A ball of radius R carries positive volume charge density ρ(r) = ρ₀(1 - r/R), where ρ₀ is constant. If ε is the permittivity of the material, find the electric field magnitude outside the ball.

Options

• Option A

  $E=\frac{\rho_{\omicron}R^3}{8\varepsilon r^2}$

• Option B

  $E=\frac{\rho_{\omicron}R^3}{12\varepsilon r^2}$

• Option C

  $E=\frac{\rho_{\omicron}R^2}{8\varepsilon r^3}$

• Option D

  $E=\frac{\rho_{\omicron}R^2}{12\varepsilon r^3}$