Brooks Groves
Technician
35 Q · pass 26
General
35 Q · pass 26
Pools in use
Tech 2026–30 · Gen 2023–27
How to use this
Read a section, then drill those questions on HamStudy.org. Book the exam once you score 85% or better three times in a row on each element. Both exams draw one question from each of 35 topic groups, so no single topic can sink you. Press e to expand every section, c to collapse.
Both exams · the formulas and numbers← On the Air
🧮 Formulas to memorize
FormulaWhat it gives youExampleWhy?
E = I × ROhm's law: volts = amps × ohms2 A through 50 Ω → 100 VWhy it matters →
P = E × IPower in watts13.8 V × 10 A → 138 WWhy it matters →
P = E² / RPower when you know volts and resistance100 V into 50 Ω → 200 WWhy it matters →
λ (m) = 300 / f (MHz)Wavelength146 MHz → about 2 mWhy it matters →
468 / f (MHz)Half-wave dipole length in feet14.2 MHz → about 33 ftWhy it matters →
234 / f (MHz)Quarter-wave vertical in feet146 MHz → about 19 inWhy it matters →
XL = 2πfLInductive reactance (rises with frequency)GeneralWhy it matters →
XC = 1 / (2πfC)Capacitive reactance (falls with frequency)GeneralWhy it matters →
f = 1 / (2π√LC)Resonant frequency, where XL = XCGeneralWhy it matters →
RMS = peak × 0.707Peak = RMS × 1.414; peak-to-peak = 2 × peak120 V RMS → 170 V peakWhy it matters →
PEP = (Vp-p ÷ 2 × 0.707)² / RPeak envelope power from a scope reading200 V p-p into 50 Ω → 100 WWhy it matters →
Vs / Vp = Ns / NpTransformer voltage follows the turns ratio; impedance ratio is the turns ratio squaredGeneralWhy it matters →
SWR = Zbig / ZsmallSWR from a mismatch (always ≥ 1)200 Ω load on 50 Ω line → 4:1Why it matters →
dBi = dBd + 2.15Gain over isotropic vs. over a dipoleGeneralWhy it matters →
Decibels in your head · why it matters →
3 dB = 2× power · 6 dB = 4× · 10 dB = 10× · 20 dB = 100× · a loss of 3 dB = half the power · one S-unit on a meter ≈ 6 dB
Prefixes
pico 10−12 · nano 10−9 · micro 10−6 · milli 10−3 · kilo 103 · mega 106 · giga 109  |  1,500 kHz = 1.5 MHz · 500 mA = 0.5 A · 0.001 µF = 1,000 pF
Series and parallel
Resistors and inductors add in series; in parallel use 1/R = 1/R₁ + 1/R₂ (two equal ones = half). Capacitors are the opposite: they add in parallel and combine like resistors in series. Series: same current everywhere. Parallel: same voltage across each.
🧠 Why the formulas matter: plain-English explainers for learning

Each formula above links here. Every explainer says what the formula really means, where you'd actually use it with a radio in your hand, and how the exam tends to ask about it. A few have a little calculator so you can poke at the numbers.

E = I × R

Ohm's law

What it means. Think of water in a hose. Voltage (E) is the pressure, current (I) is how much water flows, and resistance (R) is how narrow the hose is. Push harder or widen the hose and more flows. Know any two and the third falls out.

On the air. It's why a long, thin power cable to a mobile radio is a problem: at 20 amps, even a tenth of an ohm in the wire drops 2 volts, and the radio sags, distorts or shuts off. It also tells you what resistor an LED needs and why a fuse is rated in amps.

On the exam. Straight arithmetic: "What is the current through a 10 Ω resistor with 120 V across it?" (12 A). Cover the letter you want in the E-over-I×R triangle and the other two show the answer.

Try it · fill in any two
Read more: Ohm's law ↗ ↑ back to the formulas
P = E × I  ·  P = E² / R

Power

What it means. Watts are how hard the circuit is working: pressure times flow. The second version is the same idea when you know voltage and resistance instead of current.

On the air. This is how you size a power supply. A "100-watt" HF radio is only around 35–40% efficient, so it pulls close to 20 amps from a 13.8 V supply while transmitting: buy a supply rated 25–30 A, not 10. The E²/R version is how a voltmeter across a 50 Ω dummy load tells you real output power.

