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Consider a linearly graded Si p-n junction. Find a relation for the potential across the depletion region.
Hint: Start from equation 29 in chapter 3 of the text book. Integrate the electric field to find the potential. Use boundary condition V(x)=0 at x=-W /2, where W is the depletion width.
Once you find the expression for V(x), plot V(x) vs. x within the depletion width. You can compute V(x) for x between -W/2 and W/2 in steps of 0.05E-4 (or whatever you like). Show your computation and plot in excel sheet. Note that W and the impurity gradient are 0.809E-4 cm and 1020 cm-4 respectively.
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