Case study·Hard exam skill (4/5)·Calculator allowed

Difficulty guide

The label describes the problem, not your ability.

1/5 - Foundational

Warm-up setup; checks one basic idea.

2/5 - Routine exam skill

Normal syllabus skill; usually one main rule or interpretation.

3/5 - Standard multi-step

Exam-style problem with multiple steps or a common trap.

4/5 - Hard exam skill

High-end exam problem; combines methods carefully.

5/5 - Challenge

Stretch problem beyond normal exam pressure.

Question

A long copper wire of area 1.0×106 m21.0\times10^{-6}\text{ m}^2 carries a steady current of 1.6 A1.6\text{ A}. The electron density is 8.0×1028 m38.0\times10^{28}\text{ m}^{-3}. A classroom discussion compares charge transfer through a section with the slow drift of individual electrons.
Total: 5 marks

(a) Find the charge crossing any section in 30 s. (1 mark)

(b) Find the electron drift speed. (2 marks)

(c) Estimate the time an electron takes to drift 2.0 m along the wire. (2 marks)

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cbse-physics-12.u2.t2-1.case.005

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