On the exam. "How much power does a 13.8 V radio drawing 10 A use?" (138 W), and the dummy-load style: "What power is 100 V RMS into 50 Ω?" (200 W).

Try it · what power supply do I need?
Read more: electric power ↗ ↑ back to the formulas
λ (m) = 300 / f (MHz)

Wavelength

What it means. Radio waves travel at the speed of light, 300 million meters a second. Divide that by how many waves pass each second (the frequency) and you get the length of one wave. With frequency in megahertz the millions cancel, leaving 300 / f.

On the air. The band names are wavelengths: 146 MHz is "2 meters," 7 MHz is "40 meters." And antennas scale with the wave, which is why a 2 m antenna fits on a handheld while a 160 m antenna needs a big backyard.

On the exam. "Which band is 446 MHz in?" (70 cm), or "What is the wavelength of a 50 MHz signal?" (6 m). Higher frequency always means shorter wavelength.

Try it · from frequency to antenna
Read more: wavelength ↗ ↑ back to the formulas
468 / f (MHz) feet

Half-wave dipole length

What it means. Half a wavelength in feet is 492 / f. A real wire antenna works best about 5% shorter than that, because of how current behaves at the wire's ends, so the rule of thumb is 468 / f for the whole dipole, half on each side of the center feed.

On the air. It's the first antenna most people build for HF. Cut it a little long, check the SWR, and trim both ends a bit at a time until the lowest SWR lands where you want to operate. Too long tunes it low in frequency; too short tunes it high.

On the exam. "About how long is a half-wave dipole for 14.250 MHz?" (about 33 feet).

Read more: dipole antenna ↗ ↑ back to the formulas
234 / f (MHz) feet

Quarter-wave vertical

What it means. Half of the dipole number. A vertical is half a dipole standing up: the ground, a car roof or a set of radial wires acts as a mirror and supplies the missing half.

On the air. The classic 2 m mag-mount on a car roof is about 19 inches, and the roof is its other half. That's also why a handheld's antenna works better when you hold the radio, since your hand and body become part of the ground side.

On the exam. "How long is a quarter-wave vertical for 146 MHz?" (about 19 inches).

Read more: monopole antenna ↗ ↑ back to the formulas
XL = 2πfL  ·  XC = 1 / (2πfC)

Reactance

What it means. Coils and capacitors push back against AC, and how hard depends on frequency. A coil (inductor) resists more as frequency rises; a capacitor resists less. Unlike a resistor, they store energy rather than turning it into heat.

On the air. This is how filters work. A ferrite choke on a cable is an inductor that blocks RF but lets audio and DC through, which cures hum and RF in your microphone. A loading coil on a short mobile whip adds inductance so the stubby antenna acts like a full-size one, and an antenna tuner is just adjustable coils and capacitors.

On the exam. General asks which way reactance moves with frequency, and occasionally a calculation. Remember: inductors like low frequencies, capacitors like high ones.

Read more: reactance ↗ ↑ back to the formulas
f = 1 / (2π√LC)

Resonance

What it means. Put a coil and a capacitor together and at one frequency their reactances are exactly equal and opposite, so they cancel. The circuit "rings" there like a bell, passing or blocking that one frequency far more than any other.

On the air. Resonance is how a receiver picks one station out of thousands, how the traps on a multiband trap dipole switch the antenna's length per band, and what "a resonant antenna" means: one whose own L and C cancel at the frequency you're using.

On the exam. "What happens at resonance?" (XL = XC), and sometimes a resonant-frequency calculation. More L or more C means a lower resonant frequency.

Read more: LC circuits ↗ ↑ back to the formulas
RMS = peak × 0.707

RMS, peak and peak-to-peak

What it means. AC voltage swings up and down, so "how many volts" needs a definition. Peak is the top of the swing; peak-to-peak is top to bottom; RMS is the DC voltage that would heat a resistor the same amount. Your wall outlet's 120 V is RMS; it actually peaks near 170 V.

On the air. Parts have to survive the peaks, not the average, so capacitors in tuners and amplifiers are rated well above the RMS voltage. An oscilloscope shows peak-to-peak, so you convert to RMS before working out power.

On the exam. "What is the peak voltage of 120 V RMS?" (about 170 V) and "peak-to-peak?" (about 339 V).

