
Explore the fundamentals of electronics, from circuits and essential components to using mathematics, simulators, and bench test instruments like the multimeter and oscilloscope to design, test, and troubleshoot breadboard circuits.
Master electronics hardware for this course, including breadboards, jumper wires, a lab notebook, power supplies, and a multimeter, plus resistors, capacitors, inductors, LEDs, a push button, and a 10k potentiometer.
Learn to design, simulate, and analyze circuits using Circuit Lab as the primary browser-based simulator, with alternatives like every circuit, Ltspice, and Tinkercad to visualize voltage, current, and power.
Follow a linear electronics course from basics to advanced topics, supported by pen-and-paper exercises, simulations with circuit lab, and hands-on breadboard experiments to design and troubleshoot circuits.
Explore electronic circuits, the pathways for electrons built from resistors, capacitors, diodes, transistors, and integrated circuits. Learn how linear and digital circuits differ and how voltage drives devices.
Describe electricity as energy from the presence and flow of electric charge, including static electricity, current electricity, and electromagnetic waves, driven by voltage and measured by amperes in conductors.
Explore direct current and alternating current, their flow directions and frequencies, and their applications, from dc in devices and solar systems to ac in power grids and transformers.
Learn how resistors limit or regulate current in circuits, ensuring other components receive the correct current, with resistance expressed in ohms and color bands used to read values.
Diodes control current flow in one direction, enabling rectification of alternating current to direct current and protecting circuits from reverse voltage, governed by the diode threshold voltage.
Power electronic devices with circuit boards that host copper tracks, a fiberglass substrate, solder mask, silkscreen, and soldered resistors, capacitors, and integrated circuits.
Examine voltage, current, and resistance as core circuit concepts, and apply Ohm's law, I equals V divided by R, to understand how a battery drives current.
Apply Ohm's law to determine the voltage for a circuit with a five-ohm resistor and two amps, yielding ten volts.
Explore how to use an online circuit simulator to build a simple circuit with a voltage source and a resistor, connect ground, and measure current and power.
Compare a three-resistor series circuit with an equivalent 45-ohm resistor in the simulator, observe identical currents, and verify with an ammeter as voltage updates.
Learn how voltage dividers in series circuits distribute voltage for scaling and biasing transistors or operational amplifiers, and how current dividers in parallel circuits allocate current with Ohm's law.
Explore a voltage divider with resistors R1 and R2, from a 12V source, using v1 = Vin times R1/(R1+R2) and v2 = Vin times R2/(R1+R2) to yield 4V and 8V.
Learn how a current divider with two parallel resistors and a current source distributes current, using I1 = I * R2/(R1+R2) and I2 = I * R1/(R1+R2).
Explore a current divider in the simulator using a 10-amp current source and 6 ohms and 3 ohms resistors, with amp meters measuring each branch.
Explore essential breadboard tools and components for prototyping, including power rails, jumper wires, resistors, capacitors, LEDs, transistors, and integrated circuits.
Handle components by the plastic housing to avoid oil damage, and check the polarity of LEDs before placing them on the breadboard. Bend leads outward for a snug, secure connection.
Use a basic digital multimeter to measure voltage, current, and resistance at circuit junctions, troubleshoot wiring issues, and check batteries.
Identify the display, selection dial, and input jacks of a multimeter, and see how digital models use auto ranging and select measurements like voltage, current, and resistance.
Explore fundamental concepts for designing and analyzing electrical circuits, including Kirchhoff's laws, the superposition theorem, Nevins and Norton's theorems, maximum power transfer, mesh, and nodal analysis.
Explore Kirchhoff's laws to analyze circuits, applying KCL for node current conservation and KVL for zero net voltage around loops, illustrated with voltage sources and drops.
Apply KCL to a node in a circuit with three resistors; solve for i3 using i1 = 2 amps and i2 = 3 amps by equating in and out.
Apply Kirchhoff’s voltage law to a 10-volt series circuit with 2 ohm and 3 ohm resistors, computing current and voltage drops, then summing to the source.
