Networks: Circuit Analysis Explained

Circuit analysis from Kirchhoff's laws to Thevenin and Norton equivalents, resonance and the formulas that tie them together, each worked through with real numbers. Start with the explainers for the method, then the worked questions.

Kirchhoff's laws and equivalent circuits

Kirchhoff's Current and Voltage Laws (explainer)
Thevenin's and Norton's Theorems (explainer)
Thevenin and Norton Theorems for GATE, with Solved Examples (Guide)
How Do You Find Thevenin Resistance With No Independent Source? (Worked question)

Resonance and Q

Why Does Resistance Lower Q in Series RLC but Raise It in Parallel? (Worked question)

Every formula in one place

Network Theory Formulas to Know for GATE EC and EE (Guide)

Practice and related topics

In the GATE EC syllabus

Networks is part of Section 2: Networks, Signals and Systems of the GATE 2027 EC syllabus, which lists:

Circuit Analysis: Node and mesh analysis, superposition, Thevenin's theorem, Norton's theorem, reciprocity. Sinusoidal steady state analysis: phasors, complex power, maximum power transfer.
Time and frequency domain analysis of linear circuits: RL, RC and RLC circuits, solution of network equations using Laplace transform. Linear 2-port network parameters, wye-delta transformation.

Source: GATE 2027 EC syllabus (PDF), IIT Madras. Last verified Wednesday, 7 October 2026.