Read more: root mean square ↗ ↑ back to the formulas
PEP = (Vp-p ÷ 2 × 0.707)² / R

Peak envelope power

What it means. A voice signal on SSB has no steady carrier; it rises and falls as you talk. PEP is the power at the loudest instant, the top of the signal's envelope. The formula turns a scope reading into watts: halve peak-to-peak to get peak, multiply by 0.707 for RMS, then square and divide by the load.

On the air. The legal power limits (1,500 W, or 200 W on 30 m and for Technicians on HF) are measured as PEP. It's also why a speech processor makes you sound louder without raising PEP: it lifts the average, not the peak.

On the exam. "200 V peak-to-peak across 50 Ω, what is the PEP?" (100 W). For a steady carrier, PEP equals average power.

Read more: peak envelope power ↗ ↑ back to the formulas
Vs / Vp = Ns / Np

Transformers

What it means. Two coils sharing a core. Voltage changes by the ratio of their turns: fewer turns on the secondary steps the voltage down. Impedance changes by the turns ratio squared.

On the air. A power supply's transformer steps 120 V down toward 13.8 V. The same idea matches antennas: an end-fed half-wave has a feed impedance in the thousands of ohms, and a 49:1 transformer (7:1 turns, since 7² = 49) brings it close to the 50 Ω the radio wants. Baluns and ununs are transformers too.

On the exam. "120 V on a 2,250-turn primary, 500-turn secondary: what comes out?" (about 26.7 V), and turns-ratio-for-impedance questions.

Read more: transformers ↗ ↑ back to the formulas
SWR = Zbig / Zsmall

Standing wave ratio

What it means. When the antenna's impedance doesn't match the 50 Ω coax, some power bounces back down the line toward the radio. SWR measures how bad the mismatch is: 1:1 is perfect, and a quick estimate is simply the bigger impedance over the smaller one.

On the air. It's the number you watch while trimming an antenna. Modern radios cut their power to protect themselves when SWR climbs much past 2:1, and reflected power also means more loss in the coax. At 2:1 only about 11% is reflected, which is why 2:1 is the usual "good enough" line.

On the exam. "What SWR does a 200 Ω load on 50 Ω line give?" (4:1), "25 Ω?" (2:1), and what high SWR tells you about the antenna system.

Try it · on 50 Ω coax
Read more: standing wave ratio ↗ ↑ back to the formulas
dBi = dBd + 2.15

Antenna gain: dBi and dBd

What it means. Antennas don't make power; they aim it. Gain says how much stronger the antenna's best direction is than a reference. dBi compares against an imaginary antenna that radiates equally in every direction; dBd compares against a real dipole, which already has 2.15 dB of gain over that.

On the air. Ads love dBi because the number is bigger. A "5 dBi" antenna and a "2.85 dBd" antenna are the same. Convert before you compare, or you'll pay for 2 dB that doesn't exist.

On the exam. Converting between the two, and what gain means for a Yagi's pattern.

Read more: antenna gain ↗ ↑ back to the formulas
3 dB = 2× · 10 dB = 10×

Decibels

What it means. Decibels compare two powers on a log scale, which matches how our ears and radios actually perceive strength. Doubling the power is only +3 dB; ten times the power is +10 dB.

On the air. This is the most useful idea on the sheet. Going from 100 W to 400 W with an amplifier is just 6 dB, about one S-unit on the other station's meter. A better antenna that adds 6 dB does the same thing for both transmitting and receiving, which is why hams say "spend on the antenna first."

On the exam. "A 3 dB loss leaves what fraction of the power?" (half), "How many dB is a power increase from 5 W to 50 W?" (10 dB), and S-units.

