Question:

Two coaxial solenoids of different radii carry current $I$ in the same direction. Let $\vec{F}_1$ be the magnetic force on the inner solenoid due to the outer one and $\vec{F}_2$ be the magnetic force on the outer solenoid due to the inner one. Then,

Updated On: Sep 14, 2024
  • $\vec{F}_1$ is radially outwards and $\vec{F}_2$ = 0
  • $\vec{F}_1$ is radially inwards and $\vec{F}_2$ is radially outwards
  • $\vec{F}_1$ is radially inwards and $\vec{F}_2$ = 0
  • $\vec{F}_{1} = \vec{F}_2 = 0$
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The Correct Option is D

Solution and Explanation

Cross-sectional view
(Both solenoids are taken to be ideal in nature.) Both wires will attract each other, but net force on each wire will be zero. Concept: Two current carrying elements attract each other if direction of current is same. $F.B.D$
$\vec{ F }_{1}=0$ $\vec{ F }_{2}=0$
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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.