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

Engineering

Physics

Ohm Law and Current Basics

Question

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.

1.8 m²/Vs

1.0 m²/Vs

1.5 m²/Vs

1.3 m²/Vs

LiveFree JEE Main Previous Year Online Papers Live Free JEE Advance Previous Year Online Papers

College PredictorLive

Know your College Admission Chances Based on your Rank/Percentile, Category and Home State.

Get your JEE Main Personalised Report with Top Predicted Colleges in JoSA

$μ = \frac{V_{d}}{E} E = ρJ$

$= \frac{1.1 \times 10^{- 13}}{1.7 \times 10^{- 8} \times \frac{5}{π \times 25 \times 10^{- 6}}}$

$= \frac{1 .1 \times 10^{- 13} \times π \times 25 \times 10^{- 6}}{1 .7 \times 10^{- 8} \times 5} \approx 1 .01 m^{2} / Vs$