Question:

A rectangular loop carrying a current i is situated near a long straight wire such that the wire is parallel to one of the sides of the loop and is in the plane of the loop. If steady current I is established in the wire as shown in the figure, the loop will

Updated On: Jun 14, 2022
  • rotate about an axis parallel to the wire
  • move away from the wire
  • move towards the wire
  • remain stationary
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The Correct Option is C

Solution and Explanation

Straight wire will produce a non-uniform field to the right of it. $F_{bc}and F_{da} $will be calculated by integration but these two forces will cancel each other. Further force on wire ab will be towards the long wire and on wire cd will be away from thelong wire. But since the wire ab is nearer to the long wire force of attraction towards the long wire will be more. Hence, the loop will move towards the wire.
$\therefore$ Correct option is (c).
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Concepts Used:

Moving Charges and Magnetism

Moving charges generate an electric field and the rate of flow of charge is known as current. This is the basic concept in Electrostatics. Another important concept related to moving electric charges is the magnetic effect of current. Magnetism is caused by the current.

Magnetism:

  • The relationship between a Moving Charge and Magnetism is that Magnetism is produced by the movement of charges.
  • And Magnetism is a property that is displayed by Magnets and produced by moving charges, which results in objects being attracted or pushed away.

Magnetic Field:

Region in space around a magnet where the Magnet has its Magnetic effect is called the Magnetic field of the Magnet. Let us suppose that there is a point charge q (moving with a velocity v and, located at r at a given time t) in presence of both the electric field E (r) and the magnetic field B (r). The force on an electric charge q due to both of them can be written as,

F = q [ E (r) + v × B (r)] ≡ EElectric +Fmagnetic 

This force was based on the extensive experiments of Ampere and others. It is called the Lorentz force.