DC Network Theorems

 Kirchhoff’s Laws: Kirchoff's Law means Kirchoff's current law and Kirchoff's voltage law, measuring the total current and total voltage accordingly.

Kirchhoff's Current Law (KCL): 

The total current entering a junction is equal to the total current leaving the junction.
Kirchhoff's Voltage Law (KVL): 

The total voltage around any closed loop in a circuit is equal to the sum of the voltage drops.


Determination of Voltage Sign: 

Assigning polarities to voltage drops and rises in a circuit.


Assumed Direction of Current: 

Choosing a direction for current flow in a circuit.


Solving Simultaneous Equations: 

Applying mathematical methods to find solutions for systems of simultaneous equations.


Determinants: 

Mathematical tools used in solving systems of linear equations.


Solving Equations With Two/Three Unknowns: 

Techniques for solving equations involving two or three unknowns.


Independent and Dependent Sources: 

Differentiating between sources that provide a constant value (independent) and those dependent on circuit variables.


Maxwell’s Loop Current Method: 

A method for solving electrical circuits using loop currents.


Mesh Analysis Using Matrix Form: 

Applying matrix methods to solve circuits using mesh analysis.


Nodal Analysis with Voltage/Current Sources: 

Analyzing circuits using nodal analysis with different types of sources.


Source Conversion: 

Converting voltage sources to current sources and vice versa.


Ideal Constant-Voltage/Current Source: 

Understanding and analyzing circuits with ideal constant-voltage or constant-current sources.


Superposition Theorem: 

Solving linear circuits with multiple sources by considering each source separately.


Thevenin Theorem: 

Representing a complex circuit with a simplified equivalent circuit comprising a voltage source, a resistor, and a load.


How to Thevenize a Given Circuit?

Steps to find the Thevenin equivalent of a circuit.


Reciprocity Theorem: 

Stating that the ratio of currents in two branches of a linear bilateral network remains the same when sources are interchanged.


Delta/Star Transformation: 

Techniques for converting between delta (Δ) and star (Y) configurations.


Star/Delta Transformation: 

Techniques for converting between star (Y) and delta (Δ) configurations.


Compensation Theorem: 

A theorem states that if a current source is added in parallel to a branch, it compensates for the current flowing through that branch.


Norton’s Theorem: 

Similar to Thevenin's theorem, but the equivalent circuit consists of a current source, a resistor, and a load.


How to Nortanize a Given Circuit?

Steps to find the Norton equivalent of a circuit.


General Instructions for Finding Norton Equivalent Circuit: 

Step-by-step guidelines for finding the Norton equivalent circuit.


Millman’s Theorem: 

Simplifying a network of parallel branches into an equivalent circuit with a single voltage source and a single resistor.


Generalized Form of Millman's Theorem: 

Extending Millman's theorem to circuits with multiple voltage sources.


Maximum Power Transfer Theorem: 

Stating that maximum power is transferred from a source to a load when the load resistance is equal to the source resistance.


Power Transfer Efficiency: 

Evaluating how efficiently power is transferred from a source to a load.