The low pass RC filter circuit given in the figure is loaded with RL resistor.
(a) Derive the expression of voltage transfer function V_o / V_i.
(b) At what frequency does the amplitude of H (jω) be maximum?
(c) What is the value of the maximum amplitude of H (jω)?
(d) At what frequency does the amplitude of H (jω) equal its highest value divided by √2?
(e) If R = 1kΩ, C = 100 nF and RL = 10 kΩ in the circuit shown in the figure, find ω_c, H (j0), h (jω_c), h (j0.1ω_c) and H (j10ω_c).

R RL