When you sit down for the FE Electrical and Computer Engineering exam, you will spend five hours and twenty minutes working through 110 questions on circuit analysis, digital systems, signal processing, electromagnetics, power systems, electronics, and more. Nearly every equation you use will carry someone’s name—Faraday’s law, Maxwell’s equations, the Nyquist rate, Boolean algebra, Thevenin’s theorem. You have probably used these tools hundreds of times without thinking much about the people behind them.
That is worth changing. Understanding why a theorem was developed—what problem its inventor was actually trying to solve—gives you an intuitive sense of when to apply it and, just as importantly, when not to. On an exam where time is your scarcest resource, that intuition can be the difference between confidently selecting the right answer and second-guessing yourself for three minutes.
Here are ten engineers and scientists whose contributions you will almost certainly encounter on the FE ECE exam. For each one, we cover who they were, what they discovered or built, and exactly where their work shows up on test day.
1. Nikola Tesla (1856–1943) — The Man Who Gave Us Alternating Current
Nikola Tesla was born in the village of Smiljan in the Austrian Empire (modern-day Croatia) and immigrated to the United States in 1884 with little more than a letter of introduction to Thomas Edison. Within a year, the two men had a famous falling-out over the future of electrical power—Edison championed direct current (DC), while Tesla believed alternating current (AC) was the only practical way to transmit electricity over long distances. Tesla was right, and that conviction reshaped civilization.
Tesla’s key insight was the rotating magnetic field, which he conceived as a young student in Hungary before ever stepping foot in a laboratory. By feeding two or more alternating currents that are out of phase with one another into fixed stator windings, you can create a magnetic field that rotates in space—and any conductive rotor placed inside it will be dragged along by electromagnetic induction. This is the principle behind the AC induction motor, which Tesla patented in 1888 and which today drives roughly half of the world’s electricity consumption.
Tesla also developed the polyphase AC power system—generators, transformers, and transmission lines designed to work together at high voltages and long distances. His system, licensed by George Westinghouse, powered the 1893 World’s Columbian Exposition in Chicago and the first hydroelectric plant at Niagara Falls in 1896. Within two decades, AC had won the “War of the Currents” decisively, and DC distribution was obsolete for everything except niche applications.
Power systems, electric machinery, and AC circuit analysis together account for 10–15% of the FE Electrical and Computer Engineering exam. Tesla’s work underpins several high-frequency question types:
- Three-phase power: Line-to-line vs. line-to-neutral voltages, wye and delta configurations, and the √3 relationships that connect them. Know how to compute real, reactive, and apparent power in balanced three-phase systems.
- Induction motors: Slip, synchronous speed (ns = 120f/p), torque-speed characteristics, and equivalent circuit models. The FE Reference Handbook provides these formulas—practice applying them quickly.
- Transformers: Turns ratio, impedance reflection, and ideal vs. non-ideal transformer models. Tesla’s polyphase system depends on step-up and step-down transformers for efficient transmission.
2. Claude Shannon (1916–2001) — The Father of the Information Age
Claude Shannon grew up in rural Michigan, the son of a judge and a high school principal. He was a natural tinkerer—he built a telegraph line between his house and a friend’s house using barbed-wire fencing, and he constructed a model airplane that actually flew. He studied electrical engineering and mathematics at the University of Michigan, then went to MIT for graduate work, where he wrote what has been called the most important master’s thesis of the twentieth century.
In that 1937 thesis, Shannon demonstrated that the operations of electrical relay circuits could be described using Boolean algebra—the system of logic George Boole had developed nearly a century earlier purely as abstract mathematics. This single insight created the field of digital circuit design. Every logic gate, every flip-flop, every computer processor built since then rests on the foundation Shannon laid in that thesis. He showed that any computable function could be implemented by a sufficiently complex arrangement of switches, and that Boolean algebra was the language for designing those arrangements.
Shannon went on to Bell Labs, where in 1948 he published “A Mathematical Theory of Communication,” the paper that founded information theory. He defined the bit as the fundamental unit of information, established the concept of channel capacity (the maximum rate at which information can be reliably transmitted over a noisy channel), and proved that error-free communication is possible at any rate below channel capacity if you use sufficiently clever encoding. The Shannon limit remains the theoretical ceiling that every communication system—from cell networks to deep-space probes—strives to approach.
