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The work done by the charge Q through di...

The work done by the charge Q through displacement `Delta vecr = a hati +b hatj` in electric field `vecE= E_(1)hati +E_(2) hatj` is ............

A

`Q [E_(1)a +E_(2)b]`

B

`Q[sqrt((E_(1)a)^(2)+(E_(2)b)^(2))]`

C

`(Q(E_(1)+E_(2)))/(sqrt(a^(2)+b^(2)))`

D

`Q(sqrt(E_(1)^(2)+E_(2)^(2)))sqrt(a^(2)+b^(2))`

Text Solution

Verified by Experts

The correct Answer is:
A, B
`W = vecF . Delta vecr = Q vecE.Delta vecr`
`=Q (E_(1) hat+E_(2)hatj). (ahati+b hatj)`
`:. W = Q ( E_(1) a +E_(2)b)`
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