Question

The electric field in a particular area is given by the following function. `vecE=4.4N/Cxi`, which means it gets bigger with increasing x values. Find the potential difference between points A `(x=0,y=+2)` and B `(x=3,y=0)?`

Answer 1

There will be no effect on potential difference between the two points because of their distance along `Y` axis,as electric field is directed along `X` axis(given, `vecE=4.4xhati`),so any two points along `Y` axis will be equipotential plane.

the relation is given as,

`V_b -V_a=-int_a^b vec E. vec (dx)`

Given, `E=4.4x`

So, `V_b - V_a=-int_0^3 4.4xdx=-4.4/2 [x^2]_0^3=-2.2*9=-19.8`

So,`V_a-V_b=19.8V`