Recreates the pen-and-paper experiment in a circuit simulator to verify Kirchhoff’s voltage law by showing a 10-volt source, 2-ohm and 3-ohm resistors, and drops that sum to the source.
build a real 9-volt circuit on a breadboard, using 3 kΩ and 6 kΩ resistors, measure voltages and current with a multimeter, and verify Kirchhoff's voltage law.
Define a loop as a closed, unbroken path for current. Apply Kirchhoff’s voltage law: the loop’s drops sum to zero across resistors, capacitors, inductors, and voltage and current sources.
Explore a two-loop KVL example with a shared 1 kΩ resistor, 9 V and 6 V sources, and 2 kΩ and 3 kΩ resistors; derive currents i1, i2, i3.
Apply kvl and loop concepts by building a two-source, three-resistor circuit in the simulator, verify currents against manual calculations, and use ammeters for real-time readings.
Apply the superposition theorem to simplify complex circuits by analyzing each component individually and combining results, enabling practical design, troubleshooting, and reliable circuit performance through real-world examples.
Apply the superposition theorem to a two-resistor circuit with two voltage sources, calculating currents in R1 and R2 by deactivating sources and summing results.
Verify the superposition theorem by directly measuring currents and voltages in a three-resistor circuit with two voltage sources, then compare sums to direct measurements for accuracy.
Apply Thevenin's theorem to simplify any linear circuit to an equivalent single voltage source in series with a resistance, enabling easy calculation of load current with Ohm's law.
Explore linear circuits with proportional voltage and current, obeying Ohm's law for resistance. Learn the superposition principle and homogeneity, and see how the Nevins theorem applies only to linear circuits.
Learn to measure vth and rth on a breadboard with a multimeter, converting a t-style circuit (r1=1k, r2=2k, r3=1k, load 1k) to an equivalent with a 7-volt supply.
Apply Thévenin's theorem to determine the equivalent circuit for a three-resistor network with a load, compute open-circuit voltage at AB, and total Thevenin resistance.
The maximum power transfer theorem states that maximum power occurs when the load equals the source's internal resistance. Use Thevenin impedance (V_th in series with R_th) to optimize power delivery.
Demonstrate the maximum power transfer with a 12 V source and 4 ohms resistance. Apply Ohm's law to compute current and show Pmax when RL = R_th, yielding 9 watts.
Demonstrate the maximum power transfer theorem by building a 1 kΩ fixed resistor with a variable load using a potentiometer, and record voltage and resistance data.
Explore Norton's theorem, replacing a linear network with a current source in parallel with a resistance, and follow the workflow: identify load, find Norton current and resistance, form Norton equivalent.
Niven's theorem and Norton's theorem simplify networks by replacing them with equivalent circuits: a voltage source in series with a resistor, or a current source in parallel with a resistor.
Apply Norton’s theorem to a circuit with R1, R2, R3 to find the Norton current and Norton resistance, 6.44 mA and 500 Ω, respectively.
Build a breadboard circuit to measure the Norton current and Norton resistance. Use resistor combinations and a seven-volt supply to derive Norton equivalent, yielding 1.239 milliamps and 0.495 kilo ohms.
Master mesh analysis, the mesh current method, by applying Kirchhoff's voltage law to planar circuits, identifying meshes, assigning clockwise currents, and solving the resulting equations.
use mesh analysis to calculate currents in a two-loop circuit with two voltage sources and three resistors, solving for i1 and i2 with kvl and algebra.
Explore nodal analysis, the node voltage method, to determine voltages at circuit nodes relative to ground by applying KCL and solving the node equations.
Compare mesh analysis and nodal analysis for electrical circuits, showing how KVL and mesh currents versus KCL and node voltages determine equations, with advantages for planar circuits and few-node networks.
Identify node b and ground, apply nodal analysis and kcl to solve for vb, then compute voltage drops across r1, r2, and r3 using ohm's law.
Explore how capacitors store energy, filter noise, and shape timing in RC circuits and power supplies. Learn about AC coupling, decoupling, and RF tuning that affect frequency response.