Try it · compare two powers
Read more: decibels ↗ ↑ back to the formulas
Technician · Element 2 · 35 questions · pass 26Pool 2026–2030
📜 T1 · FCC rules
RuleThe answer they want
Which rules govern hamsFCC Part 97. The FCC licenses; the ITU sets international allocations.
License term10 years · renew within 90 days before it expires · 2-year grace to renew after, but no transmitting in the grace period
When can I transmit?As soon as the call sign shows up in the FCC's ULS database (the FCC emails a link to the license)
Station IDYour call sign every 10 minutes during a contact and at the end, in English or Morse
Control operatorAny licensed ham the station licensee designates; privileges are the control operator's. Licensee and control operator are both responsible.
Maximum power1,500 W PEP · Techs on HF CW segments: 200 W PEP · always the minimum power necessary
Not allowedMusic, obscene or indecent language, codes meant to hide meaning, broadcasting to the public, and getting paid (business on behalf of an employer)
ExceptionsEncryption is allowed for controlling a space station or a model craft; retransmitting NASA/space-station audio is allowed
Third-party trafficLetting an unlicensed person talk: OK with the control operator present, and only to countries with a third-party agreement
EmergenciesWhen life or property is in immediate danger, use any means necessary to get help
Secondary allocationsHams must not interfere with, and must accept interference from, the primary users (e.g. parts of 70 cm)
BandTechnician privileges
80 / 40 / 15 m3.525–3.600 · 7.025–7.125 · 21.025–21.200 MHz, CW only, 200 W
10 m28.000–28.300 CW, RTTY and data (FT8 lives at 28.074) · 28.300–28.500 CW and SSB voice · beacons sit at 28.200–28.300
6 m50–54 MHz (50.0–50.1 CW only)
2 m144–148 MHz (144.0–144.1 CW only)
1.25 m222–225 MHz
70 cm420–450 MHz
33 / 23 cm902–928 MHz · 1240–1300 MHz
Trap to watch
"Which band is 146.52 MHz in?" → 2 m. Match frequency to wavelength with 300 / f: 50 MHz → 6 m, 223 MHz → 1.25 m, 440 MHz → 70 cm.
🎙️ T2 · Operating procedures
TopicRemember
Repeater offsets2 m ±600 kHz · 1.25 m −1.6 MHz · 70 cm ±5 MHz
Can't open a repeater?Usually a missing or wrong CTCSS (PL) tone; also check the offset
National FM simplex calling146.520 MHz (70 cm: 446.000)
Calling on a repeaterJust say your call sign; "CQ" is for open calls on HF/simplex
Band plansVoluntary agreements (e.g. which part is for FM or weak-signal) beyond what the FCC requires
ARES / RACESARES: ARRL volunteers serving agencies · RACES: government civil-defense communications
NetsA net control station runs it; emergency traffic always goes first
MessagesPass them exactly as received; the "check" is the word count of the text
Q signals they ask about
QRM man-made interference · QRN static/noise · QSY change frequency · QSL I acknowledge · QTH location · QRP low power · QRZ? who's calling? · CQ calling anyone · 73 best regards
🌐 T3 · Radio waves and propagation
VHF / UHF

Mostly line of sight; the radio horizon is a bit farther than the visual one because the atmosphere bends signals. UHF gets into buildings better (shorter wavelength).

Polarization: vertical for FM and repeaters, horizontal for SSB/CW weak-signal work. Mismatched polarization costs a lot of signal.

The ionosphere

The D layer absorbs lower HF in daytime. The F layer (F2) reflects signals for long-distance contacts. Higher sunspots support higher frequencies.

The 2026 pool says signals "reflect" off the ionosphere.

Unusual VHF paths

Sporadic E: 6 m and 10 m openings, often in summer. Meteor scatter: best on 6 m. Tropospheric ducting: VHF/UHF hundreds of miles along weather fronts.

Aurora: signals sound raspy. Knife-edge diffraction: signals bend around a sharp ridge or building edge.

Fading

Picket fencing: rapid fluttering of a mobile FM signal from multipath. Moving the antenna a few feet can fix multipath dropouts.

Frequency × wavelength = speed of light: higher frequency, shorter wavelength.

🔌 T5–T6 · Electrical principles and components
QuantityUnitNotes
Voltage (EMF)voltMeasured in parallel with a voltmeter
CurrentampereMeasured in series with an ammeter
ResistanceohmMeasure with the circuit powered off
PowerwattRate of using energy
CapacitancefaradStores energy in an electric field
InductancehenryStores energy in a magnetic field
FrequencyhertzCycles per second
Parts and what they do

Diode: current one way (rectifier) · LED: lights when forward-biased · Transistor: amplifier or switch · Relay: switch worked by an electromagnet · Fuse: opens on overload · Potentiometer: variable resistor (volume) · Transformer: changes AC voltage

Circuits

Conductors (copper) vs insulators (glass, plastic). A short blows the fuse; an open stops current. A tuned circuit (inductor + capacitor) picks one frequency.

Schematic symbols show up: learn resistor, capacitor, inductor, diode, transistor, battery, ground.