Shannon’s work spans digital systems (5–8%), signal processing (8–12%), and communications (5–8%) on the FE ECE exam—collectively 12–18% or more of the test:
- Boolean algebra and digital logic: Simplification using Boolean identities, Karnaugh maps, truth tables, and combinational logic design all descend directly from Shannon’s thesis.
- Information entropy: H = −∑ p(x) log2 p(x). The exam may test your ability to compute the entropy of a discrete source or determine channel capacity.
- Sampling and data rates: Shannon’s work on channel capacity connects to the Nyquist-Shannon sampling theorem, which defines the minimum sampling rate for faithful signal reconstruction.
3. James Clerk Maxwell (1831–1879) — The Unifier of Electricity, Magnetism, and Light
James Clerk Maxwell was a Scottish physicist who, in a span of roughly ten years, accomplished what many scientists consider the greatest theoretical achievement of the nineteenth century. Working from the experimental discoveries of Faraday, Ampère, Gauss, and others, Maxwell synthesized all known electromagnetic phenomena into a single, unified mathematical framework: Maxwell’s equations.
Published in their modern form in his 1873 treatise A Treatise on Electricity and Magnetism, the four equations describe how electric and magnetic fields are generated by charges and currents, and how changing fields create one another. Maxwell’s most stunning prediction was that these coupled fields could propagate through space as waves—and that the speed of those waves matched the measured speed of light. Light, Maxwell concluded, is an electromagnetic wave. This was confirmed experimentally by Heinrich Hertz in 1887, eight years after Maxwell’s death.
Maxwell’s equations are the foundation of everything in electrical engineering that involves fields: antennas, waveguides, fiber optics, radar, wireless communications, electromagnetic compatibility, and power transmission. Einstein called Maxwell’s work “the most profound and the most fruitful that physics has experienced since the time of Newton.” Every time you analyze a transmission line, design an antenna, or calculate the inductance of a coil, you are working within the framework Maxwell created.
Electromagnetics accounts for 5–8% of the FE ECE exam, and Maxwell’s equations are the theoretical backbone:
- Gauss’s law: ∮ D · dA = Qenc. Used to find electric fields for symmetric charge distributions (spheres, infinite planes, cylinders).
- Faraday’s law: ∮ E · dl = −dΦB/dt. The basis for transformer operation, inductance calculations, and EMF problems.
- Ampère’s law (with Maxwell’s correction): ∮ H · dl = Ienc + dD/dt. Used to find magnetic fields around current-carrying conductors.
- Wave propagation: The speed, wavelength, and frequency relationship (c = fλ) and wave impedance in free space and dielectric media.
4. Michael Faraday (1791–1867) — The Experimentalist Who Discovered Electromagnetic Induction
Michael Faraday was the son of a blacksmith, born into poverty in south London with almost no formal education. He was apprenticed to a bookbinder at age 14, and it was there—reading the books he was binding—that he developed an obsessive interest in science, particularly chemistry and electricity. In 1813, he talked his way into a position as laboratory assistant to Sir Humphry Davy at the Royal Institution. Within a decade, Faraday had surpassed his mentor and become the most celebrated experimental scientist in the world.
Faraday’s greatest discovery came on August 29, 1831, when he demonstrated that a changing magnetic field could induce an electric current in a nearby conductor. This phenomenon—electromagnetic induction—is the operating principle behind every electric generator, every transformer, and every induction motor on Earth. Faraday showed that it was not the presence of a magnetic field that mattered, but the change in that field over time. A steady magnet beside a wire produces nothing; move the magnet, and current flows.
Faraday also introduced the concept of field lines to visualize electric and magnetic fields—an idea that was initially dismissed by the mathematical physicists of his day but that Maxwell later recognized as the critical conceptual insight his own equations formalized. Faraday’s law of induction, expressed mathematically as EMF = −dΦB/dt, remains one of the most frequently applied equations in all of electrical engineering.
