How Long Does It Take for an Electron to Travel Through a Silicon Block?

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SUMMARY

The discussion focuses on calculating the time it takes for an electron to travel through a silicon block with a potential difference of 0.497 V and resistivity of 8.75 x 10-4 Ωm. The block dimensions are 2.00 mm in width and 14.7 cm in length, resulting in a resistance of 54.1 Ω. The charge carrier density is given as 1.23 x 1023 m-3, and the current density is assumed to be uniform, following Ohm's Law. Participants seek assistance in determining the values for charge carrier density (n) and electron drift velocity (e).

PREREQUISITES
  • Understanding of Ohm's Law and its application in semiconductor physics
  • Familiarity with the concepts of charge carrier density and drift velocity
  • Knowledge of resistivity and resistance calculations
  • Basic proficiency in manipulating equations related to electric current
NEXT STEPS
  • Calculate the drift velocity of electrons in silicon using the formula Δt = L/Vd
  • Research the impact of resistivity on electron mobility in semiconductor materials
  • Explore the relationship between current density and charge carrier density in conductive materials
  • Investigate the effects of temperature on the resistivity of silicon and copper
USEFUL FOR

Students studying physics or electrical engineering, particularly those focusing on semiconductor technology and electronic circuit design.

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Homework Statement


A potential diffference of V = .497 V is applied across a block of silicon with resistivity 8.75 x 10-4 Ωm. The dimensions of the block are width = a = 2.00 mm, and length L = 14.7 cm. The resistance of the block is 54.1Ω, and the density of charge carries is 1.23x1023 m-3. Assume that the current density in the block is uniform and that current flows in silicon according to Ohms Law. The total length of 0.507mm diameter copper wire in the circuit is 79.1 cm. Assume that the resistivity of copper is 1.72x10-8Ωm for this problem.

On average, how long does it take an electron to pass from one end of the block to the other?


Homework Equations


Δt = L/Vd = Lanbe/i


The Attempt at a Solution



L = .145 m
a = .002 m
n = ?
b = ρsL/aRs = .00121 m
e = ?
i = 9.55 mA

Can someone please help me with the values for n and e? Thanks
 
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Your n value would merely be the density of charge carriers per unit volume.
 

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