WAZIPOINT Engineering Science & Technology: DC Network Theorems

## Sunday, January 21, 2024

### 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.