Interactive math exercises — circuit basics semester 1

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Circuit Basics

An interactive book that builds circuit basics step by step from the electrical engineering lessons: circuit terms (branch, node, loop, mesh, super node and super mesh), the voltage and current dividers and the rule that current follows the smaller resistance, series/parallel and capacitor/inductor facts in DC, the essence of nodal and mesh analysis with worked examples, and Y–Δ conversions for circuits with no series or parallel — with graded exercises, hints and detailed solutions.

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Circuit terms: branch, node, loop and mesh, super node and super mesh
V
Voltage divider: from 12 V to 6 V with two equal resistors
A
Current divider: current follows the smaller resistance, and how a short cancels a parallel pair
DC
Surprising facts: series, parallel, capacitors and inductors in DC
Ω
The essence of circuit analysis: nodal and mesh analysis on a simple circuit
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Mesh analysis: voltage rises equal voltage drops, with worked examples
Y→Δ
Wye to delta conversion: the formula step by step with a worked example
Δ→Y
Delta to wye conversion: the formula step by step with a worked example
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Op-Amp basics: the symbol, the inverting and non-inverting inputs, the gain and the output limits