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Study guide · Last updated November 2026

FCC Element 3 (GROL) Exam Study Guide (2026)

Everything the FCC Element 3, General Radiotelephone Operator License (GROL) tests, topic by topic: what each section covers, the facts that come up most, and how to study it. Pair it with the free 15-question practice test.

The exam at a glance

Questions100 multiple-choice questions, one from each of the 100 key topics in the published 600-question Element 3 pool (approved 25 June 2009). The GROL also requires Element 1 (24 questions)
TimeNo time limit is set by the FCC; each COLEM sets its own session length
Passing scoreAt least 75 of 100 correct (75%). Element 1 needs 18 of 24
FormatClosed book: the FCC does not allow reference materials. The FCC doesn't publish a calculator rule, so ask your COLEM. Written exam only. This practice set covers Element 3; Element 1 has its own practice set on this site
Certifying bodyFederal Communications Commission (FCC), Wireless Telecommunications Bureau
Test providerFCC-authorized Commercial Operator License Examination Managers (COLEMs), in person or online depending on the COLEM; the FCC does not give the exam itself

Mind map: the whole exam on one screen

FCC Element 3 (GROL)
Electrical Principles and Math
Charge reached after one RC time constantResonant frequency formulaRMS value of a sine waveWavelength formula
Components and Circuits
Inverting op-amp gainTransformer impedance ratioZener current in a shunt regulatorNon-inverting op-amp gain
Digital Logic and Communications Technology
Gate that is LOW only when all inputs are HIGHDivide ratio of four cascaded toggle flip-flopsFree-running multivibratorGate that is HIGH only when inputs differ
Receivers, Transmitters and Modulation
8 key facts
Power Sources, Antennas and Feed Lines
7 key facts
Aircraft Radio Navigation
7 key facts
Installation, Test Equipment and Safety
7 key facts
Marine, Radar and Satellite Systems
8 key facts
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Read the complete FCC Element 3 (GROL) study notes for “Electrical Principles and Math”

Our first full set of comprehensive notes, about 16 minutes of reading: Ohm's law and power · AC values, frequency and wavelength · Time constants · Reactance, impedance and resonance · Decibels, a worked exam example, the traps examiners use and a one-minute recap. Create a free account to read it and see how premium notes work before you decide.

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1. Electrical Principles and Math

Pool Subelements 3A Principles (8 questions) and 3B Electrical Math (10 questions): 18 of 100. Ohm's law, power, frequency and wavelength, waveforms, RC time constants and impedance networks.

Key facts

  • Ohm's law: E = I × R. Power: P = E × I = I² × R = E² ÷ R.
  • RMS = 0.707 × peak for a sine wave; peak = 1.414 × RMS; peak-to-peak = 2 × peak. Use RMS values for average power.
  • RC time constant τ = R × C: a capacitor charges to about 63.2% in one τ and is effectively full after five.
  • Resonance: f = 1 ÷ (2π√(LC)); at resonance X_L = X_C. A series circuit has minimum impedance, a parallel circuit maximum.
  • Wavelength in meters = 300 ÷ frequency in MHz.
  • Series resistors add; parallel: 1 ÷ R_total = Σ(1 ÷ R). Capacitors combine the opposite way.
  • Decibels for power: dB = 10 log(P2 ÷ P1). 3 dB doubles or halves power; 10 dB is ten times.
  • Impedance of series R and X: Z = √(R² + X²); X_L = 2πfL and X_C = 1 ÷ (2πfC).

Flashcards

Charge reached after one RC time constantAbout 63.2%.
Resonant frequency formulaf = 1 ÷ (2π√(LC)).
RMS value of a sine wave0.707 × peak.
Wavelength formulaλ (m) = 300 ÷ f (MHz).

Exam tip: Write every value in base units with powers of ten before you calculate. Most wrong answers in the pool are off by exactly a power of ten.

2. Components and Circuits

Pool Subelements 3C Components (10 questions) and 3D Circuits (4 questions): 14 of 100. Capacitors, transformers, Zener diodes and regulators, SCRs and triacs, diodes, transistors, LEDs, op amps, PLLs and schematics.

Key facts

  • Transformer: voltage ratio equals turns ratio; impedance ratio equals turns ratio squared.
  • A Zener diode holds a fixed reverse voltage; series resistor current equals Zener current plus load current.
  • An SCR conducts once triggered at the gate and stays on until anode current falls below holding current; a triac conducts in both directions.
  • Bipolar transistor configurations: common emitter (voltage and current gain, phase inversion), common collector or emitter follower (impedance matching, no voltage gain), common base (high-frequency use).
  • LEDs need a series current-limiting resistor: R = (V_supply − V_LED) ÷ I.
  • Inverting op amp gain = −Rf ÷ Rin; non-inverting gain = 1 + Rf ÷ Rin.
  • A phase-locked loop compares a VCO with a reference in a phase detector and filters the error to steer the VCO; a divider in the loop makes a frequency synthesizer.

