Electromagnetism basics: does an electric current flowing through a conductor produce a magnetic field around that conductor? Evaluate the statement with reference to right-hand-rule intuition.

Introduction / Context:Everyday components like inductors, transformers, and even simple wires rely on the coupling between electric current and magnetic fields. The statement asks whether a current-carrying conductor produces a magnetic field around it, a fundamental concept from Ampere’s law.

Given Data / Assumptions:

• Steady current flows in a long, straight conductor.
• Space around the conductor is free space (or uniform medium) for simplicity.
• Quasi-static conditions (no radiation effects).

Concept / Approach:Ampere’s circuital law states that the line integral of magnetic field H around a closed path equals current enclosed. For a straight wire, the magnetic field circles the conductor with magnitude proportional to current and inversely proportional to radial distance (B ∝ I / r). The right-hand rule gives the direction of B around the wire when the thumb points with current.

Step-by-Step Solution:

Verification / Alternative check:Compass deflection near a current-carrying wire demonstrates the presence and direction of the magnetic field; turning current off removes the deflection.

Why Other Options Are Wrong:Incorrect: contradicts Ampere’s law.

Restrictions to AC or superconductors are unfounded; DC currents also produce magnetic fields, and superconductivity is not required.

Common Pitfalls:Assuming only coils create fields; even a single straight wire produces a field. Forgetting the 1/r spatial dependence that weakens the field with distance.

Final Answer:Correct