Six charges are placed at the vertices of a regular hexagon of side a. Five charges are q and the sixth is x, as shown. Select the correct statement(s) for the electric field and potential at the centre O.

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: A: For x = q, the electric field at O is zero.; B: For x = -q, |EO| = q/(6πε₀a²).; C: For x = 2q, VO = 7q/(4√3 πε₀a)..