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Magnetic force is a consequence of electromagnetic force and is caused due to the motion of charges. We have learned that moving charges surround itself with a magnetic field. With this context, the magnetic force can be described as a force that arises due to interacting magnetic fields.

What Is Magnetic Force?

If we place a point charge q in the presence of both a magnitude field given by magnitude B(r) and an electric field given by a magnitude E(r), then the total force on the electric charge q can be written as the sum of the electric force and the magnetic force acting on the object (Felectric + Fmagnetic).

Magnetic force can be defined as:

The magnetic force between two moving charges may be described as the effect exerted upon either charge by a magnetic field created by the other.

How To Find Magnetic Force?

The magnitude of the magnetic force depends on how much charge is in how much motion in each of the objects and how far apart they are.

Mathematically, we can write magnetic force as:
F=q[E(r)+v×B(r)]
This force is termed as the Lorentz Force. It is the combination of the electric and magnetic force on a point charge due to electromagnetic fields. The interaction between the electric field and the magnetic field has the following features:

  • The magnetic force depends upon the charge of the particle, the velocity of the particle and the magnetic field in which it is placed. The direction of the magnetic force is opposite to that of a positive charge.
  • The magnitude of the force is calculated by the cross product of velocity and the magnetic field, given by q [ v × B ]. The resultant force is thus perpendicular to the direction of the velocity and the magnetic field, the direction of the magnetic field is predicted by the right-hand thumb rule.
  • In the case of static charges, the total magnetic force is zero.

Magnetic Force on a Current-Carrying Conductor

Let us now discuss the force due to the magnetic field in a straight current-carrying rod.

  • We consider a rod of uniform length l and cross-sectional area A.
  • In the conducting rod, let the number density of mobile electrons be given by n.

Then the total number of charge carriers can be given by nAI, where I is the steady current in the rod. The drift velocity of each mobile carrier is assumed to be given as vd. When the conducting rod is placed in an external magnetic field of magnitude B, the force applied on the mobile charges or the electrons can be given as:
F=(nAI)qvd × B
Where q is the value of charge on the mobile carrier.
As nqvd is also the current density j and A×|nqvd| is the current I through the conductor, then we can write:
F=[(nqevd)AI] × B = [jAI] × B=Il × B
Where I is the vector of magnitude equal to the length of the conducting rod.

The document Magnetic Force | Physics Class 12 - NEET is a part of the NEET Course Physics Class 12.
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FAQs on Magnetic Force - Physics Class 12 - NEET

1. What is magnetic force?
Ans. Magnetic force is a fundamental force of nature that attracts or repels objects that have a magnetic property. It is caused by the motion of electric charges, such as electrons, within magnetic materials.
2. How does magnetic force affect charged particles?
Ans. Magnetic force can exert a force on charged particles that are moving through a magnetic field. This force acts perpendicular to both the direction of the magnetic field and the direction of the particle's velocity, causing the particle to move in a curved path.
3. What is the relationship between magnetic force and the strength of a magnetic field?
Ans. The strength of the magnetic force experienced by a charged particle depends on the strength of the magnetic field it is moving through. The stronger the magnetic field, the greater the force exerted on the particle.
4. Can magnetic force affect non-magnetic objects?
Ans. Magnetic force can only affect objects that have a magnetic property, such as iron or steel. Non-magnetic objects, such as wood or plastic, are not affected by magnetic force.
5. How is magnetic force used in everyday life?
Ans. Magnetic force is used in a variety of everyday applications, including magnetic levitation trains, electric motors, and magnetic resonance imaging (MRI) machines in medical diagnostics. It is also used in magnetic compasses for navigation and in the generation of electricity in power plants.
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