An electric field `E = (20hati + 30 hatj)` N/C exists in the space. If thepotential at the origin is taken be zero, find the potential at `(2 m, 2 m)`.

Explanation

`V_(1,2)-V_(0 ,0) = - int _(0,0)^(1,2) vec(E ) . d vec( r)`
`= - int_(0,0)^(1,2) (E_(x)dx + E_(y) dy)`
`= -[int_(0)^(1) E_(x) dx + int_(0)^(2) E_(y) dy]`
`= [ int_(0)^(1) 10 dx + int _(0)^(2) 20 dy]`
`= [ 10|x|_(0)^(1) + 20|y|_(0)^(2) ]`
`= -[10 (1 - 0) + 20(2 - 0)] = -30`
`V_(1,2) - 0 = -30 `
`V_(1,2) = -30` volt