Electric Field of a Non-Uniformly Charged Disk

Question

A circular disk of radius R has a surface charge density that varies with the distance r from its center, given by σ(r) = σ₀(1-r²/R²). What is the electric field at a point on the disk's axis, located a distance z from the center?

Accepted Answer

E = (σ₀/2ε₀)[1-(z/√(z²+R²))(1+R²/2(z²+R²))]

Answer

E = (σ₀/2ε₀)[1-(1+R²/2z²)/(1+R²/z²)^(3/2)]

Answer

E = (σ₀/2ε₀)[1-z/√(z²+R²)²]

Answer

E = (σ₀/2ε₀)[1-(z/√(z²+R²))]

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