Adrian R. Managbanag
BSESE 2B
Kirchhoff’s Circuit Law

Kirchhoff's circuit laws are two approximate equalities that deal with the current and voltage in electrical circuits. They were first described in 1845 by Gustav Kirchhoff. This generalized the work of Georg Ohm and preceded the work of Maxwell. Widely used in electrical engineering, they are also called Kirchhoff's rules or simply Kirchhoff's laws (see also Kirchhoff's laws for other meanings of that term).

Both of Kirchhoff's laws can be understood as corollaries of the Maxwell equations in the low-frequency limit -- conventionally called "DC" circuits. They serve as first approximations for AC circuits.

Kirchhoff’s Current Law

This law is also called Kirchhoff's first law, Kirchhoff's point rule, or Kirchhoff's junction rule (or nodal rule).

The principle of conservation of electric charge implies that:

At any node (junction) in an electrical circuit, the sum of currents flowing into that node is equal to the sum of currents flowing out of that node, or:

The algebraic sum of currents in a network of conductors meeting at a point is zero.

Recalling that current is a signed (positive or negative) quantity reflecting direction towards or away from a node, this principle can be stated as:

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n is the total number of branches with currents flowing towards or away from the node.

This formula is valid for complex currents:

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The law is based on the conservation of charge whereby the charge (measured in coulombs) is the product of the current (in amperes) and the time (in seconds).

Kirchhoff’s Voltage Law

This law is also called Kirchhoff's second law, Kirchhoff's loop (or mesh) rule, and Kirchhoff's second rule.

The principle of conservation of energy implies that

The directed sum of the electrical potential differences (voltage) around any closed network is zero, or:

More simply, the sum of the emfs in any closed loop...

...IED12102
Basic Laws:
1. 2. 3. 4. 5.
Electronic terminology Series Circuits Parallel Circuits Ohm’s Law and dc Circuits Simple Electrical Diagrams
For single-source parallel networks, the source current (I ) is equal to the sum of the individual branch currents.
s
Is = I1 + I 2
For a parallel circuit, source current equals the sum of the branch currents. For a series circuit, the applied voltage equals the sum of the voltage drops.
V...

...and Circuits
Laboratory 5
Kirchhoff’s voltage and current laws
Objective:
o Kirchhoff’s voltage law (KVL),
o Kirchhoff’s current law (KCL),
o Verify Kirchhoff’s voltage and current laws using a given circuit.
Equipment:
o Digilent Electronics Explorer Board,
o Digital Multi-Meter,
o Assorted resistors.
Theoretical support:
o Laboratory 3,
o Laboratory 4,
o Lecture...

...Kirchhoff’sLaws
Gustav Kirchhoff, (1824-1887), was a German physicist who contributed greatly to the understanding of electrical circuits, spectroscopy, and the emission of black-body radiation. Kirchhoff formulated his famous circuit laws in 1845, while still a student at the University of Konigsberg, East Prussia. He completed this study as a seminar exercise, and it later became his doctoral dissertation.
Kirchhoff’s...

...8/8/14
Physics
Kirchhoff's Current Law is one of two fundamental laws in electrical engineering, the other being Kirchhoff's Voltage Law. Kirchhoff’s Current Law is a fundamental law, as fundamental as Conservation of Mass in mechanics, for example, because Kirchhoff’s Current Law is really conservation of charge. Kirchhoff's Voltage...

...history about Ohm
Kirchoff's current and voltage laws
Ohm's law
Circuit analysis example
Bibliography
A little bit about the life and times of Gustav Robert Kirchoff:
Gustav Robert Kirchoff was a German physicist born on March 12, 1824, in Konigsber, Prussia. Gustav Kirchoff's first research topic was on the conduction of electricity. As a result of this research, Kirchoff wrote the Laws of Closed Electric Circuits in 1845. These...

...I. Title: Kirchhoff’sLaw
II. Objectives: To study the application of Kirchhoff’sLaw to a D.C. network by comparing the
observed and the computed values of the currents in the circuit.
III. Apparatus: Resistance Module, 1pc. Battery of two cells (3 volts), 1pc. Dry cell (1.5 volts),
Multitester, 4 pairs connectors
IV. Procedure with Experimental Setup:
Part A.
1.) The apparatus was arranged as in...

...Voltage: Ohm's Law and Kirchhoff's Rules
ABSTRACT
Ohm's Law and Kirchhoff's rules is fundamental for the understanding of
dc circuit. This experiment proves and show how these rules can be applied to
so simple dc circuits.
INTRODUCTION
In the theory of Ohm's Law, voltage is simply proportional to current as
illustrated in the proportionality, V=RI. As shown in this relation, V
represent voltage which is the potential...

...Opposition to AC, but not to DC, is a property known as reactance. In an AC circuit, the resistance and reactance combine vectorially to yield impedance.
Ohm's Law is the mathematical relationship among electric current, resistance, and voltage. The principle is named after the German scientist Georg Simon Ohm.
In direct-current (DC) circuits, Ohm's Law is simple and linear. Suppose a resistance having a value of R ohms carries a current of I amperes. Then the...