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JEE Main 2026 Preparation: Question Papers, Solutions, Mock Tests & Strategy Unacademy » JEE Study Material » Physics » KIRCHHOFFs LAW

KIRCHHOFFs LAW

Kirchhoff developed the Laws of Closed Electric Circuits in 1845 as a result of his research. Kirchhoff's Voltage and Current Laws are the names given to these laws in honour of Kirchhoff. Understanding the principles of these laws, which apply to all electric circuits, is critical to comprehending how an electronic circuit works.

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Kirchhoff, Gustav Robert

Gustav Robert Kirchhoff, a German scientist, was born in Konigsberg, Prussia, on March 12, 1824. The conduction of electricity was his first research focus.  Kirchhoff’s rules have made him famous in the field of electrical engineering, but he also made other discoveries. He was the first to prove that an electrical impulse could travel faster than light. Kirchhoff also made significant contributions to the field of spectroscopy and expanded research into blackbody radiation.

Kirchhoff’s Laws:

Gustav Kirchhoff, a German physicist, proposed a pair of rules in 1845 that deal with current and energy conservation in electrical circuits. Kirchhoff’s Voltage and Current Law are the names for these two laws. These principles aid in determining the electrical resistance of a complex network, or impedance in the case of AC, as well as the current flow in the network’s many streams. Let’s have a look at what these laws say in the next part.

The First  Law of Kirchhoff

Kirchhoff’s First Law and Kirchhoff’s Junction Rule are two different  names for Kirchhoff’s Current Law . In a circuit, the amount of current in a junction is equal to the sum of currents outside the junction, according to the Junction rule.

Kirchhoff’s Voltage Law, often known as Kirchhoff’s Second Law or Kirchhoff’s Loop Rule, is a voltage law developed by Kirchhoff. The total of the voltages around a closed loop is null, according to the loop rule.

Kirchhoff’s First Law, often known as Kirchhoff’s Current Law, is a set of laws developed by Kirchhoff.

Kirchhoff’s Current Law states that

As no charge is lost, the total current which enters a junction or a node is always  equal to the charge leaving the node.

To put it another way, the algebraic sum of all currents entering and exiting the node must be zero. The conservation of charge property of Kirchhoff law is defined as I(exit) + I(enter) = 0.

Kirchhoff’s Current Law (Kirchhoff’s Current Law)

The currents I1, I2, and I3 entering the node are deemed positive in value, whereas the currents I4 and I5 exiting the nodes are considered negative. This can be written mathematically as follows:

0 = I1 + I2 + I3 – I4 – I5

A junction or connection of two or more current-carrying routes, such as cables and other components, is referred to as a node. Parallel circuits can also be analysed using Kirchhoff’s current law.

Kirchhoff’s Second Law, sometimes known as Kirchhoff’s Voltage Law, is a law that governs the voltage of a system.

Kirchhoff’s Voltage Law states that

For any closed network, the voltage surrounding a loop equals the sum of all voltage drops in the same loop, as well as zero.

To put it another way, the algebraic total of all the voltages in the loop must equal zero, and this property of Kirchhoff’s law is known as energy conservation.

The Voltage Law of Kirchhoff

When you start at any position in the loop and keep going in the same direction, you’ll see that the voltage declines in all directions, whether negative or positive, and you’ll come back to the same spot. It is critical to maintain either a counterclockwise or a clockwise rotation; otherwise, the final voltage value will not be zero. The voltage law can also be used to analyse series circuits.

When analysing either AC or DC circuits using Kirchhoff’s circuit rules, you must be familiar with all of the terminologies and descriptions used to define circuit components such as routes, nodes, meshes, and loops.

CONCLUSION:-

So to Conclude The current in a serial circuit remains constant but the voltage varies in proportion to the amount of load that is connected. Kirchhoff’s voltage law is applied in a series circuit, and the sum of all the voltages in the circuit is equal to zero. The voltage in a parallel circuit remains constant, but the current is divided into the several branches. Kirchhoff’s current law is used in parallel circuits to determine the current flow.

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