Sphere B of charge +8q is at a distance a to the left of sphere A, and sphere C of charge +2q is to the right of sphere A. What must be the distance from sphere A to sphere C on the right such that the original small sphere remains at rest?

The distance from sphere A to sphere C on the right such that the original small sphere remains at rest is a/2

Explanation:

The force of a charge at a point is given as follows;

From an online source, we have;

E₁ + E₂ = 0

The electric field due to the sphere B of charge +8q = E₁

The position of the sphere B = A distance 'a' to the left of 'A'

The electric field due to the sphere C of charge +2q = E₂

The position of the sphere C = A distance to the right of 'A'

Therefore, for the electric field strength of sphere 'B' at 'A', we have;

Let 'x' be the distance of the +2q charge to the right of 'A', we have;

Therefore, for the force of the +2q charge to balance the +8q charge at C, we have;

Therefore, the distance, 'x', from sphere A to sphere C on the right such that the original small sphere remains at rest is x = a/2.

asthenosphere and convection

you go to your settings preference and in the end youll see sth that says "i want to delete my acc" click on it and u'll acc will be deleted but u have to wait.