A current I, carrying wire AB is placed near an another long wire CD carrying current I2 As show

step 1 In this problem, magnetic field Due to wire CD Due to wire CD is non -uniform Wire AB will Wire

A current I, carrying wire AB is placed near an another long...

A current $\mathrm{I}$, carrying wire $\mathrm{AB}$ is placed near an another long wire CD carrying current $\mathrm{I}_{2}$ As shown in Fig. If free to move, wire AB will have(a) rotational motion only (b) translational motion only (c) rotational as well as translational motion (d) neither rotational nor translational motion

A current $\mathrm{I}$, carrying wire $\mathrm{AB}$ is placed near an another long wire CD carrying current $\mathrm{I}_{2}$ As shown in Fig. If free to move, wire AB will have(a) rotational motion only
(b) translational motion only
(c) rotational as well as translational motion
(d) neither rotational nor translational motion

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Key Concepts

Magnetic Force on Current-Carrying Wires

A current-carrying conductor in a magnetic field experiences a force given by the Lorentz force law, expressed as F = I (L × B). This principle explains how one current-carrying wire can exert a force on another, leading to translational motion when the net force acts on the conductor.

Non-uniform Magnetic Field Effects

In situations where the magnetic field is not uniform over the extent of a conductor, different parts of the wire can experience forces of different magnitudes. This spatial variation can create a torque on the wire, causing it to rotate while simultaneously being pushed translationally, depending on how the forces are distributed.

Ampere’s Force Law

Ampere’s force law describes the magnetic interaction between current elements and provides the theoretical basis for the attractive or repulsive forces between parallel currents. It is essential for understanding how two nearby current-carrying wires exert forces on each other, and assists in analyzing cases where both net force and torque might occur.

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