Electricity and Magnetism · Problem 4.26

THE FIELDS OF MOVING CHARGES — Edward Purcell & David Morin

Physics — E&M · silicon-junction-diode

Problem

Silicon junction diode ** In a silicon junction diode the region of the planar junction between nn-type and pp-type semiconductors can be approximately represented as two adjoining slabs of uniform charge density, one negative and one positive. Away from the junction, outside these charge layers, the potential is constant, its value being ϕn\phi_n in the nn-type material and ϕp\phi_p in the pp-type material. Given that the difference between ϕp\phi_p and ϕn\phi_n is 0.3 volt, and that the thickness of each of the two slabs of charge is 10−410^{-4} m, find the charge density in each of the two slabs, and make a graph of the potential ϕ\phi as a function of position xx through the junction. What is the strength of the electric field at the midplane?

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