Faraday’s law appears across multiple FE ECE exam sections—circuit analysis, electromagnetics, and power systems:
- Inductance and inductors: V = L(di/dt). The voltage across an inductor is proportional to the rate of change of current—a direct consequence of Faraday’s law. Expect problems involving RL circuits, energy stored in inductors (W = ½LI²), and mutual inductance.
- Transformer operation: The turns ratio V1/V2 = N1/N2 follows from Faraday’s law applied to a shared magnetic core. Know ideal and non-ideal transformer models.
- Electromagnetic induction problems: Given a time-varying magnetic flux through a loop, calculate the induced EMF. Watch for sign conventions (Lenz’s law determines the direction of induced current).
5. Heinrich Hertz (1857–1894) — The Physicist Who Proved Radio Waves Exist
Heinrich Hertz was a German physicist who, in a tragically short career cut off by illness at age 36, provided the experimental proof that electromagnetic waves are real. Maxwell had predicted in the 1860s that oscillating electric and magnetic fields should propagate through space at the speed of light, but for two decades that prediction remained unconfirmed. It was Hertz who designed the experiment that settled the question.
In 1887, working at the Karlsruhe Polytechnic, Hertz built an apparatus that could both generate and detect electromagnetic waves. His transmitter was a spark-gap oscillator—two metal spheres separated by a small gap across which an induction coil forced a spark. The oscillating current in the spark created electromagnetic waves that radiated outward. Across the room, a simple wire loop with its own tiny gap served as the receiver: when the waves arrived, they induced a voltage large enough to produce a visible spark in the receiver’s gap. Hertz measured the wavelength, verified the speed matched the speed of light, and demonstrated that the waves could be reflected, refracted, and polarized—just like light.
Hertz himself famously saw no practical application for his discovery. When asked what use radio waves might have, he reportedly replied, “It’s of no use whatsoever.” He could not have been more wrong. Within a decade, Guglielmo Marconi was transmitting telegraph signals across the Atlantic, and the age of wireless communication had begun. Today, the unit of frequency—the hertz (Hz)—bears his name.
Hertz’s experimental confirmation of electromagnetic waves connects to communications (5–8%), signal processing (8–12%), and electromagnetics (5–8%) on the FE ECE exam:
- Wave propagation fundamentals: Frequency, wavelength, and speed of propagation (c = fλ). Know how to convert between frequency and wavelength in free space and in dielectric media.
- Modulation and communication systems: AM, FM, and digital modulation schemes all involve impressing information onto a carrier wave—the same type of wave Hertz first generated in his laboratory.
- Frequency and period: The relationship f = 1/T is fundamental to nearly every signal processing and circuit analysis problem on the exam. Hertz gave us the unit, and you will use it on almost every question.
6. George Boole (1815–1864) — The Mathematician Who Made Logic Computable
George Boole was the son of a shoemaker in Lincoln, England. Largely self-taught, he mastered Latin, Greek, French, and German as a teenager, then turned his attention to mathematics. By his mid-twenties he was publishing original papers on differential equations and the calculus of operators, and in 1849 he was appointed the first professor of mathematics at Queen’s College in Cork, Ireland—a remarkable achievement for someone with no university degree.
Boole’s masterwork was his 1854 book An Investigation of the Laws of Thought, in which he developed a complete algebraic system for logic. In Boolean algebra, variables take only two values—TRUE or FALSE, 1 or 0—and the operations are AND, OR, and NOT instead of addition, multiplication, and subtraction. Boole showed that any logical proposition, no matter how complex, could be expressed as a Boolean equation and manipulated using a consistent set of rules.
For nearly 80 years, Boolean algebra remained a curiosity of pure mathematics. Then, in 1937, Claude Shannon realized that the two-state nature of electrical switches (open or closed) mapped perfectly onto Boole’s two-valued algebra. The union of Boolean algebra and electrical circuits gave birth to digital electronics, computer science, and the entire information technology industry. Every AND gate, OR gate, and NOT gate in every computer ever built is a physical embodiment of Boole’s abstract mathematics.
