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College Physics

11th Edition
Raymond A. Serway + 1 other
ISBN: 9781305952300

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BuyFindarrow_forward

College Physics

11th Edition
Raymond A. Serway + 1 other
ISBN: 9781305952300
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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