In this paper we have carried out a theoretical study on influence of the illumination wavelength on the diffusion capacitance of a silicon solar cell under constant magnetic field. We solved the continuity equation that is related to the minority carrier’s density. Then we established the expression of the solar cell diffusion capacitance in function of the wavelength, the magnetic field, the frequency resonance, the thickness of the base and the junction recombination velocity. The space charge zone (SCZ) of the solar cell has been considered as a plane capacitor which capacitance corresponds to the diffusion capacitance. The expression of the diffusion capacitance is determined. The wavelength range [λ=0.6 μm ;λ=0.86 μm ] is the optimum range of illumination wavelengths for good conversion efficiency, for an n+-p-p+ series vertical junction solar cell under constant magnetic field in frequency modulation.
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