The electric potential at the centre of two concentric half rings of radii R₁ and R₂, having same linear charge density λ is

Question

G1 Physics · Accepted Answer

For a semicircular ring of radius R and linear charge density λ, every element is at distance R from the centre. Potential due to one half ring is V = (1/(4πε₀R))(λπR) = λ/(4ε₀). There are two half rings, so total potential is λ/(4ε₀) + λ/(4ε₀) = λ/(2ε₀).