Printable A4 and US Letter workbook
A hundred AC circuit problems that climb from sine waves and phasors to power-factor correction, resonance, filters and three-phase. Almost every problem has its circuit, waveform or phasor diagram drawn, and each has a full worked solution.
Edition 1.0, 76 pages (cover plus 75), in A4 and US Letter (2 PDFs) · ZIP with two PDFs of the same pages: one for A4, one for US Letter; prints well in greyscale
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The cover, then four pages of the A4 version. The page previews carry a "Preview" watermark. The PDFs you download have none, and the figures are vector drawings that stay sharp at any zoom.
Sine waves, RMS and phase (8 problems)
Peak, RMS and peak-to-peak of both mains supplies. Period and ω, reading a scope, RMS of square, triangle and PWM waves, average-reading meters.
Complex numbers and phasors (8)
Rectangular and polar form, multiplying and dividing phasors, sine expressions to phasors, adding sine waves, KCL with phasors.
Reactance and impedance (10)
XL and XC at 50 Hz, 60 Hz and 1 kHz, X2 capacitors on the mains, measuring a coil with DC and AC, admittance and susceptance.
RC and RL time response (8)
The 63 % rule, relay coils and flyback spikes, reset delays, switch debouncing, rise time and bandwidth, bulk-capacitor discharge.
Series and parallel AC circuits (12)
Voltage triangles, tube-light chokes, fan capacitors, dimming a lamp with an inductor, ammeter readings that do not add, three-voltmeter and three-ammeter methods.
AC power and power factor (12)
P, Q and S, complex power, sizing an inverter and a UPS, correcting a pump motor and a shop compressor, kvar correction, wattmeter versus VA.
Resonance and Q (8)
Resonant frequency, Q and bandwidth, voltage magnification, tuning the medium-wave and FM bands, a lossy tank, a resonance nobody asked for.
Filters and decibels (10)
RC low-pass and high-pass cut-offs, dB both ways, PWM smoothing, rectifier ripple filters, a speaker crossover, cascaded sections, a twin-T hum notch, Bode asymptotes.
AC network analysis (8)
Source transformation, nodal and mesh analysis, Thevenin with two AC sources, DC plus AC, maximum power into a complex load, a Maxwell bridge, delta to star.
Transformers and three-phase (10)
Turns ratio and reflected impedance, sizing a bench transformer, efficiency; 400 V star, 120/240 V split-phase, 208Y/120 V and 480Y/277 V, star and delta loads, three-phase motor current.
Challenge problems (6)
A capacitive-dropper LED lamp (analysis only), a broken neutral on 400/230 V, an open neutral on 120/240 V, the two-wattmeter method, a series resonant circuit with two lossy parts, an L-network to match an antenna.
Worked solutions and answer key
Every problem is solved step by step in its own part of the book, with an answer key for quick checking.
AC conventions and a 2-page formula sheet
RMS phasors, var, polar form, and every formula the problems need.
Students in class 12 physics (AC chapter), diploma and polytechnic electrical or electronics courses, ITI electrician and electronics mechanic trades, and first-year engineering basic electrical courses in India. It also suits US and Canadian students in community-college and first-year AC circuits courses, and hobbyists and technicians who want to work out mains and audio circuits on paper. It assumes the DC basics: Ohm’s law, series and parallel, and KVL and KCL. The DC Circuits Workbook covers those.
Everything in the pack is also free on the site, spread across these pages. The pack puts it on paper in one place:
Do the phasor chapters in order, because power factor, resonance and the filters all lean on them. The ideas are explained free in our AC Circuits, Energy Storage, Magnetism and Transformers, and DC Circuits lessons; the book puts them on paper in one place, with the problems and the full working.
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