Consider one square n-type CdS sample with its side length of 1 mm and thickness of 0.1 mm. The cutoff light wavelength is 5.1×10−⁷m. The sample is irradiated with a light intensity of 1 mW/cm² and wavelength of 4.096×10−⁷m. Assume for the light absorbed will generate electron and hole pairs. Further assume that holes generated will be trapped in the sample and will not contribute to the electrical conduction. The photogenerated electron lifetime is equal to 10−⁵s and its mobility is 100 cm²/(Vs).

(a) Calculate the electron/hole pairs generated per second.
(b) Calculate the increase of electron concentration (Δn).
(c) Calculate increase of conductance (Δg).
(d) Calculate the photogenerated current flowing along the sample when it is applied with a voltage of 20 V at two ends.