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QPages 228-229: Q8: HC Verma: Concepts of Physics - Volume 2 Magnetic Field Pages 228-229: Q8 Solution: The net charge in a current-carrying wire is zero. Then, why…
⚠️ Common Exam Traps & Conceptual Pitfalls
Students often think a zero net charge means no magnetic force, but the Lorentz force $qmathbf{v} imesmathbf{B}$ acts on each moving charge separately. In a current‑carrying wire the electrons all move in the same direction, so their forces add and the resulting momentum transfer to the lattice gives the wire a net force.
The net charge in a current-carrying wire is zero. Then, why does a magnetic field exert a force on it?
Step-by-Step Verified Solution
**Answer:** The net charge is zero, but the moving electrons experience a magnetic force.
**Step-by-Step Explanation:**
In a current-carrying wire, the positive ions (nuclei) are stationary, while the free electrons are moving. The magnetic force acts only on the moving charges (electrons). The forces on individual electrons do not cancel because they all move in the same direction. This collective force on the moving electrons is transmitted to the wire through collisions, resulting in a net force on the wire.
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