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Circuit Analysis

Systematic methods and theorems for solving any linear circuit — nodal and mesh analysis, Thevenin, Norton and superposition.

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With Ohm's law and Kirchhoff's laws (see Electronics → Fundamentals) you can solve any circuit, but for larger networks you need systematic methods and network theorems that keep the algebra manageable.

Sub-topics (9)

Nodal Analysis

Write KCL at every node using node voltages as unknowns.

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Mesh Analysis

Write KVL around every mesh using mesh currents as unknowns.

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Superposition Theorem

In a linear circuit, the response to several sources is the sum of the responses to each source acting alone.

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Thevenin's Theorem

Any linear two-terminal network can be replaced by one voltage source in series with one resistance.

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Norton's Theorem

Any linear two-terminal network can be replaced by a current source in parallel with a resistance.

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Star-Delta Transformation

Convert between star (Y) and delta (Δ) resistor networks to simplify bridges and three-phase loads.

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Transient Analysis

How RC, RL and RLC circuits respond when a switch opens or closes.

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Two-Port Networks

Describe a network by its relationship between input and output voltages and currents — Z, Y, h and ABCD parameters.

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