State and explain Kirchhoff's Law.

By Ritesh|Updated : November 7th, 2022

The two Kirchoff’s laws are Kirchhoff's law of Current and Kirchhoff's law of voltage. Kirchoff's law of current states that the amount of current which flows into a node is equal to the sum of currents that flows out of it. Kirchoff's law of voltage states that the sum of voltages in a closed loop is zero.

Kirchhoff's Law

Step 1. Statement of Kirchhoff's Law

  • The conservation of electric charge is the law's guiding concept.
  • Kirchoff's Law is influenced by two laws.

Step 2. Kirchhoff law of Current

  • The conservation of electric charge is the law's guiding concept.
  • According to the legislation, the total currents leaving a node must match the total currents entering it.
  • In other words, all of the currents in a particular circuit will add up to 0 algebraically.

In general Σn = 1k = In = 0 when In is the current

Kirchhoff law of Current

Step 3. Kirchhoff's law of voltage

  • This law's guiding idea is energy conservation.
  • According to the law, the total voltage in a closed loop is zero.
  • The energy lost per unit charge is balanced out by the overall energy obtained.

VAB + VBC + VCD + VDA = 0

Kirchhoff law of voltage

The voltage decreases in all directions, whether positive or negative, and you return to the same position if you begin at any point in the loop and go in the same way. The rotation must be kept either clockwise or counterclockwise; else, the voltage value won't be zero.

Summary:

State and explain Kirchhoff's Law.

Kirchhoff's law of current and Kirchhoff's law of voltage are the two Kirchoff's laws. According to Kirchoff's law of current, the total amount of current that flows into and out of a node is equal. The sum of voltages in a closed loop is zero, according to Kirchoff's equation of voltage.

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