QJEEM19Ph986f: JEE Main 2019 Physics - Class 12 JEEM19Ph986f Solution: A current of 5 A passes through a copper conductor (resistivity …

Question

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A current of 5 A passes through a copper conductor (resistivity = 1.7 × 10^–8

Ω

m) of radius of cross-section 5 mm. Find the mobility of the charges if their drift velocity is 1.1 × 10^–3 m/s.

Accepted Answer

μ = \frac{V_{d}}{E} E = ρ J

= \frac{1.1 \times 10^{- 3}}{1.7 \times 10^{- 8} \times \frac{5}{π \times 25 \times 0^{- 6}}}

= \frac{1.1 \times 10^{- 3} \times π \times 25 \times 0^{- 6}}{1.7 \times 10^{- 8} \times 5} \approx 1.01 m^{2} / V s

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