Explore electrolytic, ceramic, and tantalum capacitors, highlighting their polarized or non-polarized nature, high capacitance, small package options, and use cases in power supplies, signal processing, rf applications, and space-constrained designs.
Explore capacitor symbols in circuit diagrams, including non-polarized, polarized, electrolytic, and variable types, with ANSI and IEC standards shaping their symbols, including plus signs and arrows.
Explore how parallel capacitors increase total capacitance and series capacitors follow the inverse law to reach a desired value, with practical examples.
Discover how to compute the total capacitance of capacitors in parallel by summing c1, c2, and c3, yielding a single equivalent capacitor for circuit simplification, and previewing a series configuration.
Compute the equivalent capacitance for three capacitors in series using the reciprocal formula by summing reciprocals, yielding a total of 5.45 microfarads to replace the circuit.
Learn to measure capacitance with a digital multimeter by selecting the capacitance range, safely discharging the capacitor, connecting leads, and comparing readings to the rated value.
Measure the total capacitance of three capacitors in series and in parallel with a multimeter, note nominal values and tolerance, and compare to the series formula calculations with parasitic effects.
Connect three capacitors in parallel on a breadboard and measure total capacitance with a multimeter, showing that parallel capacitances add up, with slight parasitic capacitances and close agreement to calculations.
Explore how resistors and capacitors form RC circuits, where capacitors store energy and resistors limit current to create voltage responses and time constants for filters, timing circuits, and signal processing.
Observe how a capacitor charges in a simple rc circuit using a simulator. Measure voltage and current over time and note the rc time constant.
Explore how a capacitor blocks dc current in an rc circuit using a simulator, observe ammeter readings, and analyze capacitor voltage when fully charged via Ohm's law.
Compute the capacitor voltage in an RC circuit by applying Ohm's law to series resistors R1 and R2 with a 9-volt source, confirming 818.2 millivolts through calculation and simulation.
Compute capacitance by parallel and series combinations. Find C2 and C3 in parallel for 230 μf, then combine in series with C1 to yield 6.99 μf at A and B.
Operate a bench RC circuit with a 47 microfarad electrolytic capacitor and a 10 kiloohm resistor to an 8-volt source. Measure charging with a voltmeter, then discharge with a jumper.
See current behavior in a simple RC circuit as a capacitor charges and discharges, measured in series with a multimeter, with current through the resistor starting high and decaying.
Observe the capacitor voltage over time on an oscilloscope as it charges and discharges, using two probes, triggering with a button, and measuring with cursors to visualize rc behavior.
Study the RC circuit time constant TOF, which governs charging to about 63.2% and discharging to about 36.8% of voltages, guiding filter design and timing.
Determine the rc time constant of a 47 µf capacitor and 10 kΩ resistor with 8 v source by observing 0 to 5.1 v (63.2%), using a multimeter and oscilloscope.
Use an oscilloscope to measure the RC time constant with a 1 kilo ohm resistor and smaller capacitor, observing charging and obtaining about 11 ms.
Explore how the 63.2% time constant arises from the exponential function in RC and RL circuits, showing how one time constant governs transient charging and five time constants yield 99%.
Explore how inductors store energy in magnetic fields, resist changes in current, and use inductance L in henries to enable filtering, energy storage, transformers, tuning circuits, and inductive sensors.
Explore inductor types—air core, iron core, toroidal, and solenoid coils—and their roles in high frequency signals, power supplies, and audio equipment.
Explore inductors and capacitors as passive energy storage components that use magnetic and electric fields, resist changes in current or voltage, and together create filters and resonant circuits.
Rl circuits combine resistor and inductor; the inductor resists current changes and stores energy. The time constant is inductance over resistance, and current reaches about 63.2% after one constant.
Explore methods to measure inductance, including LCR meters and signal generator with an oscilloscope or resonant frequency tests, accounting for calibration, parasitic ESR, and electromagnetic interference at high frequencies.
