A point charge 2 × 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 respective

Question

A point charge 2 × 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

TestHub · Accepted Answer

As electric field is uniform, so force acting on the charged particle will be uniform.

Therefore,

$W_{E} = \vec{F} \cdot \vec{s} = q \vec{E} \cdot \vec{s}$

$= (2 \times 10^{- 2}) [30 \hat{i} \cdot [(0 \hat{i} + 0 \hat{j} + 0 \hat{k}) - (\hat{i} + 2 \hat{j} + 0 \hat{k})]]$

$= - 60 \times 10^{- 2} J$

$= - 600 mJ$

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