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Find the potential V of an electrostatic...

Find the potential `V` of an electrostatic field `vec E = a(y hat i + x hat j)`, where `a` is a constant.

A

`axy + C`

B

`-axy + C`

C

`axy`

D

`-axy`

Text Solution

Verified by Experts

The correct Answer is:
b
`vec E = a( y hat i +x hat j)`
`V_2 - V_1 = - int (ayd x + axd y)`
Take `V_1 = C` and `V_2 = V`. Then
`V = -a int (ydx + xdy) + C`
=`-a int d(y x) + C = -a x y + C`.
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