What is the trajectory of charged particle when it is projected perpendicular to magnetic field?

Its path is circular in a plane perpendicular to the plane of magnetic field.

What happens to the electron if the motion is perpendicular to the magnetic field?

Previously, we have seen that circular motion results when the velocity of a charged particle is perpendicular to the magnetic field. The speed and kinetic energy of the particle remain constant, but the direction is altered at each instant by the perpendicular magnetic force.

What force is experienced by a charge moving perpendicular to the magnetic field?

Magnetic Forces on Moving Charges The magnetic force on a free moving charge is perpendicular to both the velocity of the charge and the magnetic field with direction given by the right hand rule. The force is given by the charge times the vector product of velocity and magnetic field.

Is the magnetic force always perpendicular to the velocity of a particle?

Another way to look at this is that the 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 trajectory of charged particles?

Since the magnetic force is perpendicular to the direction of travel, a charged particle follows a curved path in a magnetic field. The particle continues to follow this curved path until it forms a complete circle. The magnetic force is perpendicular to the velocity, so velocity changes in direction but not magnitude.

What is the CGS unit of magnetic flux density?

The gauss, abbreviated as G or Gs, is the cgs unit of measurement of a magnetic field B, which is also known as the “magnetic flux density” or the “magnetic induction”. It is named after German mathematician and physicist Carl Friedrich Gauss. One gauss is defined as one maxwell per square centimeter.

What is the force on a charge moving in magnetic field?

F = qvB sin θ, where θ is the angle between the directions of v and B. This force is often called the Lorentz force. In fact, this is how we define the magnetic field strength B—in terms of the force on a charged particle moving in a magnetic field.

What is the magnetic force on a charged particle?

The magnetic force does no work on a charged particle. Therefore a magnetic field cannot be used to increase the energy of a charged particle. If v and B are perpendicular the particle will move in a circular path. (If v also has a component along the direction of B the path will be a helix).

Does magnetic force depend on charge?

The magnetic force is always perpendicular to the velocity and to the magnetic field (since it is given by their cross-product). The direction of the magnetic force depends on the sign of the charge. There is no force if the particle’s velocity is in the same direction as the magnetic field vector.

How is magnetic force perpendicular to velocity?

The superficial answer is simply that the Lorentz (magnetic) force is proportional to v×B, where v is the particle velocity and B is the magnetic field. Since the vector cross product is always at right angles to each of the vector factors, the force is perpendicular to v.