 − 1200 mJ

Ans.
(3)

$W_{E} = q \vec{E} \cdot \vec{S}$

$= 2 \times 10^{- 2} [30 \hat{i} \cdot (- \hat{i})]$

$= 2 \times 10^{- 2} (- 30) = - 60 \times 10^{- 2}$

$= - \frac{60}{100} = - 0.6 J = - 600 mJ$

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