radial electric feilds

What is a radial electric field?

Electric field lines directed radially inwards or outwards from a single point charge.

How does electric field strength vary in a radial field?

The electric field strength is the same at all points equidistant from the point charge. $E = \frac{Q}{4\pi\epsilon<em>0r^2}$, where $E$ is electric field strength, $Q$ is the charge, $\epsilon</em>0$ is the permittivity of free space, and $r$ is the distance from the charge.

Direction of electric field lines

For a positive charge, the electric field lines point radially outwards. For a negative charge, the electric field lines point radially inwards.

Electric potential difference in radial field

The potential difference between two points in a radial field is given by: $V = \frac{Q}{4\pi\epsilon<em>0} (\frac{1}{r</em>1} - \frac{1}{r<em>2})$, where $V$ is potential difference, $Q$ is the charge, $\epsilon</em>0$ is the permittivity of free space, and $r<em>1$ and $r</em>2$ are the distances from the charge to the two points.