Concepts Of Physics MCQ Edition [Volume 2]PhysicsElectric Current in Conductors
When a current flows through a wire having a nonuniform cross-section, which of the following quantities remain independent of the cross-sectional area?
Options
- AThe current density
- BThe amount of charge crossing in a given time interval
- CThe free-electron density
- DThe drift speed
Correct answer
C. The free-electron density
Step-by-step solution
By the principle of conservation of charge, the current I (which is the amount of charge crossing a given cross-section in a given time interval) remains constant throughout the wire in a steady state, regardless of its cross-sectional area. The free-electron density n is a characteristic property of the material of the wire and is independent of its dimensions. The current density is given by J = I A , which is inversely proportional to the cross-sectional area A . The drift speed is given by v_d = I neA , which i