In electrical engineering and physics, the Spherical Coordinate System is used to locate a point in 3D space using one distance and two angles. A point in this system is defined as \((r, \theta, \phi)\). The three coordinates are as follows: \(r\) (Radial Distance): The direct distance from the origin \((O)\) to the point \((P)\). …
Kirchhoff’s Voltage Law (KVL) is a fundamental principle in circuit analysis based on the Law of Conservation of Energy. KVL states that the algebraic sum of all voltages around any closed loop in a circuit is equal to zero. Mathematical Expression \sum V = 0 Concept In simple terms: Energy Supplied = Energy Consumed As an …
In electrical engineering, circuit elements are primarily classified into Active and Passive elements based on their ability to deliver, control, or absorb energy within a network. Active Elements Active elements are known as the “energy sources” or “energy donors” of a circuit. These elements are capable of supplying energy or providing power gain (amplification) over …
The Power-Angle Curve is a graphical representation of the relationship between the electrical power output (\(P_e\)) of a synchronous machine and its power angle (\(\delta\)). It is a fundamental tool for analyzing the steady-state stability of a power system. The electrical power transferred from a generator to an infinite bus is given by: $$P_e = …
Permutation and Combination is a fundamental topic in combinatorics, widely used in JEE Main and Advanced. It deals with counting arrangements and selections without explicitly listing them. Basic Principle of Counting: If a task can be performed in \( m \) ways and another independent task in \( n \) ways, then both together can …
The phenomenon in which a transverse voltage (Hall voltage) is developed across a conductor or semiconductor when it carries current in the presence of a perpendicular magnetic field. Principle of Hall Effect Charge carriers (electrons or holes) experience a force called Lorentz force. This force pushes carriers to one side of the conductor. As a …
A thermocouple is a widely used temperature-measuring device that converts temperature differences into an electric voltage. It is simple, reliable, and suitable for industrial and high-temperature applications. Definition A thermocouple is defined as a device consisting of two dissimilar metal wires joined at one end (hot junction), which produces an electromotive force (EMF) proportional to the …
The Seebeck effect is a fundamental phenomenon in thermoelectricity, where a voltage (electromotive force, EMF) is generated across two dissimilar conductors or semiconductors when their junctions are maintained at different temperatures. This effect is the basis of thermocouples, widely used for temperature measurement and power generation. Discovered by Thomas Johann Seebeck in 1821. Physical Principle …
The Standing Wave Ratio (SWR) is a measure of how efficiently power is transmitted from a source to a load through a transmission line. It indicates the presence of standing waves due to impedance mismatch. Definition The standing wave ratio (SWR) is defined as the ratio of the maximum amplitude of the voltage (or current) …
A uniform plane wave (UPW) is a special type of electromagnetic wave in which the electric field and magnetic field are uniform over any plane perpendicular to the direction of propagation. It is an idealized concept widely used in wave propagation, transmission lines, and antenna theory. Definition A uniform plane wave is defined as an …