Motion in a Magnetic Field

The magnetic field is the area surrounding a magnet in which the magnetic force may be seen. Magnetic columns indicate the magnetic field’s direction. 

The force produced by an electric field is far greater than the force produced by a magnetic field. The circling motion of charges in a magnetic field is used to calculate an atom’s mass. Magnetic field lines create a closed loop, but electric field lines do not form a loop.

Motion of a Charged Particle in the Uniform Magnetic Field

Lorentz Force

Suppose the amplitude of the motion of a charged particle in a uniform magnetic field is modified so that the measured values of the two forces are identical. In that case, the net pressure applied to the free electron is zero.

• F = F(Electronic) + F(Magnetic) = q(E+v B)

Lorentz force is experienced by moving charges when they come into contact with electrical and magnetic fields. Lorentz force is a type of force that may be computed as the weighted combination of capacitive and inductive field forces.

• F(electric) = F(electric)+ (Magnetic)

We can easily see that the electromagnetism forces are pointing in the reverse direction. When the constants of E and B are modified precisely so that the intensity of the two forces is equivalent, the total pressure exerted on the full control is zero, and the particles travel influx in the field. It experiences the force which is :

F = q[E+vBsinθ]

Net Force Equals Zero

When the intensity of the electric and magnetic fields is modified to equalise the forces associated with the electromagnetic force (FE = FB), the charge can move freely in the field.

qE = qvB

 E = vB

 v = E/B

This instance is employed when alpha particles of another velocity (E/B) are used to transit undeflected between the crossing fields. This is referred to as a velocity selector. In 1897, J. Thomson used it to calculate the charge-to-mass ratio.

The velocities selector is used in mass spectrometers to identify charged particles based on their price-to-performance ratio.

Cyclotron

A cyclotron is a device that uses high energy to accelerate electromagnetic waves or ions. Cyclotrons employ both magnetic and electric fields to boost the energy of charged particles. As the electromagnetism fields are parallel, it is referred to as crossed forces.

Motion of a Charged Particle in Crossed Electric and Magnetic Field

In the context of the motion of a charged particle in a crossed electric and magnetic field, the angular momentum is parallel to the electron’s velocity. As a result, no effort is made, and there is no difference in the degree of acceleration. However, the direction of acceleration may shift. We’ll look at the speed of a photon beam in a magnetization that’s uniform. Consider the situation of v vertical to B first.

• The horizontal force, q v B, operates as a uniform circular motion, causing a circular motion parallel to the permanent magnet. If velocity has an element along with B, this fraction remains unaltered since motion along the magnetic field is unaffected.
• A charge particle’s velocity in both magnetic and electric fields. The result is a helical motion with a vastly increased pitch.
• The diameter of each cyclical element and many other regular properties such as period, oscillation, and angular velocity are the same throughout the nonlinear travel of alpha particles parallel to a magnetic field.

Motion of a Charged Particle in an Electric Field

When a force acts on a particle, it is said to produce work if a portion of the force is directed in the particle’s direction of travel. The magnetic force is applied parallel to the surface to the particle’s motion in a magnetic field under study when we have a stream of electrons bearing a charge q travelling in a uniform magnetic field B.

In this case, we claim that the magnetic force does not work on the particle, and therefore no change in the electron’s velocity can be seen.  

Conclusion

A current-carrying circuit in a magnetic field feels a force. Suppose the magnetic and current directions are approximately parallel. In that case, the force acting on the transmission line will be vertical to both, which may be computed using Fleming’s left-hand rule. When current flows through a conductor, it is displaced, indicating the presence of a force on the train operator.