Influence of free parameters in Eq. (5)(n the plasma density, d the size of the acceleration region, and λ the scattering mean free path) on the spatial (left panels) and spectral (right panels) distributions of energetic electrons. In the top panels, d and λ are constant and n = 5 × 10⁹ cm^-3 (blue), n = 4 × 10¹⁰ cm^-3 (green), and n = 10¹¹ cm^-3 (orange). In the middle panels, n and λ are constant and d = 2 × 10⁸ cm (blue), d = 6 × 10⁸ cm (green), and d = 12 × 10⁸ cm (orange). In the bottom panels, n and d are constant and λ = 10⁸ cm (blue), λ = 3 × 10⁸ cm (green), and λ = 10⁹ cm (orange). The dotted vertical lines indicate the energies at which the coronal spectrum crosses the footpoint spectrum.