Question

the electric field at the origin along the positive x axis. A small circle is drawn with the centre at the origin cutting the axes at points A, B, C & D having coordinates (a,0) (0,a) (-a,0) (0,-a) respectively out of the points on the periphery of the circle the potential is minimum at?​

Answer 1

The potential is minimum at point A.

Explanation:

The relationship between electric field and electric potential is given as:

E = -∂V/∂x $\hat{i}$ - ∂V/∂y $\hat{j}$

At origin, then the electric field is given as:

∂V/∂x < 0 and ∂V/∂y = 0

The potential decreases in the x axis and remains constant in y axis.

∴ The potential is minimum at point (a, 0).