Digital systems account for 5–8% of the FE ECE exam, and Boolean algebra is the language you need to speak fluently:
- Boolean identities: De Morgan’s theorems, distributive law, absorption law, and complement rules. The exam tests your ability to simplify logic expressions quickly.
- Karnaugh maps: A graphical method for simplifying Boolean expressions with up to four or five variables. Know how to group minterms and extract the minimal sum-of-products form.
- Logic gates and truth tables: AND, OR, NOT, NAND, NOR, XOR. Be able to trace through a circuit and determine the output for any combination of inputs.
- Combinational vs. sequential logic: Boole’s algebra describes combinational circuits (no memory). Sequential circuits (flip-flops, counters, state machines) add the dimension of time, but their core building blocks are still Boolean.
7. Oliver Heaviside (1850–1925) — The Self-Taught Genius of Transmission Lines
Oliver Heaviside was one of the most brilliant and eccentric figures in the history of electrical engineering. Born in London to a poor family, he was partially deaf from childhood due to scarlet fever and left school at sixteen. He worked briefly as a telegraph operator, then spent the rest of his life as an independent researcher, living in near-poverty in Devon while producing some of the most important theoretical work in the field.
Heaviside took Maxwell’s original equations—which Maxwell had expressed as 20 equations in 20 unknowns using quaternion notation—and reformulated them into the compact four-equation vector form that every physics and engineering student learns today. He also developed operational calculus, a method for solving differential equations using algebraic operations on derivatives. Although mathematicians of his day dismissed the technique as lacking rigor, it worked brilliantly in practice and anticipated the Laplace transform methods that are now standard in control systems and signal processing.
Perhaps Heaviside’s most practically important contribution was his analysis of transmission lines. He developed the “telegrapher’s equations”—a pair of coupled partial differential equations that describe how voltage and current propagate along a transmission line as functions of resistance, inductance, capacitance, and conductance per unit length. He showed that distortion-free transmission requires a specific relationship among these parameters (the Heaviside condition: R/L = G/C), and he proposed adding inductance to telephone lines to reduce signal distortion—a technique called “loading” that dramatically improved long-distance telephone service.
Heaviside’s work appears in circuit analysis, signal processing, and electromagnetics on the FE ECE exam:
- Transmission line equations: Characteristic impedance Z0 = √(Z/Y) = √((R+jωL)/(G+jωC)), propagation constant, reflection coefficient, standing wave ratio (SWR), and impedance matching. These are directly from Heaviside’s telegrapher’s equations.
- Laplace transforms: Heaviside’s operational calculus was the precursor to the s-domain analysis you use for circuit analysis and control systems. Transfer functions, pole-zero analysis, and inverse transforms all descend from his methods.
- Step and impulse response: The Heaviside step function u(t) is named after him and is fundamental to transient circuit analysis on the exam.
8. Harry Nyquist (1889–1976) — The Engineer Who Set the Limits of Faithful Communication
Harry Nyquist was born in Nilsby, Sweden, emigrated to the United States at age 18, and spent his entire 37-year career at AT&T’s Bell Telephone Laboratories. Quiet and methodical, he was not a household name even within engineering, but his contributions to communication theory and control systems are used every single day by engineers who may never have heard of him.
In 1928, Nyquist published a paper establishing the fundamental relationship between the bandwidth of a communication channel and the maximum rate at which it can transmit data without intersymbol interference. The key result—now called the Nyquist rate—states that a signal with bandwidth B hertz can carry at most 2B symbols per second. Equivalently, to faithfully reconstruct a signal with maximum frequency fmax, you must sample it at a rate of at least 2fmax samples per second. This is the Nyquist-Shannon sampling theorem, and it governs the design of every analog-to-digital converter, every digital audio system, and every digital communication link in existence.
Nyquist also made foundational contributions to control systems theory. His 1932 paper introduced the Nyquist stability criterion, a graphical method for determining whether a feedback system is stable by examining the open-loop frequency response. You plot the complex transfer function G(jω) as ω varies from 0 to infinity, count the encirclements of the critical point (−1, 0), and compare that count to the number of open-loop unstable poles. The system is stable if and only if the number of encirclements equals the number of unstable poles. This technique remains one of the most powerful tools in control engineering.