🛠️ T4 / T7 · Station setup and equipment
GearRemember
SWR meterShows how well the antenna matches the feed line; 1:1 is perfect, under 2:1 is fine
Dummy loadA non-radiating 50 Ω resistor for testing without putting a signal on the air
Antenna analyzerMeasures SWR and impedance across frequencies without transmitting
MultimeterVoltmeter in parallel, ammeter in series, ohmmeter with the power off
VFOVariable-frequency oscillator: the tuning knob's oscillator
TransceiverTransmitter + receiver in one box; mobile radios wire straight to the battery, with fuses in both leads
RF interferenceFix with filters, ferrite chokes and good grounding; check your own station first
OverdeviationFM audio too loud: back off the mic or talk farther from it
Distorted signal reportsLow battery, RF feedback, or too much mic gain
🛰️ T8 · Modes, digital and satellites
ModeBandwidth / use
CWNarrowest, about 150 Hz
SSB voiceAbout 3 kHz; weak-signal VHF and HF. Upper sideband on VHF/UHF and 10 m.
FM voiceAbout 10–15 kHz; repeaters
FT8Weak-signal digital in 15-second slots; Techs can use it on 10 m and VHF
DMRDigital voice with talkgroups, a color code to reach a repeater, and a code plug file to program the radio
D-STAR / FusionOther digital voice systems
APRSPosition and short messages by packet; 144.390 MHz in the US
WinlinkEmail over radio, useful in emergencies
Satellites
Uplink = you to the satellite · Downlink = the satellite to you · Any Technician can work them · Doppler shift moves the frequency as it passes · LEO = low Earth orbit · Spin fading = rhythmic fading as it rotates · Mode U/V = uplink UHF, downlink VHF · Use the minimum power needed · Track passes with software and the satellite's Keplerian elements
🗼 T9 · Antennas and feed lines
Antennas

A dipole radiates broadside to its wire. A quarter-wave vertical is omnidirectional. A Yagi beams in one direction for gain. A 5/8-wave vertical has more gain than a 1/4-wave.

The "rubber duck" on a handheld is short and inefficient; an outside antenna helps a lot. To make an antenna resonate lower, make it longer.

Feed lines

Coax is usually 50 Ω. Loss goes up with frequency and with length; air or foam dielectric loses less than solid. Water in the coax is the classic cause of rising loss.

Connectors: PL-259/SO-239 for HF, Type N for UHF and microwaves.

Quick test
High SWR means the antenna system isn't matched; the fix is at the antenna, though a tuner can make the radio happy.
⚠️ T0 · Electrical and RF safety
TopicRemember
RF exposureNon-ionizing; it heats body tissue. Exposure limits (MPE) are lowest around 30–300 MHz, where the body absorbs most.
What affects exposurePower, distance, frequency, antenna pattern and duty cycle
Station evaluationRequired to confirm you meet the RF exposure rules; move the antenna or cut power to fix
Household currentAs little as 0.1 A through the body can be fatal; use a GFCI, correctly sized fuses, and never a bigger fuse than specified
LightningGround all antenna systems to a common point; disconnect in storms
TowersWear a harness and hard hat, have a buddy, and never climb with power on the antennas
General · Element 3 · 35 questions · pass 26Pool 2023–2027 · through June 30, 2027
Where the 35 questions come from
G1 Rules 5 · G2 Operating 5 · G3 Propagation 3 · G4 Amateur practices 5 · G5 Electrical principles 3 · G6 Components 2 · G7 Practical circuits 3 · G8 Signals and emissions 3 · G9 Antennas 4 · G0 Safety 2. Rules, operating and practices make up 15 of the 35, so they're the cheapest points.
📜 G1 · Commission's rules 5 questions
BandCW / dataPhone / image
160 m1.800–2.000 MHz, all modes
80 m3.525–3.6003.800–4.000
40 m7.025–7.1257.175–7.300
30 m10.100–10.150 (200 W PEP max)No phone
20 m14.025–14.15014.225–14.350
17 m18.068–18.11018.110–18.168
15 m21.025–21.20021.275–21.450
12 m24.890–24.93024.930–24.990
10 m28.000–28.30028.300–29.700
The 60 m channels
Five channels · upper sideband · transmit on the channel center · 100 W ERP relative to a dipole · hams are secondary there
RuleThe answer they want
Just upgraded, not in the database yetAdd "/AG" after your call when using General privileges
CSCE (exam certificate)Good for 365 days
Volunteer ExaminersThree VEs per session; a General can be a VE for Technician exams only
BeaconsMax 100 W output
Staying inside the bandYour sidebands must stay inside: LSB on 7.178 occupies about 7.175–7.178, so don't go lower. Keep about 3 kHz from any edge.
Spurious emissionsMust be kept low enough not to cause interference; you must fix them
Automatic controlRepeaters and auxiliary stations can run without an operator present; HF automatic digital stations have their own segments
Trap to watch
The bands with no Extra-only segment are 160, 30, 17, 12 and 10 m (plus the 60 m channels). On 80, 40, 20 and 15 m the bottom edge and the start of the phone segment belong to Extras.
🎙️ G2 · Operating procedures 5 questions
TopicRemember
Which sidebandLSB below 10 MHz (160, 80, 40 m) · USB above (20 m and up) · 60 m is USB even though it's low
Before calling CQListen, then ask "Is this frequency in use?" (on CW: QRL?)
CWZero beat = match the other station's frequency · full break-in (QSK) = hear between your own dots and dashes · QRS = send slower
Signal reportsRST: Readability 1–5, Strength 1–9, Tone 1–9 (CW only). "59" is a typical phone report.
DX etiquetteA rare station working split listens on a different frequency; call where they say, not on top of them
RTTY170 Hz shift, 45 baud, usually on LSB settings
Digital segmentsFT8 and other data cluster near the bottom of each band, e.g. 14.070–14.095 MHz
Nets and emergenciesIn an emergency, normal privileges can be exceeded to save life or property; nets give emergency traffic priority
QRP5 W or less
☀️ G3 · Radio wave propagation 3 questions
The sun

