The two equations for the minority carrier concentration (here the electrons at the p-side) at the edge of a junction were | |||||||||||||||
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The first equation came from simply relating one kind of carriers on both sides of the junction including non-equilibrium (i.e. voltage U not zero), the second one is simple the mass action law valid for equlibium (i.e. U = 0). | |||||||||||||||
Show that the two equations are equivalent. | |||||||||||||||
Hint: Express n_{e}^{n} in terms of n_{h}^{p}. Write down the equation for n_{h} ^{p} and reshuffle the energies in the exponent so that n_{e}^{n} and n_{i} can be extracted. | |||||||||||||||
Link to the solution |
Solution to Exercise 2.1-1 Free Electron Gas with Constant Boundary Conditions
© H. Föll (Semiconductors - Script)