Two fixed charges and are located at the points with coordinates and respectively in…
PHYSICS · Multi-part · CBSE · Physics · Electric Charges and Fields · Electric Charges and Fields
Problem
Two fixed charges −2Q and Q are located at the points with coordinates (−3a,0) and (+3a,0) respectively in the x - y plane.
(a) Show that all points in the x - y plane where the electric potential due to the two charges is zero, lie on a circle. Find its radius and the location of its centre.
(b) Give the expression V(x) at a general point on the x -axis and sketch the function V(x) on the whole x -axis.
(c) If a particle of charge +q starts from rest at the centre of the circle, show by a short quantitative argument that the particle eventually crosses the circle. Find its speed when it does so.