Three in-character experiments on a simulator and bench teach measuring parasitic resistance in a resistor-inductor circuit, calculating inductance of inductors, and determining resistor currents with one inductor via a multimeter.
Repeat the circuit to calculate the parasitic resistance of the inductor by measuring current and voltage drop, then apply ohm's law to compute about 0.6 ohms.
Compute the equivalent inductance of three inductors by paralleling L2 and L3 to form L23, then placing it in series with L1 to yield 109.56 μH.
Explore current and voltage calculations in a circuit with a voltage source, two resistors and an inductor, comparing ideal behavior to a non-ideal 63 Ω inductor and equivalent resistance.
Explore the fundamentals of electrical signals, including ac and dc, and learn to characterize sinusoidal, triangular, and square waves. Master the waveform, equations, and properties used to describe signal behavior.
Explore alternating current and its periodic direction changes, enabling efficient long-distance transmission via transformers and voltage conversion in homes and industries, with characteristics like frequency, amplitude, phase, and symmetry.
Explore sinusoidal waves, smooth periodic oscillations central to electronics, with amplitude, period, frequency, and phase relations in degrees or radians, useful for testing and signal processing.
Square waves alternate between high and low voltage, enabling digital circuits to switch on and off and transmit binary information, while highlighting duty cycle, amplitude, periodicity, and odd harmonics.
Master triangular waves, which linearly rise and fall with 50% duty cycles. Learn generation via integrators or manipulating square waves and their use in function generators and audio synthesis.
Learn to read a sinusoidal signal plot by extracting dc offset, amplitude, and period, compute the frequency, and estimate phase shift from a time delay, showing lag versus lead.
Learn how an oscilloscope visualizes voltage over time, interprets waveforms, and helps troubleshoot circuits, with hands-on setup and key specs like bandwidth, sample rate, and resolution.
A digital oscilloscope visualizes signals as waveforms, showing amplitude, frequency, phase shift, and distortion for time-domain analysis and precise measurements of voltage, intervals, and duty cycle to verify circuit performance.
Connect the oscilloscope probes to the channel input with proper grounding, select AC or DC coupling, adjust vertical scale and timebase, and set triggers for a stable waveform.
Interpret oscilloscope waveforms by analyzing rise and fall times, amplitude, frequency, and phase shift to assess signal integrity and timing in electronic circuits.
Explore how oscilloscopes diagnose and optimize power electronics, sensors, and audio/video systems by analyzing waveforms, signal quality, and fault conditions across circuits.
This lecture demonstrates manual estimation of oscilloscope signals by comparing two sine waves to derive frequency, peak-to-peak voltage, DC offset, and a phase shift.
Explore how function generators produce sine, square, triangular, and sawtooth waveforms, control frequency and amplitude, and enable signal analysis and circuit debugging in electronics labs.
Power up the signal generator, connect the output with a BNC coaxial cable, select waveform, set frequency and amplitude, adjust duty cycle, enable output, and test with an oscilloscope.
Discover how resistors in AC circuits show impedance equal to resistance, remain frequency independent, keep voltage and current in phase, with Ohm's law and rms current used to calculate power.
Explore formulas for resistors in a sinusoidal ac circuit, including v(t)=v0 sin(ωt), i(t)=v0/r sin(ωt), peak and rms values, and ac ohm's law relationships.
Build a breadboard divider powered by a 1 volt peak-to-peak sine wave; measure input and junction voltages with an oscilloscope across 1 to 5 kHz to show no phase shift.
Explore how capacitors in AC circuits exhibit frequency dependent impedance, causing current to lead voltage by 90 degrees and enabling filtering, coupling, and tuning.
Coupling capacitors transmit AC signals between circuit stages while blocking DC, enabling different DC bias levels. Decoupling capacitors remove high-frequency noise from power supplies to stabilize the circuit.
Calculate capacitor values to keep reactance under 100 ohms in an ac circuit, using Xc = 1/(2πfC); determine C at 60 Hz, 1 kHz, 40 kHz, and 100 kHz.
