What is the motion of a charged particle in a constant magnetic field?

What is the motion of a charged particle in a constant magnetic field?

The Motion of Charged Particle in Electric and Magnetic Field. F = q(v x B). Here, the magnetic force becomes centripetal force due to its direction towards the circular motion of the particle. Hence, if the field and velocity are perpendicular to each other, then the particle takes a circular path.

When a charged particle moves across a constant magnetic field?

As we know that when a charged particle moves across a constant uniform magnetic field then, the magnetic force acting on the charged particle will be perpendicular to the direction of the magnetic field as well as the direction of the velocity of the charged particle.

What happens when a charged particle moves through a magnetic field?

Magnetic force can cause a charged particle to move in a circular or spiral path. Cosmic rays are energetic charged particles in outer space, some of which approach the Earth. They can be forced into spiral paths by the Earth’s magnetic field. Protons in giant accelerators are kept in a circular path by magnetic force.

When a charged particle moves along a magnetic field?

If a moving charged particle is subjected to a perpendicular uniform magnetic field, then according to F= qvB sin (θ), it will experience a maximum force which acts as a centripetal force to particle and it will follow a circular path with uniform speed.

What is the motion of charged particle in magnetic field Class 12?

Ans : Charged particle movement in an electric and magnetic field q = F (v x B). As the mechanical field is directed towards the particle’s circular motion, it forms a centripetal force. As a result, if the field and velocity are parallel, the particle will follow a circular route.

Does a constant magnetic field do work on a charged particle?

Magnetic force is always perpendicular to velocity, so that it does no work on the charged particle. The particle’s kinetic energy and speed thus remain constant. The direction of motion is affected, but not the speed.

What is the SI unit for magnetic field?

The tesla (symbol: T) is the unit of magnetic flux density (also called magnetic B-field strength) in the International System of Units (SI).

Is the energy of a charged particle moving in a uniform magnetic field constant?

The force on a charged particle moving in a uniform magnetic field always acts in the direction perpendicular to the direction of motion of the charge. As work done by a magnetic field on the charge is zero,[W=FScosΘ], so the energy of the charged particle does not change.

What is the formula for the magnetic field?

B = μ 0 I 2 π r In the equation, µ0 is a special constant known as the permeability of free space(µ0=4π×10-7 T⋅ m/A). Materials with higher permeability possess the ability to concentrate on magnetic fields. The magnetic field has direction as it is a vector quantity.

Why does a charge moving through a constant magnetic field experience centripetal motion?

A moving electric charge whose velocity is perpendicular to the magnetic field will feel a magnetic force that will cause it to experience centripetal acceleration. This force will act to change the direction of the velocity while keeping the magnitude of the velocity constant.

What is the formula for the magnetic field of a moving charge?

Experiments show that the magnetic field of of moving charge can be expressed as: μo ≡ 4π × 10-7 N·s2/C2 is called the permeability of free space. The constant εo that is used in electric field calculations is called the permittivity of free space. Note that εoμo = 1/c2.

What is the formula for momentum in a magnetic field?

In the presence of a magnetic field, the canonical momentum of a charge particle changes from pi≡mvi to πi≡pi+eAi, where e is the charge of the particle.

What is the motion of charges in constant electric fields?

Particle in Constant Electric Field Suppose a particle with charge q is exposed to a constant electric field Ex in the x direction. The x component of the force on the particle is thus Fx=qEx. From Newton’s second law the acceleration in the x direction is therefore ax=Fx/m=qEx/m where m is the mass of the particle.

What is the motion of an electron in a magnetic field?

An electron enters the magnetic field perpendicularly as shown in the figure. Hence according to the right hand thumb rule, the magnetic force on the electron will be (−e)(v XB ). The force will be perpendicular to the motion at every instant. Hence the particle moves in circular motion.