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If unifrom electric filed vecE = E(0)hat...

If unifrom electric filed `vecE = E_(0)hati + 2E_(0) hatj`, where `E_(0)` is a constant, exists in a region of space and at `(0, 0)` the electric potential `V` is zero, then the potential at `(x_(0),0)` will be.

A

zero

B

`-E_(0)x_(0)`

C

`-2 E_(0) x_(0)`

D

`-sqrt(5) E_(0)x_(0)`

Text Solution

Verified by Experts

The correct Answer is:
B
`A = (0, 0), B = (x_(0), 0)`
`= underset(A)overset(B)int vecE. vecdr = V_(A) - V_(B) = 0 - V_(B)`
`E_(0)x_(0) = - V_(B)`
`V_(B) = - E_(0)x_(0)`
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