Coulomb's Law is a fundamental law of electromagnetism that describes the relationship between electric charges and the resulting electric force between them. It states that the force between two point charges is directly proportional to the product of their charges and inversely proportional to the square of the distance between them.
A cylindrical shell is a 3-dimensional object that is formed by rotating a rectangle around its longer side. It has a curved surface and two circular bases, and its shape resembles that of a can or a tube.
This means that there is no electric field present inside the cylindrical shell. In other words, the electric field strength at any point inside the shell is equal to zero. This is a unique property of a cylindrical shell, as the electric field is typically non-zero in the space surrounding other types of charged objects.
The proof involves using the principle of superposition, which states that the total electric field at any point is equal to the vector sum of the electric fields produced by each individual charge. By considering the electric fields produced by the charges on the inner and outer surfaces of the cylindrical shell, it can be shown that the resulting electric field inside the shell is zero.
The concept of electric field zero inside a cylindrical shell has practical applications in various fields such as electrical engineering, where it is used to design and optimize electrical devices and systems. It is also relevant in the study of Earth's magnetic field, as it helps explain the lack of electric field in the Earth's interior. Additionally, this concept is important in understanding the behavior of charged particles in particle accelerators and other high-energy physics experiments.