Lorentz Force Notes & Topics for GATE EE/IES/ISRO/BARC 2019

In this article, you will find the Study Notes on Lorentz Force which will cover the topics such as Introduction and Boundary condition for the Magnetic field. 

Lorentz force is the force on an electrically charged particle that moves through a magnetic plus an electric field. The Lorentz force has two vector components, one proportional to the magnetic field and one proportional to the electric field.

The magnetic field B is defined by Lorentz Force Law, and specifically force on a moving charge

F = q v × B

Force in electrostatic field

F = QE

Force in magneto static field

F = Q (u × B)

So, net force in electromagnetic fields

F = Q (E + u × B)

* Force experienced by a current element ldl in magnetic field B is

dF = ldl × B

* Magnetic flux density can also be defined as the force per unit current element.

* Magnetic moment

m = lSa_n

* Torque on a current loop T = m × B = lS an × B

* For linear materials, magnetization M = 

* Boundary conditions for magnetic fields

B_1n = B_2n

(H₁ – H₂) ×a_n12 = K

And H_1t = H_2t if K = 0

All the Best.

Team Gradeup!