Here I will take a top-to-bottom approach to introduce the theory of general relativity. Thus, I present from start the field equations. The field equations are extremely compact in the usual form that they are presented. This means that the equations we have to deal with are encrypted and need to be made explicit. In
In this short article, I’ll give a geometric motivation for the definition of the inner product of vectors ( also called scalar product). The objects that we will be considering are arrows in the three-dimensional space and they will be represented by Latin letters…
The Maxwell equations are a set of four partial differential equations that describe the spatial and temporal behavior of electric and magnetic fields. The sources of time-independent electric and magnetic fields are the time-independent electric charge density and the steady current density respectively. The study of electric and magnetic phenomena that do not vary in
Acceleration in special relativity is not parallel to the applied force. This is in contrast to the case of classical mechanics where Newton’s second law implies that force and acceleration are parallel by definition. In the present article, this result is derived in a simple form. Force in special relativity Recall that in special relativity
In the present article, we consider the collision of two particles , and , with at rest in the lab frame of reference before the collision. As a result of the collision one or more particles , are produced. The produced particles can be, in principle, different from the colliding ones. Such kind of reaction
In the present article, the Lorentz transformations of the space-time coordinates, velocities, energy, momentum, accelerations and forces, are presented in a condensed form. It is explained how the Lorentz transformation for a boost in an arbitrary direction is obtained, and the relation between boosts in arbitrary directions and spatial rotations is discussed. The case when
The equation is probably one of the most famous equations in the history of the physics, and its meaning has been amply discussed. However, it is generally unknown how Einstein got this beautiful result. In the present post I will show you a derivation of this equation.
In the present post I will consider the problem of calculating the electric field due to a point charge surrounded by a conductor which has the form of a thick spherical shell
I will start with some conventional problems which are relatively easy, and after that, I will consider more advanced problems. I will show you how to solve some problems that seem to be challenging.
The concepts of electric dipole, potential of dipole, pure and physical dipoles are explained.