A circular current loop is a magnetic dipole because it behaves like a system of two equal and opposite magnetic poles, with a north pole on one face of the loop and a south pole on the other face. The direction of the magnetic poles can be determined by the right-hand thumb rule: if you … Read more
Ampère’s circuital law states that the line integral of the magnetic field along any closed loop is equal to the product of the permeability of free space and the net current enclosed by the loop. To derive this law, we need to use the Biot-Savart law, which gives the magnetic field due to a small … Read more
Energy Store In A Capacitor The energy stored in a parallel plate capacitor is electrostatic potential energy and is thus related to the charge Q and voltage V between the capacitor plates. A charged capacitor stores energy in the electric field between its plates. As the capacitor is being charged, the electric field builds up. … Read more
A capacitor is a device that can store electric charge and energy in the form of an electric field. Capacitors can be connected in different ways to form a combination of capacitors, which have an equivalent capacitance that depends on the arrangement and the individual capacitances. There are two common methods of connecting capacitors: in … Read more
A spherical capacitor is a type of capacitor that consists of two concentric spherical conductors with different radii. The inner conductor has a charge +Q and the outer conductor has a charge -Q. The capacitance of a spherical capacitor depends on the radii of the conductors and the permittivity of the medium between them. The … Read more
Gauss’s law is a law that relates the electric field and the electric charge in a region of space. It states that the net electric flux through any closed surface is equal to the total electric charge enclosed by the surface divided by a constant called the permittivity of free space. Imagine a point charge … Read more
electric field due to a dipole along the axial line To derive the electric field due to a dipole along the axial line, we can follow these steps: \(\displaystyle E_1 = \frac{1}{4\pi\epsilon_0}\frac{q}{(r-a)^2}\) The direction of \(E_1\) is along \(\vec{OP}\), where \(O\) is the origin. \(\displaystyle E_2 = \frac{1}{4\pi\epsilon_0}\frac{q}{(r+a)^2}\) The direction of \(E_2\) is along \(\vec{OP’}\), … Read more