Answer: 2 × 10⁻⁴ N/m, repulsive.
- A 2 × 10⁻⁴ N/m, attractive
- B 1 × 10⁻⁴ N/m, repulsive
- C 4 × 10⁻⁴ N/m, attractive
- D 2 × 10⁻⁴ N/m, repulsive
Correct answer: D. 2 × 10⁻⁴ N/m, repulsive
Explanation: Force per unit length = μ0 I<sub>1</sub> I<sub>2</sub>/(2π d) = (4π×10⁻⁷ × 5 × 10)/(2π × 0.05) = 2×10⁻⁴ N/m; currents in opposite directions repel each other.
The magnetic field around a long straight current-carrying wire forms concentric circles, with direction given by the right-hand rule (point thumb along I, fingers curl in the direction of B).
Concept context
Magnetic force on moving charges and currents, the Biot-Savart law, Ampere's law, and the cyclotron - how electric currents create and respond to magnetic fields.