Show the equipotential surface is a spherical surface

[blueyellow]

Homework Statement

consider now a system of two charges: a point charge q>0 located at the position (x,y,z)=(a,0,0) and a point charge -q/2 located at (-a,0,0).Show that the equipotential surface V=0, i.e. with the same potential than at infinity, is a spherical surface. Determine the centre and the radius of the sphere.

The Attempt at a Solution

tried looking up equipotential surfaces. couldn't find much

 

[tiny-tim]

hi blueyellow!

tried looking up equipotential surfaces. couldn't find much

an equipotential surface is pretty much what it says on the tin!

start by finding the two points on the x-axis with potential zero ​