Flashcards

Inverting op-amp gain−Rf ÷ Rin.
Transformer impedance ratioTurns ratio squared.
Zener current in a shunt regulatorSeries resistor current minus load current.
Non-inverting op-amp gain1 + Rf ÷ Rin.

Exam tip: For circuit questions, find what is fixed (a Zener voltage, a feedback ratio) first. The rest follows from Ohm's law.

3. Digital Logic and Communications Technology

Pool Subelements 3E Digital Logic (8 questions) and 3M Communications Technology (3 questions): 11 of 100. Logic families and gates, logic levels, flip-flops, multivibrators, memory, microprocessors, counters and converters, plus transmission types, coding and multiplexing.

Key facts

  • AND: HIGH only when all inputs are HIGH. OR: HIGH when any input is HIGH. NAND and NOR are their inverses; XOR is HIGH when inputs differ.
  • NAND and NOR are universal gates: any logic function can be built from either one.
  • Flip-flops store one bit; a JK flip-flop with both inputs HIGH toggles on each clock pulse, so a chain divides frequency by two per stage.
  • Multivibrators: astable (free-running oscillator), monostable (one-shot pulse), bistable (flip-flop).
  • RAM is volatile read/write memory; ROM, EPROM and flash keep data without power.
  • An n-bit counter or converter has 2ⁿ states; an 8-bit converter resolves 256 levels.
  • Multiplexing shares one channel among many signals by time (TDM), frequency (FDM) or code (CDMA).

Flashcards

Gate that is LOW only when all inputs are HIGHNAND.
Divide ratio of four cascaded toggle flip-flops16 (2⁴).
Free-running multivibratorAstable.
Gate that is HIGH only when inputs differExclusive-OR (XOR).

Exam tip: Draw a two-input truth table for every gate question. It takes ten seconds and removes the guesswork.

Test yourself on these topics

Take the free 15-question FCC Element 3 (GROL) test, then save your results to unlock your Readiness Score and the mistakes bank.

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4. Receivers, Transmitters and Modulation

Pool Subelements 3F Receivers (10 questions), 3G Transmitters (6 questions) and 3H Modulation (3 questions): 19 of 100, the largest group. Superheterodyne stages, oscillators, mixers, IF and filters, detectors, squelch, amplifier classes, SSB generation and FM, SSB and pulse modulation.

Key facts

  • Superheterodyne: the mixer combines the signal with a local oscillator to produce a fixed IF; image frequency = signal ± 2 × IF, rejected by RF stage selectivity.
  • Sensitivity is the weakest usable signal; selectivity is the ability to reject adjacent signals, set mainly by IF filters.
6 more key facts, 8 key notes, 100 flashcards and 375 practice questions for this topic are in premium.

Flashcards

Image frequencySignal frequency ± 2 × IF.

Exam tip: This group is almost a fifth of the exam. Trace a signal through a block diagram, RF amp to mixer to IF to detector to audio, until you can name each stage's job.

5. Power Sources, Antennas and Feed Lines

Pool Subelements 3I Power Sources (3 questions) and 3J Antennas (5 questions): 8 of 100. Batteries, motors and generators, antenna theory, voltage and current distribution, bandwidth, transmission lines and effective radiated power.

Key facts

  • Cells in series add voltage at the same capacity; cells in parallel add capacity (amp-hours) at the same voltage.
  • Lead-acid state of charge is checked with a hydrometer (specific gravity) or open-circuit voltage; never charge in an unventilated space because of hydrogen.
5 more key facts, 7 key notes, 100 flashcards and 375 practice questions for this topic are in premium.

Flashcards

ERP calculation in dBTransmitter dB + antenna gain − feed-line loss.

Exam tip: Convert everything to decibels for ERP and line-loss questions. Adding and subtracting dB is faster and less error-prone than multiplying ratios.

6. Aircraft Radio Navigation

Pool Subelement 3K Aircraft (6 questions): DME, VOR, ILS localizer, glide slope and marker beacons, ADF and transponders, aircraft antennas and frequencies.

Key facts

  • VOR: 108.00 to 117.95 MHz; gives magnetic bearing (radial) from the station by comparing a reference and a variable 30 Hz signal.
  • ILS localizer: 108.10 to 111.95 MHz (odd tenths) for lateral guidance; glide slope: 329.15 to 335.00 MHz for vertical guidance, paired with the localizer.
5 more key facts, 7 key notes, 100 flashcards and 375 practice questions for this topic are in premium.

Flashcards

Transponder interrogation and reply frequenciesInterrogation 1030 MHz, reply 1090 MHz.

Exam tip: Make a single frequency table for VOR, localizer, glide slope, markers, DME and transponder. Most of this subelement is answered from it.

7. Installation, Test Equipment and Safety

Pool Subelements 3L Installation, Maintenance and Repair (8 questions) and 3Q Safety (2 questions): 10 of 100. Meters, test equipment, oscilloscopes, specialized instruments, measurement and repair procedures, installation codes, troubleshooting, RF exposure and general safety.

