KIRCHHOFF’S SECOND LAW

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INTRODUCTION

Kirchhoff’s second law, generally known as the law of conservation of energy, says that « in an electrical circuit, the algebraic sum of all potential differences along a closed loop is zero. »This rule is important in the construction of electrical circuits.Engineers may verify that the voltage needs of various components are satisfied by applying this law in crucial circuits.

This rule is often applied in mesh analysis, a technique for solving circuits with numerous loops.Engineers may use this rule to better understand voltage distribution, assess complicated circuits, measure voltage, and verify correct circuit performance.

KIRCHHOFF’S SECOND LAW OR VOLTAGE LAW

Kirchhoff’s subsequent(second) law is otherwise called Voltage law (OR) Loop law.

This law depends on LAW OF CONSERVATION OF ENERGY.

Kirchhoff’s subsequent law expresses that  » THE ALGEBRAIC SUM OF ALL THE POTENTIAL DIFFERENCES ALONG A CLOSED LOOP IS ZERO ».

CONVENTIONS

  • Accept any course (direction) as the heading of traversal (direction of traversal). (Either clockwise or anticlockwise)
  • EMF of the cell is POSITIVE in the event that the bearing of the crossing (direction of the traversal) is from its NEGATIVE terminal to POSITIVE terminal. (NPP)
  • EMF of the cell is NEGATIVE assuming the heading of the crossing (direction of the traversal) is from its POSITIVE terminal to NEGATIVE terminal of the battery. (PNN)
  • The IR item is taken as POSITIVE on the off chance that the resistor is crossed a similar way as the expected to be current. (If the resistor is traversed in the same direction as the assumed current.)

KIRCHHOFF’S SECOND LAW

<img src="Kirchhoff's laws.jpg" alt="Circuit diagram showing  the Kirchhoff's voltage law (KVL) or loop law explanation and the method to calculate the same. ">
Kirchhoff’s second law (KVL)

CURRENT IN EACH WIRE USING VOLTAGE LAW

Find the current in each wire using Kirchhoff’s voltage law (the second law)

<img src="Kirchhoff's law.jpg" alt="Circuit diagram showing the Kirchhoff's second law  numerical">
Kirchhoff’s second law (KVL) : Numerical

MODIFIED CIRCUIT

<img src="Kirchhoff's laws.jpg" alt="Modified circuit diagram  showing the loop law principle applied to find the current and voltage in each branch">
Kirchhoff’s second law:Numerical

SOLUTION

The altered circuit is shown above.All components are associated in series.

Here we can choose the heading of crossing(direction of traversal) as anticlockwise.
In series mix of the circuit, the current through all the components is the same.

Let the current through(consider)every one of the components be I
Presently we can apply the Kirchhoff’s subsequent law (voltage law or loop law) and executing the shows.

<img src="Kirchhoff's law.jpg" alt="Image showing  the solution for Kirchhoff's second law (KVL) and also to calculate the current and voltage in an electric circuit ">
Kirchhoff’s second law Numerical :Solution

CONCLUSION

Kirchhoff’s laws, which are based on the concept of charge and energy conservation, allow us to understand and anticipate the behavior of electrical circuits.Kirchhoff’s laws are useful tools for electrical engineers and other professionals who work with circuits.

These rules are employed in the solution of complicated circuit issues and the design of electrical systems.

  • Kirchhoff’s laws, which are based on the concept of charge and energy conservation, allow us to understand and anticipate the behavior of electrical circuits.
  • Kirchhoff’s laws are useful tools for electrical engineers and other professionals who work with circuits.These rules are employed in the solution of complicated circuit issues and the design of electrical systems.

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