Figure shown two equipotential lies `x, y` plane for an electric field. The scales are market. The `x`-component `E_(x)` and y-component `E_(y)` of the field in the space between these equipotential lines are respectively

Options

A. `+100 V//m, -200 V//m`
B. `+200 V//m, +100 V//m`
C. `-100 V//m, +200 V//m`
D. `-200 V//m, -100 V//m`

Answer

C

Explanation

Slope of equipotential lines will be `=1//2`
`:.` Slope of electric lines must be `=-2`
OR
`E_(x)=-((DeltaV)/(Deltax))_("y=constant")=-((4-2)V)/((4-2)cm)=-100 V//m`
`E_(y)=-((DeltaV)/(Deltay))_("x=constant")=-((2-4)V)/((1-0)cm)=200 V//m`