Solution

ID: past-exam-of-the-mphil-in-micro-and-nanotechnology-enterprise-course-of-the-university-of-cambridge/2018/paper-1/section-b/10/i/a/solution

Above-gap photon absorption generates electrons and electron holes. A p-n junction's built-in field and carrier diffusion direct them toward selective contacts; their nonequilibrium populations can maintain separated quasi-Fermi levels and deliver electrical power. The equilibrium built-in voltage alone is not a battery supplying continuous power.
Choose diode current positive into the cell. An idealized characteristic is
Illumination shifts the curve downward. At short circuit ; at open circuit . Between those points, and , so the delivered power is positive.
Figure 1.
Original idealized photovoltaic current–voltage curves and the descending-bandgap order of the proposed three-junction stack
. Details.
The solar-cell fill factor compares maximum delivered power with the open/short-circuit rectangle:
Series resistance, leakage, recombination and temperature change the shape and hence the fill factor. Neither the short-circuit nor the open-circuit point itself delivers power.

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