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Question

The displacement of a charge Q in the electric field E=e1^i+e2^j+e3^k is ^r=a^i+b^j. The work done is

A
Q(ae1+be2)
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B
Q(ae1)2+(be2)2
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C
Q(e1+e2)a2+b2
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D
Q(e21+e22)(a+b)
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Solution

The correct option is A Q(ae1+be2)
By using W=Q(E.Δr)
W=Q[(e1^i+e2^j+e3^k).(a^i+b^j)]=Q(e1a+e2b)

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