ACURA Radio Math Toolkit featuring amateur radio equipment, SWR meter, multimeter, antenna wavelength calculations, Ohm's law, and RF circuit diagrams.

Radio Math Toolkit

Our ham radio calculator toolkit puts the everyday math on one page. Work out a wavelength, coax loss, what your SWR really costs, decibels and watts, Ohm’s law, LC resonance, S-meter readings, effective radiated power and battery runtime. Every answer updates as you type.

πŸ“ Wavelength & Antenna Lengths

How long is a wave at this frequency?
β€”Full wavelength
β€”Half-wave dipole
β€”Quarter-wave vertical
β€”Band
Antenna lengths use the common 468 / f and 234 / f formulas, which allow for end effect. Cut a little long and trim. For more antenna types, use the Antenna Length Calculator.

πŸ”Œ Coax Loss

How much power reaches your antenna?
β€”Loss
β€”Reaches the antenna
β€”Power lost
β€”Loss per 100 ft
Typical matched-line figures from manufacturer charts. High SWR adds more loss.

πŸ“‰ SWR & Reflected Power

What does my SWR really cost me?
β€”Reflected power
β€”Mismatch loss
β€”Return loss
β€”Reflection coefficient
β€”SWR from your meter
β€”Verdict

πŸ”Š Decibels & Watts

Turn dB into “how many times more power.”
β€”Power ratio
β€”New power
Every 3 dB doubles the power; 10 dB is ten times; 6 dB is one S-unit. 0 dBm = 1 milliwatt.

⚑ Ohm’s Law & Power

Fill in any two boxes. The rest are worked out.
β€”Answer
E = I Γ— RP = E Γ— I

πŸŒ€ LC Resonance

Fill in two of the three. Leave one blank.
β€”Answer
β€”Reactance at resonance
f = 1 Γ· (2Ο€ √(L Γ— C)). Handy for traps, tuners and filters.

πŸ“Ά S-Meter Converter

What does “you’re S7” actually mean?
β€”Signal level
β€”Microvolts at 50 Ξ©
β€”Power at the radio
β€”Compared with S9
IARU standard: S9 = 50 Β΅V (βˆ’73 dBm) on HF and βˆ’93 dBm on VHF/UHF; each S-unit is 6 dB. Real radios vary.

πŸ“‘ Effective Radiated Power

How strong is my signal, really?
β€”ERP
β€”EIRP
β€”Net gain
β€”vs. bare dipole
EIRP = ERP Γ— 1.64. Use the RF Exposure Calculator to check your station.

πŸ”‹ Battery Runtime

How long will my go-kit battery last?
β€”Runtime
β€”Average draw
Check your radio’s manual for receive and transmit current. Cold weather can cut capacity by a third.

Which Ham Radio Calculator Do I Need?

Planning a new antenna run? Start with Coax Loss and Wavelength. Chasing a high reading on your meter? Use SWR to see how much power you really lose. Packing a go-kit? Battery Runtime tells you how long your radio will last. For the General and Extra exams, the dB, Ohm’s law and LC resonance calculators are great for checking your practice answers.

More Tools From ACURA

For antenna lengths, see the Antenna Length Calculator. To check your station against FCC limits, use the RF Exposure Calculator. To see where an antenna sends its signal, try the Antenna Radiation Pattern Visualizer.