Answered: For a semiconductor with a constant…

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...

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For a semiconductor with a constant mobility ratio b=μ_n/μ_p > 1 independent of impurity concentration, find the maximum resistivity ρ_m in terms of the intrinsic resistivity ρ_i and the mobility ratio.
(HINT: First, express the conductivity as the sum of the contributions of the electrons and holes. The expression will contain both n and p. Eliminate one of them by using the fact that their product is a constant at a given temperature. Next, to obtain the maximum resistivity, take a derivative with respect to the carrier concentration (which you did not eliminate in the previous step). Then obtain the ratio of ρ_m /ρ_i. This ratio should be independent of the carrier concentrations.)

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