Key facts

  • Voltmeters connect in parallel and should have high input resistance; ammeters connect in series and should have low resistance.
  • Measure transmitter power with an in-line RF wattmeter into a dummy load rated for the power.
5 more key facts, 7 key notes, 100 flashcards and 375 practice questions for this topic are in premium.

Flashcards

MPE averaging times (controlled / uncontrolled)6 minutes / 30 minutes.

Exam tip: Test equipment questions ask what each instrument shows and how it connects. Picture the circuit and where the meter sits in it.

8. Marine, Radar and Satellite Systems

Pool Subelements 3N Marine (5 questions), 3O RADAR (5 questions) and 3P Satellite (4 questions): 14 of 100. Marine VHF, MF-HF SSB and SITOR, survival equipment, fax and NAVTEX, NMEA data, radar theory, components and pulse settings, and LEO, Inmarsat and GPS systems.

Key facts

  • A radar mile (round trip for 1 nmi) is about 12.36 µs; range = elapsed time ÷ 12.36 µs.
  • Long range settings use wide pulses and low pulse repetition rate; short ranges use narrow pulses and high repetition rate for better resolution.
6 more key facts, 7 key notes, 100 flashcards and 375 practice questions for this topic are in premium.

Flashcards

Radar mileAbout 12.36 µs.

Exam tip: Radar range questions are quick: divide the time by 12.36 µs. Remember the pulse travels out and back.

How to pass

  • Every key topic gives exactly one question, so a 3-question subelement like modulation counts as much per topic as electrical math. You can miss 25.
  • About a fifth of the exam is calculation: Ohm's law, power, RC time constants, resonance and impedance. Practice them until each takes under a minute.
  • Don't skip the aircraft subelement (6 questions) because you work on boats. VOR, ILS, DME and transponder frequencies are quick marks once learned.
  • The pool is public and dates from 2009, including older technology such as Inmarsat-B. Learn the reasoning behind each keyed answer, because COLEMs can reorder the options.

Frequently asked questions

How long should I study for the FCC Element 3 (GROL) exam?

Most working candidates need 4 to 8 weeks at 45 to 60 minutes a day. Book your exam once your Readiness Score has stayed at 80 or higher for about a week.

Can I take the FCC Element 3 (GROL) exam online?

Yes. ABYC certification exams are taken with a proctor: online through a remote proctoring service, or for some certifications at the end of an ABYC class. Format: closed book: the fcc does not allow reference materials. the fcc doesn't publish a calculator rule, so ask your colem. written exam only. this practice set covers element 3; element 1 has its own practice set on this site. Ask the ABYC Education Department which reference materials are allowed.

What score do I need to pass the FCC Element 3 (GROL) exam?

At least 75 of 100 correct (75%). Element 1 needs 18 of 24. The exam has 100 multiple-choice questions, one from each of the 100 key topics in the published 600-question element 3 pool (approved 25 june 2009). the grol also requires element 1 (24 questions) and a time limit of no time limit is set by the fcc; each colem sets its own session length.

What are the most tested topics?

The outline covers electrical principles and math, components and circuits, digital logic and communications technology, receivers, transmitters and modulation, power sources, antennas and feed lines, aircraft radio navigation, installation, test equipment and safety, marine, radar and satellite systems. Use the free practice test to see which ones you need most.

The premium FCC Element 3 (GROL) study path

Premium FCC Element 3 (GROL) prep is studied one topic at a time. Each step starts with that topic's key notes and flashcard deck, then its own question sets of 25, so you master one topic before you move to the next. When every topic is strong, the 6 full mock exams show you're ready.

3,000practice questions, every answer explained
6full-length mock exams, 100 questions each, timed
800flashcards with spaced repetition, sorted by topic
60comprehensive key notes across 8 topics

Your step-by-step study path

  1. 1
    Electrical Principles and Math8 key notes, 100 flashcards, then 375 practice questions in 15 sets of 25
    Notes free with an account
  2. 2
    Components and Circuits8 key notes, 100 flashcards, then 375 practice questions in 15 sets of 25
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  3. 3
    Digital Logic and Communications Technology8 key notes, 100 flashcards, then 375 practice questions in 15 sets of 25
    Premium
  4. 4
    Receivers, Transmitters and Modulation8 key notes, 100 flashcards, then 375 practice questions in 15 sets of 25
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  5. 5
    Power Sources, Antennas and Feed Lines7 key notes, 100 flashcards, then 375 practice questions in 15 sets of 25
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  6. 6
    Aircraft Radio Navigation7 key notes, 100 flashcards, then 375 practice questions in 15 sets of 25
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  7. 7
    Installation, Test Equipment and Safety7 key notes, 100 flashcards, then 375 practice questions in 15 sets of 25
    Premium
  8. 8
    Marine, Radar and Satellite Systems7 key notes, 100 flashcards, then 375 practice questions in 15 sets of 25
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  9. Final step: 6 full mock exams100 questions each, timed like test day. Pass them, then book your exam.
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Summarized from ABYC's official candidate information and the rules cited, checked November 2026. Confirm current requirements with Federal Communications Commission (FCC), Wireless Telecommunications Bureau.

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