Nyquist’s work spans control systems (7–11%) and signal processing (8–12%) on the FE ECE exam:
- Sampling theorem: fs ≥ 2fmax. Given a signal’s frequency content, determine the minimum sampling rate to avoid aliasing. Know what happens when you violate this condition—aliased frequencies fold back into the baseband.
- Nyquist stability criterion: Given a Nyquist plot (or data to construct one), determine whether a closed-loop system is stable. The exam may ask you to count encirclements or determine gain and phase margins.
- Gain and phase margins: Gain margin is how much you can increase the loop gain before instability; phase margin is how much additional phase lag the system can tolerate. Both are read from Bode plots or Nyquist plots.
- Analog-to-digital conversion: Quantization levels, resolution, and the relationship between sampling rate and signal bandwidth.
9. Jack Kilby (1923–2005) — The Inventor of the Integrated Circuit
In the summer of 1958, Jack Kilby was a newly hired engineer at Texas Instruments. Most of the company was on a mandatory two-week vacation, but Kilby, as a new employee, had no vacation days. Left alone in the lab, he spent those two weeks working on a problem that had been nagging the electronics industry for years: the tyranny of numbers.
The problem was straightforward. Electronic systems were growing more complex every year—military systems, computers, and communication equipment required thousands of discrete transistors, resistors, and capacitors, all connected by hand-soldered wires. Each connection was a potential point of failure. As systems grew larger, reliability plummeted. The U.S. military estimated that for every 1,000 soldiers it deployed, it needed 250 technicians just to keep their electronic equipment running. Something had to change.
Kilby’s breakthrough was the realization that transistors, resistors, and capacitors could all be fabricated from the same piece of semiconductor material. On September 12, 1958, he demonstrated the first integrated circuit—a phase-shift oscillator built entirely on a single germanium chip. Robert Noyce at Fairchild Semiconductor independently developed a similar concept using silicon and a planar process that proved more practical for mass production. Together, Kilby and Noyce launched the semiconductor revolution. Kilby received the Nobel Prize in Physics in 2000 for his invention.
Electronics and semiconductor devices account for 8–12% of the FE ECE exam, and every question in that section exists because of integrated circuits:
- Semiconductor physics: PN junctions, diode characteristics (Shockley equation), and the distinction between forward and reverse bias. Understand the depletion region, built-in potential, and breakdown voltage.
- Transistor operation: BJTs (common-emitter, common-base, common-collector configurations) and MOSFETs (enhancement and depletion mode, threshold voltage, drain characteristics). Know how to bias a transistor and analyze its small-signal equivalent circuit.
- Op-amp circuits: Inverting and non-inverting amplifiers, summing amplifiers, integrators, and differentiators. These are integrated circuit building blocks, and the exam tests your ability to analyze them using the virtual short and infinite input impedance assumptions.
- Digital IC families: CMOS logic characteristics, propagation delay, fan-out, and power dissipation. Understanding how transistors form gates connects digital systems back to semiconductor physics.
10. Charles Proteus Steinmetz (1865–1923) — The Wizard Who Tamed AC Circuits
Charles Proteus Steinmetz was born Carl August Rudolph Steinmetz in Breslau, Prussia (now Wrocław, Poland). A brilliant mathematician and physicist, he fled Germany in 1888 to escape arrest for his socialist political activities and arrived in the United States in 1889 with almost no money and no English. Within a few years, he had become the most valued engineer at General Electric, where he spent the rest of his career.
Steinmetz’s great contribution was making alternating current calculable. In the 1890s, AC power was spreading rapidly thanks to Tesla and Westinghouse, but the mathematics of AC circuits was a nightmare. Voltages and currents were sinusoidal functions of time, and analyzing even a simple circuit required solving differential equations. Steinmetz solved this problem by introducing phasor analysis—the technique of representing sinusoidal quantities as complex numbers (phasors) and performing circuit analysis using complex algebra instead of differential equations.
