Solved Problems

Electric Circuits and Networks

Theory tells you which equation to write. Only problems tell you whether you can write it. Thirty-five problem sets that follow the textbook chapter for chapter — every solution worked line by line, every set closing with practice problems, challenge problems and a self-test.

Prof. Mithun Mondal GATE · ESE · University Exams Free & Open Access
3Parts
35Problem Sets
19Chapters Mapped
Welcome

A problem book, not a worked-answer list

Circuit analysis is not learned by reading. It is learned by sitting in front of a network you have never seen before, choosing a method, assigning reference directions, and grinding out the algebra until a number appears — and then asking whether that number could possibly be right. This companion to the Electric Circuits and Networks textbook exists to give you that practice several hundred times over.

Every problem here is solved in full. Not a final answer with the middle omitted, but the actual sequence of decisions: why this method rather than that one, where the reference directions were placed, which equation came from KCL and which from a constraint, and how the result was checked. Where a step commonly goes wrong, the solution says so. Where a shorter route exists, it is shown alongside the long one, because recognising the shortcut is itself the skill an examination rewards.

The thirty-five sets below cover all nineteen chapters of the textbook, from the arithmetic of a series–parallel ladder to the four parameters that describe an entire network at its terminals. The three Parts mirror the book exactly: first the DC circuits, where every equation is algebraic; then the AC circuits, where the phasor turns calculus back into algebra; then the transform methods that handle any excitation at all.

How each set is built. A short strategy recap fixes the method in three or four lines. Then the solved problems, in rising difficulty, each with its circuit drawn to scale. Then practice problems with answers you can check but solutions you must produce yourself, a small number of challenge problems that combine two or more methods, a set of multiple-choice questions of the type that appear in competitive examinations, and a closing list of the mistakes that cost marks in this topic.
Core — builds the method Exam level — GATE / ESE / university Challenge — combines methods
Part 1

DC Circuits

Chapters 1–8 · Basic Laws · Methods of Analysis · Network Theorems · Operational Amplifiers · Transients

Fundamentals and Basic Laws — Chapters 1–2

01Circuit Fundamentals 02Series–Parallel and Delta–Wye Networks 03KVL and KCL

Methods of Analysis — Chapter 3, with network topology

04Mesh Analysis 05Supermesh Analysis 06Nodal Analysis 07Supernode Analysis 08Network Topology and Graph Theory

Network Theorems — Chapter 4

09Thevenin's Theorem 10Norton's Theorem 11Superposition Theorem 12Source Transformation 13Maximum Power Transfer 14Millman, Reciprocity, Substitution and Tellegen

Operational Amplifiers — Chapter 5

15Operational Amplifier Circuits

Energy Storage and Transients — Chapters 6–8

16Fundamentals of Inductors 17Fundamentals of Capacitors 18First-Order Circuits 19Second-Order Circuits
Part 2

AC Circuits

Chapters 9–14 · Phasors · Steady-State Analysis · AC Power · Magnetic Coupling · Frequency Response

Phasors and Steady-State Analysis — Chapters 9–10

20Sinusoids and Phasors 21AC Mesh and Nodal Analysis 22Theorems in the Frequency Domain

AC Power — Chapters 11–12

23Single-Phase AC Power 24Three-Phase Power 25Two-Wattmeter Method

Magnetically Coupled Circuits — Chapter 13

26Mutual Inductance 27Linear, Ideal and Autotransformers

Frequency Response — Chapter 14

28Transfer Functions and Bode Plots 29Resonance, Quality Factor and Bandwidth 30Filters and Scaling
Part 3

Advanced Circuit Analysis

Chapters 15–19 · The Laplace Transform · Fourier Analysis · Two-Port Parameters

Laplace Transform Methods — Chapters 15–16

31The Laplace Transform and Its Inverse 32Circuit Analysis in the s-Domain

Fourier Analysis — Chapters 17–18

33Fourier Series and Circuit Response 34The Fourier Transform

Two-Port Networks — Chapter 19

35Two-Port Networks
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Start Here
Begin with Set 1 — Circuit Fundamentals

Most marks lost in circuit analysis are lost before any theorem is applied: a reference direction assigned carelessly, two resistors called parallel when a source sits between them, a prefix dropped by three decades. The first set drills exactly those habits on circuits simple enough that the arithmetic never hides the reasoning. Work it through even if it looks beneath you — the thirty-four sets that follow assume every one of these reflexes. Open Set 1 →

Reading the theory alongside. Each problem set names the textbook chapter it belongs to. If a solution uses a result you have not met, open the corresponding chapter of Electric Circuits and Networks — the derivation will be there in full.