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Helical Motion

A point charg...

Question

A point charge q moves from ‘P’ to ‘S’ along path PQRS in a uniform electric field E directied parallel to positive X-axis. The co-ordinates of the points P.Q.R and S are (a, b, 0), (2a, 0, 0), (0, –b, 0) and (0, 0, 0) respectively. The work done by field in the above process is given by

A

q E a

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B

- q E a

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C

q E a \sqrt{2}

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D

q E \sqrt{(2 a)^{2} + b^{2}}

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Solution

The correct option is B $- q E a$
$W = \to F . \to S \to S = - a^i - b^j$
$W = (q E^i) . (- a^i - b^j) \to F = q \to E$
$W = - a q E$

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