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  • When 5V potential difference is applied across a wire of length 0.1 m, the drift speed of electrons is . If the electron de

When 5V potential difference is applied across a wire of length 0.1 m, the drift speed of electrons is 2.5\times 10^{-4}\; m/s. If the electron density in the wire is 8\times 10^{28}\; m^{-3}, calculate the resistivity of the material of wire.

 

 

 

 
 
 
 
 

Answers (1)

\rho =\frac{RA}{l}

R=\frac{V}{I}

\rho =\frac{VA}{Il}

I=ne Av_{d}

\therefore \rho =\frac{VA}{ne\; Av_{d}l}=\frac{V}{nev_{d}l}

=\frac{5}{8\times 10^{28}\times 1.6\times 10^{-19}\times 2.5\times 10^{-4}\times 0.1}

\rho \simeq 1.6\times 10^{-5}\Omega\; m

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Safeer PP

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