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A uniform electric field exists in x-y p...

A uniform electric field exists in `x-y` plane. The potential of points `A (-2m, 2m), B(-2m, 2m)` and `C(2m, 4m)` are `4V, 16 V` and 1`2 V` respectively. The electric field is

A

`(4hati + 5hatj) (V)/(m)`

B

`(3hati + 4hatj) (V)/(m)`

C

`-(3hati + 4hatj) (V)/(m)`

D

`(3hati + 4hatj) (V)/(m)`

Text Solution

Verified by Experts

The correct Answer is:
D

`vecE_(x) = (16 - 4)/(2)hati = 3 hati`
`vecE_(y) = - (12 - 4)/(2) hatj = - 4 hatj`
`vecE = (3 hati - 4 hatj) Vm^(-1)`
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