Uniform electric field of magnitude `100 Vm^-1` in space is directed along the line `y = 3 + x`. Find the potential difference between points `A (3,1) and B (1,3)`.

Options

A. `100V`
B. `200sqrt(2)V`
C. `200V`
D. `0`

Answer

D

Explanation

No change in potenial for the wire placed on `X` axis.So `W=0` and for wires on `Y` &`Z` axes is `W=Deltar(lambda)/(2pioepsilon_(0))l n(r_(2))/(r_(1))W=W_(1)+W_(2)`
`W=(4lambda)/(2piepsilon_(0))i n((sqrt(2))/(1))W=(lambda)/(piepsilon_(0)) l n2`