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Analysis of the p-n Junction June 30, 2015 Chapter VI
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Calculation of Carrier density and Current Densities Currents and carrier densities in the neutral regions
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Depletion layer width with or without applied bias
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With applied bias
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Same as Eq (4-48a) in Sze V
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Light passing through a semi-transparent medium follows Bouguer’s (Bouguer-Lambert’s, or Beer’s) Law Where b is the light energy passing through the medium per unit area, and is the absorption per unit volume.
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Currents and carrier densities in the space charge region
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Total Current Density Current from p to n is positive and is opposite to the convention.
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No light and no applied bias
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No light but with forward bias
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P-n Junction under Illumination Short circuit current: V=0
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Under short circuit condition: V=0 In the depletion region, E Fn = E Fp
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Medium has a higher absorption coefficient for short wavelength light
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Penetration depth in a semi- transparent medium Solution from Electro-magnetic (Maxwell) wave equation in a semi-transparent medium: where k is the extinction coefficient for the medium. For light intensity, the decay of light should follow
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continue Penetration depth of light in a semi-transparent medium can be found when
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When x p exceeds L n, emitter is too thick. Part of the region becomes dead layer.
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Open circuit voltage J m,o is similar to J R in Eq 4-59 in Sze. for N A >> N D
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PV cell with a resistive load
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Due to reduced band gap at higher T
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