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

This means you would need to take the total density of charge carriers and divide by the volume of the block (length x width x thickness). The e value would be the charge of an electron (1.6 x 10^-19 coulombs). In summary, for a block of silicon with a potential difference of 0.497 V applied, resistivity of 8.75 x 10^-4 Ωm, dimensions of 2.00 mm x 14.7 cm, and current density assumed to be uniform, the resistance is 54.1 Ω. The average time for an electron to pass through the block can be calculated using the formula Δt = L/Vd, where L is the length of the
  • #1
loganblacke
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0

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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  • #2
Your n value would merely be the density of charge carriers per unit volume.
 

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

What is drift velocity of electrons?

The drift velocity of electrons is the average velocity at which free electrons move in a particular direction due to an applied electric field.

How is drift velocity of electrons calculated?

The drift velocity of electrons can be calculated using the formula: v = μE, where v is the drift velocity, μ is the electron mobility, and E is the applied electric field.

What factors affect the drift velocity of electrons?

The drift velocity of electrons can be affected by several factors including the applied electric field, the temperature, and the material properties such as electron density and mobility.

What is the significance of drift velocity of electrons?

The drift velocity of electrons is important in understanding the behavior of electric currents in materials. It also plays a crucial role in the design and functioning of electronic devices.

How does the drift velocity of electrons differ from the speed of light?

The drift velocity of electrons is typically much lower than the speed of light. While the speed of light is a constant in a vacuum, the drift velocity of electrons can vary depending on the material and the applied electric field.

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