Kolahal Bhattacharya said:Can someone say why it is said that in electrostatics,the test charge may be moving very slowly?Specifically,what is wrong if the test charge moves at a speed which is a significant proper fraction of speed of light?
The fundamental problem in electrostatics is the question of how charges interact with each other and with external electric fields. It is a fundamental aspect of electromagnetism and helps to explain many phenomena, such as how objects can become charged and how electric fields can be created and manipulated.
Electrostatics deals with the behavior of stationary charges and their interaction with electric fields, while electrodynamics includes the study of moving charges and the creation of magnetic fields. In other words, electrostatics is a subset of electrodynamics.
Coulomb's law is a fundamental law in electrostatics that describes the force between two stationary charged particles. It states that the force is directly proportional to the product of the charges and inversely proportional to the square of the distance between them. This law is essential in understanding the behavior of electric charges and their interactions.
Gauss's law is a fundamental law in electrostatics that relates the electric field to the distribution of electric charges. It states that the electric flux through a closed surface is equal to the net charge enclosed by that surface divided by the permittivity of free space. This law is useful in solving problems involving symmetrical charge distributions.
The fundamental problem in electrostatics is the basis for many real-world applications, such as the design of electronic devices, capacitors, and electrostatic precipitators. It is also crucial in understanding natural phenomena, such as lightning, and is used in industries such as energy generation, telecommunications, and medical imaging.