Sunspot cycle ≈ 11 years. More sunspots → higher MUF → 10–15 m open up. The solar flux index (10.7 cm radio noise) tracks it; higher is better.

A flare's UV and X-rays arrive in about 8 minutes and can black out HF on the sunlit side. Charged particles from a CME arrive in 20–40 hours and bring geomagnetic storms and aurora.

The indices

K index: geomagnetic activity over 3 hours, 0–9. A index: the daily average. Low K and A = good HF conditions.

MUF: highest frequency that comes back to Earth on a path. LUF: lowest usable before absorption wins. Operate just under the MUF.

The layers

D layer: daytime absorption of 160–40 m, gone at night. E layer: single hop up to about 1,200 mi. F2 layer: highest, single hop up to about 2,500 mi.

Critical angle: launch any steeper and the signal goes into space.

Paths

NVIS: low antenna, high angle, 40/80 m, fills in 0–300 mi around you. Grey line: enhanced along the day/night boundary. Long path: the other way around the planet; the beam heading is 180° off.

Skip zone: too far for ground wave, too close for the first hop.

🎛️ G4 · Amateur radio practices 5 questions
Control or testWhat it does
ALCAutomatic level control: keeps the amplifier from being overdriven; too much ALC means splatter
Speech processorRaises average power on SSB, not peak; too much distorts
Two-tone testTwo non-harmonic audio tones to check an SSB transmitter's linearity
RITReceive incremental tuning: shifts only the receiver a little
Noise blankerCuts impulse noise (ignitions, power lines)
Notch filterRemoves a single interfering carrier or tone
IF shiftSlides the passband to dodge nearby interference
Tube amplifier tuningTune for a dip in plate current; watch grid current so you don't overdrive
OscilloscopeBest for looking at a transmitted waveform
S-meterRelative signal strength; each S-unit ≈ 6 dB, so going up one S-unit takes about 4× the power
Hum or RF on audioGround loops or RF feedback; fix with a single-point ground and ferrite chokes
Mobile HFThe antenna is the weak link; wire power straight to the battery
⚡ G5 · Electrical principles 3 questions
Reactance and impedance

Reactance is opposition to AC from L and C. Inductors resist more as frequency rises; capacitors resist less. Impedance = resistance + reactance; matching it transfers the most power.

At resonance, XL = XC.

Power and AC

RMS is the heating-equivalent DC voltage. PEP is the average power over one RF cycle at the highest peak of the envelope. For an unmodulated carrier, PEP = average.

A transformer's impedance ratio is the square of its turns ratio.

