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

AI Thread Summary
The discussion revolves around calculating the time it takes for an electron to travel through a silicon block given specific parameters, including potential difference, resistivity, and dimensions. The resistance of the silicon block is noted as 54.1Ω, with a charge carrier density of 1.23x10^23 m-3. The user seeks assistance in determining the values for charge carrier density (n) and the electron's drift velocity (e) to complete their calculations. The relevant equations provided include Δt = L/Vd and others related to current and resistance. The inquiry emphasizes the need for clarity on these values to solve the problem accurately.
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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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