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Questions  

The displacement of a charge Q in the electric filed E=e1i+e2j+e3k is r=ai+bj  . The work done is

a
Qae1+be2
b
Q(ae1)2+be22
c
Qe1+e2a2+b2
d
Qe12+e22a+b

detailed solution

Correct option is A

By using W=QV = Q (E→.r→) ⇒W=Q(e1i∧+e2j∧+e3k∧).(ai∧+bj∧)=Q(e1a+e2b)∵i∧.i∧=j∧.j∧=k∧.k∧=1 &i∧.j∧=j∧.k∧=k∧.i∧=0

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