Common calculations
Three 100 Ω resistors in parallel → 33.3 Ω · Two 10 µF capacitors in series → 5 µF · 120 V RMS → 339 V peak-to-peak · A 2,250-turn primary on 120 V with 500 turns secondary → about 26.7 V
🧩 G6 / G7 · Components and practical circuits 5 questions
Part or circuitRemember
Electrolytic capacitorBig capacitance in a small package; polarized
Ceramic capacitorSmall, cheap, good at RF
Schottky diodeLow forward voltage drop
Zener diodeHolds a constant voltage (regulation)
MOSFETGate is insulated: very high input impedance
Ferrite / toroidChokes RF on cables; toroids keep the magnetic field inside the core
Power supplyFull-wave rectifier output is 120 Hz pulses on 60 Hz mains; a filter capacitor smooths it; a bleeder resistor discharges the caps when off
SuperheterodyneA mixer makes sum and difference frequencies to land the signal on a fixed IF
OscillatorAn amplifier with positive feedback
Amplifier classesClass A most linear, least efficient · AB for SSB · Class C most efficient but only for CW and FM
LogicAND: all inputs high · OR: any input high · NAND: output low only when all inputs are high · a flip-flop stores one bit
DSPFiltering and demodulation done in software after digitizing the signal
〰️ G8 · Signals and emissions 3 questions
ModeAbout this wideNotes
FT850 Hz15-second transmit periods
PSK31~31 HzKeyboard chat, very narrow
CW~150 Hz
RTTY~250 Hz170 Hz shift
SSB~3 kHzOne sideband, no carrier: the most efficient voice mode
AM~6 kHzCarrier plus both sidebands
FM10–15 kHzOnly above 29 MHz on HF (the top of 10 m)
Trap to watch
Splatter = overmodulation spreading the signal wide. Intermodulation = two signals mixing into new frequencies in a non-linear stage. A frequency multiplier multiplies an FM signal's deviation too.
🗼 G9 · Antennas and feed lines 4 questions
Dipoles and verticals

Half-wave dipole ≈ 468 / f ft; feed-point impedance about 72 Ω in free space, changing with height. Quarter-wave ground-mounted vertical ≈ 36 Ω; sloping its radials down raises it toward 50 Ω.

A trap dipole works several bands. A loading coil makes a short antenna resonate. An end-fed half-wave has a very high feed impedance and needs a matching transformer.

Yagis

The reflector is longer than the driven element; directors are shorter. A longer boom with more directors means more gain and a narrower beam.

Front-to-back ratio: forward signal vs. the back. Gain in dBi = dBd + 2.15.

Feed lines

Ladder line (window line) has much less loss than coax, even at high SWR. Coax loss grows with frequency and length. High SWR adds loss in the line as heat.

An antenna tuner at the radio doesn't fix the SWR on the line; it only makes the radio see 50 Ω.

Patterns

A dipole's pattern is a figure eight, strongest broadside. A low horizontal antenna sends energy straight up (good for NVIS). Raising it lowers the radiation angle for DX.

A log-periodic covers a wide frequency range with fairly flat gain.

⚠️ G0 · Electrical and RF safety 2 questions
TopicRemember
Duty cycle in exposure mathFM and data ≈ 100% · CW ≈ 40% · SSB voice ≈ 20%: a lower duty cycle allows more power for the same exposure
Averaging timeExposure is averaged over 6 minutes (controlled, i.e. you and your family) or 30 minutes (uncontrolled, i.e. neighbors and the public)
Doing the evaluationCalculate with the FCC's OET Bulletin 65 tables or software, or measure with a calibrated field-strength meter
GeneratorsRun outdoors, away from windows: carbon monoxide
GroundingBond everything to a single-point ground; put lightning arrestors where cables enter the house
WiringThree-wire cords with the green ground; GFCI near water; fuses in the hot lead
Exam day
📝 What to bring and how to play it
Bring

Photo ID · your FRN from the FCC's CORES system · the session fee if any · pencils · a calculator (the team may ask to see its memory cleared)

Check the session listing: some teams want you to register ahead.

Play it

No penalty for wrong answers, so answer every question. Skip the math on the first pass and come back. "Always" and "never" answers are usually wrong.

Pass Technician, then ask to sit General right away. After the session, pay the $35 FCC fee within 10 days of the email.

Technician 35 Q · General 35 Q · pass 26 each ← On the Air