Lorentz force 

The Lorentz Force is the force exerted on a charged particle as a result of the interaction of electrical and magnetic fields. A charged particle in an electric field will always be subjected to a force due to the field of magnitude F=qE, regardless of its charge. It is only when the charged particle is moving with a component of its velocity that is perpendicular to the magnetic field that the charged particle will feel the force of the magnetic field. If it goes in a straight line parallel to the magnetic field, it will not experience any force. Despite the fact that these two forces are frequently examined independently, the total of these two forces produces a force that we refer to as the Lorentz force.

What is Lorentz force? 

The movement of electrically charged particles (in most cases, electrons) through a conducting medium is ultimately responsible for the flow of an electric current along a conducting wire. Accordingly, it appears logical to assume that the force exerted on the wire when it is placed in a magnetic field is actually the resultant of the forces exerted on the moving charges in the circuit.

The direction of this force varies depending on the situation and is determined by the direction of the particle’s velocity and the magnetic field, as well as the sign of the particle’s charge on the particle. In order to recall the direction of this force, there are two methods that can be used. Both methods are versions of the “left-hand rule.”

The formula of Lorentz force 

F = q(E+V x B) 

Where, 

E – It is the external electric field

B – is the magnetic field

F – it is referred to the force whose effect takes place on the particle

q – is the particle’s electric charge

v – is the velocity

Application of Lorentz force 

A central role in a wide range of applications, ranging from electronic devices and motors to sensors and imaging to biological applications, is played by the Lorentz force. The Lorentz force is the force acting on moving charged particles in a magnetic field.

It has been demonstrated that a magnetic field can scan current and conductivity, which has a wide range of biological and medical uses, including mapping electrical activity in the brain and heart and detecting aberrant tissues such as cancers by changes in their electrical characteristics. With the development of new imaging techniques, such as magneto-acoustic imaging of current, Hall effect imaging, ultrasonically-induced Lorentz force imaging of conductivity, magneto-acoustic tomography with magnetic induction, and Lorentz force imaging of action currents using magnetic resonance imaging, the Lorentz force is playing an increasingly important role.

The Lorentz force acting on a current-carrying wire when it is in a magnetic field is as follows:

In electrical engineering, current refers to the movement of charged particles; therefore, if a wire-carrying current is placed within a magnetic field, all of the charged particles will be subjected to the Lorentz force. As a result, one would need to calculate the sum of the forces acting on the charged particles as they move. This is due to the fact that the sum of the forces acting on the charged particles in motion would equal the total force acting on the wire.

As soon as a charged particle (ion) is introduced into a magnetic field, it experiences a force that is perpendicular to the direction of the object’s speed and to the magnetic field’s direction. Based on the equations stated below, this force creates a centripetal acceleration and, as a result, a circular motion of the particle in the medium. In the absence of an electric field, the following occurs:

F magnetic = F centripetal 

qvB = mv2/r

r = mv/ qB. 

Conclusion 

The Lorentz force is the force exerted on a charged particle as a result of the interaction of electrical and magnetic fields. A charged particle in an electric field will always be subjected to a force due to the field of magnitude F=qE, regardless of its charge. If it goes in a straight line parallel to the magnetic field, it will not experience any force. The movement of electrically charged particles (in most cases, electrons) is ultimately responsible for the flow of an electric current along a conducting wire. The Lorentz force is the force acting on moving charged particles in a magnetic field. A magnetic field can scan current and conductivity, which has a wide range of biological and medical uses. New imaging techniques such as magneto-acoustic imaging of current and Hall effect imaging of conductivity are being developed.