- #1
koustav
- 29
- 4
can anyone give me the detailed mathematical deduction(proof) of kirchhoff's law?
koustav said:sorry but i mean kirchhoff's law of radiation
?detailed mathematical deduction(proof) of kirchhoff's law
Kirchhoff's Law, also known as Kirchhoff's Circuit Laws, are two fundamental principles in electrical circuit analysis that govern the behavior of electric currents in a closed circuit. They were first introduced by German physicist Gustav Kirchhoff in the mid-19th century.
The two laws of Kirchhoff's Law are the Kirchhoff's Current Law (KCL) and Kirchhoff's Voltage Law (KVL). KCL states that the algebraic sum of currents entering and leaving a node in a circuit must equal to zero, while KVL states that the algebraic sum of voltages around a closed loop in a circuit must equal to zero.
The mathematical deduction for KCL is based on the principle of conservation of charge. It states that at any point in a circuit, the total current flowing into that point must equal the total current flowing out of that point.
The mathematical deduction for KVL is based on the principle of conservation of energy. It states that the total voltage drop across any closed loop in a circuit must equal the total voltage rise in that loop.
Kirchhoff's Laws are used in circuit analysis to determine the unknown voltages and currents in a circuit, by setting up a system of equations based on KCL and KVL. These laws are also used to check the accuracy of circuit calculations and to troubleshoot circuit problems.