Two current-carrying parallel conductors are shown in the...

Two current-carrying parallel conductors are shown in the figure. The magnitude and nature of force acting between them per unit length will be (Figure can't copy) (a) $8 \times 10^{-8} \mathrm{~N} / \mathrm{m}$, attractive (b) $3.2 \times 10^{-5} \mathrm{~N} / \mathrm{m}$, repulsive (c) $3.2 \times 10^{-5} \mathrm{~N} / \mathrm{m}$, attractive (d) $8 \times 10^{-8} \mathrm{~N} / \mathrm{m}$, repulsive

Two current-carrying parallel conductors are shown in the figure. The magnitude and nature of force acting between them per unit length will be
(Figure can't copy)
(a) $8 \times 10^{-8} \mathrm{~N} / \mathrm{m}$, attractive
(b) $3.2 \times 10^{-5} \mathrm{~N} / \mathrm{m}$, repulsive
(c) $3.2 \times 10^{-5} \mathrm{~N} / \mathrm{m}$, attractive
(d) $8 \times 10^{-8} \mathrm{~N} / \mathrm{m}$, repulsive

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Key Concepts

Magnetic Field due to a Current-Carrying Conductor

A current-carrying conductor produces a magnetic field in the surrounding space. The magnitude of the magnetic field at a given distance from the wire is determined by Ampere's Law, and its direction is given by the right-hand grip rule. This concept is essential for understanding how one current can exert a force on another via their magnetic fields.

Force Between Parallel Current-Carrying Conductors

Two parallel conductors carrying currents exert forces on each other due to the interaction of their magnetic fields. According to Ampere's force law, the force per unit length between the wires depends on the product of the currents and is inversely proportional to the distance between them. If the currents flow in the same direction, the force is attractive; if they flow in opposite directions, the force is repulsive.

Right-Hand Rule

The right-hand rule is a mnemonic used to determine the direction of the magnetic field relative to the direction of conventional current flow in a conductor. It is also used to establish the direction of the force acting on a current-carrying conductor within a magnetic field. This rule is fundamental in predicting the behavior of magnetic forces in current-carrying systems.

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