Demonstrates how a single capacitor on a breadboard rejects the DC component of a sine wave with offset, leaving an AC signal centered around zero.
Explore transformer coupling via inductors for energy transfer, impedance matching, and isolation in alternating-current circuits; analyze inductive reactance, its frequency and inductance dependence, and the current lags by 90 degrees.
Measure the phase shift of a simple RL circuit at 50 kHz with an oscilloscope and signal generator. The grid method estimates about 18 degrees, matching the oscilloscope's -18.17 degrees.
Compute reactance in a 10khz ac rl circuit for a 100 microhenry inductor using xl = 2π f L, then analyze phase shift with 10 ohm and 10 kiloohm resistors.
Calculate the phase shift of an rl circuit using theta = arctan(reactance over resistance) for 10 ohm and 10 kilo ohm resistors, showing the shift from about 32° to 0.36°.
Introduction to Electronics: A Beginner's Course
If you want to build electronic projects, sooner or later you'll need to understand how electronic circuits work.
Whether your interest is Arduino, Raspberry Pi, robotics, PCB design, embedded systems, or electronics as a hobby or career, everything begins with the fundamentals. Understanding voltage, current, resistance, and power will make every future project easier to design, build, and troubleshoot.
This course was created to give you that foundation.
We'll start at the beginning with the basic concepts of electricity and electronic circuits. From there, we'll gradually build your knowledge and practical skills through a combination of clear explanations, worked examples, circuit simulation, mathematical analysis, and hands-on experiments.
Electronics is a practical subject. Reading about circuits is useful, but you'll learn far more by building them, measuring them, and understanding why they behave the way they do. Throughout this course you'll work with breadboards, electronic components, a digital multimeter, circuit simulation software, an oscilloscope, and a function generator to reinforce the concepts you learn.
Along the way you'll learn how to:
Understand voltage, current, resistance, and power.
Apply Ohm's Law and Watt's Law to real circuits.
Build and test circuits on a breadboard.
Measure voltage, current, and resistance safely with a digital multimeter.
Analyse series and parallel circuits, voltage dividers, and current dividers.
Apply Kirchhoff's Laws, Thévenin's Theorem, Norton's Theorem, Superposition, and Maximum Power Transfer.
Understand capacitors, inductors, and AC circuits.
Work with diodes and bipolar junction transistors (BJTs).
Use circuit simulation software to test ideas before building them.
One of the goals of this course is to help you develop the mindset of an engineer.
Building and testing electronic circuits isn't always straightforward. Sometimes a circuit won't work the first time, your measurements won't match your calculations, or you'll spend time tracking down a simple wiring mistake. That can be frustrating, but it's also a normal part of engineering.
Rather than seeing these moments as setbacks, I encourage you to see them as opportunities to learn. Every problem you investigate, every measurement you take, and every fault you diagnose strengthens your understanding and builds your confidence.
Take the time to think through problems methodically. Compare your calculations with your measurements, check your wiring carefully, and change one thing at a time. Resist the temptation to immediately search online or ask AI for the answer. These tools can be useful, but they can also rob you of the opportunity to develop the judgement and problem-solving skills that every engineer relies on. Learning to investigate, test, and persevere is one of the most valuable outcomes of this course.
The course contains more than 140 lectures, practical demonstrations, simulations, worked examples, quizzes, and downloadable resources. Each topic builds naturally on the previous one, allowing you to steadily develop your understanding without feeling overwhelmed.
I'm Dr Peter Dalmaris, an educator and engineer who has taught hundreds of thousands of students around the world. I'm the author of Maker Education Revolution and the bestselling KiCad Like a Pro series, and I've presented at Elektronika with Elektor, Maker Faire Athens, and KiCon Asia. My goal is simple: to help you understand not just how electronic circuits work, but why they work.
Whether you're a maker, student, hobbyist, STEM educator, or aspiring engineer, this course will provide a solid foundation for future learning in Arduino, embedded systems, robotics, PCB design, and electronics engineering.
I look forward to helping you begin your journey into electronics.