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QPage 248: Q10: HC Verma: Concepts of Physics - Volume 2 Magnetic Field Due to a Current Page 248: Q10 Solution: In order to have a current in a long wire, it should be…
⚠️ Common Exam Traps & Conceptual Pitfalls
Students often think the magnetic field calculation must include the battery or return path, but Ampere’s law only requires the current $I$ enclosed by the chosen Amperian loop. The source of the current does not influence the field as long as the current is steady.
In order to have a current in a long wire, it should be connected to a battery or some such device. Can we obtain the magnetic field due to a straight, long wire by using Ampere's law without mentioning this other part of the circuit?
Step-by-Step Verified Solution
**Answer:** Yes, Ampere's law can be used without mentioning the source of the current. The law requires only that a steady current flows through the wire.
**Step-by-Step Explanation:**
Ampere's law relates the magnetic field to the current enclosed. The source of the current (battery, generator, etc.) does not affect the magnetic field produced by the wire, as long as the current is steady.
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