With Steinmetz’s method, an inductor’s impedance becomes jωL, a capacitor’s becomes 1/(jωC), and a resistor’s remains R. Kirchhoff’s laws apply directly to phasors, and the entire toolkit of DC circuit analysis—node voltage, mesh current, Thevenin and Norton equivalents, superposition—can be used for AC circuits simply by working with complex numbers. He also developed the theory of hysteresis loss in magnetic materials, providing engineers with a mathematical model for the energy dissipated in transformer cores and motor laminations during each AC cycle.
Circuit analysis is the single largest topic on the FE ECE exam (10–15%), and Steinmetz’s phasor method is how you will solve the majority of AC circuit problems:
- Phasor representation: Convert sinusoidal voltages and currents to phasor form (magnitude and angle). Know how to move between time-domain expressions and phasor notation.
- Impedance: ZR = R, ZL = jωL, ZC = 1/(jωC). Combine impedances in series and parallel, just like resistors in DC circuits, but using complex arithmetic.
- Complex power: S = P + jQ = VrmsIrms*. Real power (P, watts), reactive power (Q, vars), apparent power (|S|, VA), and power factor (cosθ). The exam frequently tests power calculations in AC circuits.
- AC analysis techniques: Node voltage, mesh current, Thevenin/Norton equivalents, and superposition—all applied in the phasor domain. If you are comfortable with DC circuit analysis, Steinmetz’s phasor method lets you extend those skills directly to AC.
What These Engineers Have in Common
These ten individuals worked across three centuries, on three continents, and in subdisciplines ranging from pure mathematics to hands-on laboratory experimentation. But they share several qualities worth noting as you prepare for your own engineering career:
- They mastered the fundamentals. Tesla understood electromagnetic induction so deeply that he could design an AC motor in his head before touching a workbench. Shannon saw that switching circuits and Boolean algebra were the same thing. Steinmetz recognized that complex numbers could transform an intractable problem into a routine one. In every case, deep understanding of basics led to breakthrough insights.
- They connected theory to practice. Maxwell’s equations predicted radio waves; Hertz proved them real; Kilby turned semiconductor physics into integrated circuits. The FE exam tests your ability to make the same kind of connection—to take a formula from the reference handbook and apply it to a concrete engineering problem.
- They persisted through difficulty. Faraday had no formal education. Heaviside was deaf and lived in poverty. Steinmetz fled political persecution. Kilby was a new employee with no vacation days. The FE exam is hard, but it is a well-defined challenge with a clear path through it.
- They never stopped learning. Shannon built chess-playing machines and juggling robots after founding information theory. Nyquist was still publishing important papers in his sixties. Engineering is a profession of continuous learning, and the FE exam is just the beginning.
Your Turn
You are studying the same circuit analysis, the same electromagnetics, the same signal processing, and the same digital logic that these engineers used to build the electrical infrastructure and information systems we depend on. The formulas in your FE Reference Handbook are not abstract—they are the distilled insights of people who discovered electromagnetic induction, proved radio waves exist, tamed AC circuits with phasors, and built the first integrated circuit on a single chip of germanium.
Passing the FE exam is your first professional milestone. It demonstrates that you have the foundational knowledge to begin solving the problems that matter. These ten engineers show where that foundation can take you.
Frequently Asked Questions
Do I need to know engineering history for the FE Electrical exam?
The FE Electrical and Computer Engineering exam does not test history directly. However, many core formulas and theorems carry their inventors’ names—Faraday’s law, Maxwell’s equations, the Nyquist rate, Boolean algebra. Understanding the context behind a formula helps you remember when and how to apply it under exam pressure.
Which FE ECE exam topics are covered by the engineers in this article?
The ten engineers discussed connect to nearly every major FE Electrical and Computer Engineering topic: power systems, AC circuit analysis, digital systems, signal processing, communications, electromagnetics, control systems, electronics, and semiconductor devices. Together these topics account for over 70% of the exam.
Disclaimer: This content is for educational purposes only and is not affiliated with, endorsed by, or sponsored by NCEES. “FE” and “Fundamentals of Engineering” are trademarks of NCEES. Always refer to the official NCEES website for the most current exam specifications and policies.
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