   Chapter 17, Problem 12P

Chapter
Section
Textbook Problem

Germanium is a semiconducting metal with a resistivity of 0.460 Ω · m. (a) Determine the current per unit area through a 5.00-V germanium junction with a length of 2.00 mm. (b) Find the current through the junction if its cross-sectional area is 2.00 × 10−5 m2.

(a)

To determine
The current per unit area of the Germanium semiconductor.

Explanation

Given Info: Resistivity of germanium is 0.460Ωm Potential difference across the germanium junction is 5.00V and its length is 2.00mm

Explanation:

Formula to calculate the current per unit area is,

J=IA

• J is the current density, which is the current per unit area ,
• I is the electric current,
• A is the area of cross section of Germanium junction,

Equation to find current from resistivity is given by,

I=VAρl

• V is the voltage across the germanium junction,
• ρ is the resistivity of germanium,
• l is the length of the germanium junction,

Substitute the equation for current in the above equation to rewrite J

J=(VAρl)A=Vρl

Substitute 5

(b)

To determine
The current passes through the germanium junction.

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