The diagram shows a small bead of mass m carrying charge q. The bead can freely move on the smooth fixed ring placed on a smooth horizontal plane. In the same plane a charge +Q has also been fixed as shown. The potential at the point P due to +Q is V. The velocity with which the bead should projected from the point P so that it can complete a circle should be greater than $\sqrt{}$ (nqV/m) find ‘n’.

Question

G1 Physics · Accepted Answer

Step 1: Use V = Σ[kqᵢ/rᵢ] for discrete charges or integrate dV = k dq/r for a continuous distribution. If a field is given, use ΔV = -∫𝐄·d𝐥. Step 2: Potential is a scalar, so contributions add algebraically. Step 3: Insert the stated distances/charge distribution and simplify. Final: 6.