Question

Graph between electric potential and the x-coordinate is given and the electric field is along the x-axis.Then find total charge in various cubes placed with one edge along positive x-axis.

Answer 1

For option (A) solution : $E_{atx=1}=-2$ $E_{atorigin}=0$

therefore $\varphi =1\times -2=-2=\frac{Q}{ϵ}$

$Q=2ϵ$

For option (B) solution : E is uniform
For option (C) solution : E is uniform

For option (D) solution :$E_{atorigin}=0$ $E_{atx=6}=2$

$\varphi =2\times 36=72=\frac{Q}{ϵ}$

$Q=72ϵ$