A current of 5A passes through a copper conductor (resistivity= $1 .7 \times 10^{- 8} Ωm$ ) of radius of cross section 5mm. Find the mobility (in SI unit) of the charges, if their drift velocity is $1 .1 \times 10^{- 3} m / s$ .
(Round off to nearest integer)

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Detailed Solution

Given $I = 5 A$

$ρ = 1.7 \times 10^{- 8} Ω - m$

$r = 5 m m = 5 \times 10^{- 3} m$

$V_{d} = 1.1 \times 10^{- 3} m / s$

Mobility $μ = \frac{V_{d}}{E}$

Resistivity $ρ = \frac{E}{J} = \frac{E}{\frac{I}{A}} = \frac{E A}{I}$

$∴ E = \frac{ρ I}{A}$

$∴ μ = \frac{V_{d} A}{ρ I} = 1.016 m^{2} s^{- 1} V^{- 1}$

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