A current i1 carrying wire A B is placed near an another...

A current $i_{1}$ carrying wire $A B$ is placed near an another long wire $C D$ carrying current $i_{2}$ as shown in figure. If free to move, wire $A B$ 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 $i_{1}$ carrying wire $A B$ is placed near an another long wire $C D$ carrying current $i_{2}$ as shown in figure. If free to move, wire $A B$ will have
(a) rotational motion only
(b) translational motion only
(c) rotational as well as translational motion
(d) neither rotational nor translational motion

Labs

Want to see this concept in action?

NEW

Explore this concept interactively to see how it behaves as you change inputs.

View Labs

Key Concepts

Torque on Extended Conductors

A torque arises on an extended current-carrying conductor when the distribution of magnetic forces across its length is uneven. This can cause the conductor to not only translate as a whole but also rotate around its center of mass if it is free to move.

Magnetic Force on a Current-Carrying Conductor

This concept describes the force experienced by a current-carrying conductor when placed in a magnetic field, quantified by F = I (L x B). It is fundamental to understanding how currents interact with magnetic fields to produce mechanical motion.

Magnetic Field of a Long Straight Current-Carrying Wire

A long straight wire carrying current produces a magnetic field that wraps around it, with the magnitude given by B = (?0/2?)(I/r). This principle is essential for determining the magnetic influence exerted by one wire on another nearby conductor.

Non-uniform Magnetic Field Effects

When a current-carrying wire is in the vicinity of another current-carrying wire, the magnetic field it experiences is not uniformly distributed. The resulting gradient in the magnetic field along the wire's length can lead to different forces acting on different segments, contributing to both a net translational force and a torque.

Transcript

Please give Ace some feedback