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10. Consider a step pn junction made of silicon. Carrier lifetimes are given as \tau_n =...

10.

Consider a step pn junction made of silicon. Carrier lifetimes are given as \tau_n = 10^{-7} sτn​=10−7s and \tau_p = 10^{-7} sτp​=10−7s. Assume long diode, i.e. long quasi-neutral regions. What must be the doping density ratio, N_A/N_DNA​/ND​, in order to have 95% of the total current in the depletion region carried by electrons?

Answers within 5% error will be considered correct.

11.

Consider two ideal pn junctions at T = 300\: KT=300K with exactly the same physical parameters except for the bandgap energy. The first pn junction has a bandgap energy of 0.525 eV and a forward current of J_1 = 10\: mAJ1​=10mA at V_a = 0.255\: VVa​=0.255V. For the second pn junction, a forward current of J_2 = 10\: \mu AJ2​=10μA was measured at V_a = 0.32\: VVa​=0.32V. What is the bandgap energy of the second pn junction material?

Give your answer in unit of eVeV. Answers within 5% error will be considered correct.

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