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The current density of an ideal p-n junction under illumination can be described by: J(V)=Jph−J0(eqVkT−1) where Jph is the photo-current density, J0 the saturation-current density, q the elementary charge, V the voltage, k the Boltzmann's constant, and T the temperature. A crystalline silicon solar cell generates a photo-current density of Jph=40mA/cm2 at T=300K. The saturation-current density is J0=1.95∗10−10mA/cm2. Assuming that the solar cell behaves as an ideal p-n junction, calculate the open-circuit voltage Voc (in V).
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The current in an open circuit is 0 i.e J(V)=0. Knowing that the above equation can be solved for v.
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