A line charge of uniform density rho_l in free space forms a semi-circle of radius b. Determine the magnitude and direction of the electric field intensity at the center of the semi-circle.
a) 2 * rho_l / (π * ε₀ * b) in the outward radial direction b) rho_l / (2 * ε₀ * b) in the inward radial direction c) rho_l / (π * ε₀ * b) in the outward radial direction d) 2 * rho_l / (ε₀ * b) in the inward radial direction
