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Calcimator

Antenna Trap Design Calculator

Calculate trap capacitor and inductor values for multi-band wire antennas. Includes coil winding data and impedance analysis.

About this calculator

A trap is a parallel LC (inductor-capacitor) resonant circuit spliced into a wire antenna's element to make it electrically shorter on higher bands while leaving the full length available on lower bands — the classic technique behind multi-band trap dipoles and verticals. This calculator starts from the standard resonance relationship, f = 1/(2π√(LC)), and solves it for the capacitance needed to resonate your chosen inductor at the trap frequency you enter. From there it derives the inductive and capacitive reactance at resonance (which are equal by definition at resonance) and estimates the trap's impedance using Z = Q × XL with an assumed Q of 200, a reasonable middle-of-the-road figure for an air-wound coil — real coils can run anywhere from about 100 to 300 depending on wire gauge, spacing, and core material, so treat this as an estimate rather than a guarantee.

The coil turns needed to physically wind that inductance on your chosen form diameter come from Wheeler's approximation for single-layer air-core coils, assuming a square-ish winding where the coil's length roughly equals its diameter; it also reports the wire length and turn spacing you'll need to actually wind it. The 3 dB bandwidth (frequency span over which the trap stays effectively resonant) is estimated as center frequency divided by Q — a higher-Q trap is sharper but also less forgiving of small construction errors, so budget for trimming the capacitor slightly after winding to hit exact resonance.

Inputs

MHz
μH
in

Results

Required Capacitance

50.6 pF

Trap Impedance (Q=200)

44,454 Ω

Coil Turns

7.6

Inductive Reactance222.27 Ω
Capacitive Reactance222.27 Ω
Wire Length for Coil5 ft
Turn Spacing0.328 in
Trap Bandwidth (3 dB)0.071 MHz
How to Use This Calculator
  1. Enter the trap resonant frequency (MHz) matching the band you want to isolate.
  2. Set the coil inductance (µH) and coil form diameter (mm) for your wound coil.
  3. Review required capacitance (pF), inductive reactance (Ω), and number of coil turns needed.
  4. Use the trap impedance output to verify the trap will effectively isolate the outer section.
  5. Wind the coil to the calculated turns and trim the capacitor to achieve resonance.

How the result changes with Trap Frequency

Trap FrequencyRequired CapacitanceTrap Impedance (Q=200)Coil Turns
7.08202.13 pF22,242 Ω7.6
1183.74 pF34,558 Ω7.6
2122.98 pF65,973 Ω7.6
358.27 pF109,956 Ω7.6

What each input means

Trap Frequency
Frequency at which the trap should resonate (isolates antenna sections)
Coil Inductance
Desired coil inductance (higher = fewer turns but larger capacitor needed)
Coil Form Diameter
Diameter of the coil form (PVC pipe, etc.) in inches

How this is calculated

Formula

C = 1 / ((2πf)² × L); Turns via Wheeler's formula

Worked example, using the default values

  1. Identify Input Parameters
    Trap Frequency = 14.15, Coil Inductance = 2.5, Coil Form Diameter = 2.5 = 3 input(s) provided
  2. Calculate Required Capacitance
    Required Capacitance
    50.6 = 50.6
  3. Calculate Trap Impedance
    Trap Impedance
    44454 = 44454
  4. Calculate Coil Turns
    Coil Turns
    7.6 = 7.6
  5. Calculate Inductive Reactance
    Inductive Reactance
    222.27 = 222.27
  6. Calculate Capacitive Reactance
    Capacitive Reactance
    222.27 = 222.27

Engine last updated . Checked against 1 independently-derived test — how we verify calculators. Built by Paul Gunder, a software engineer, not a licensed financial, medical, or legal professional.

Frequently Asked Questions

Why does the calculator assume a fixed Q of 200 for the coil?

Q factor depends on the physical build — wire gauge, turn spacing, and core material — which the calculator doesn't ask for, so it uses 200 as a reasonable middle-of-the-road estimate for an air-wound HF trap coil. Real coils commonly range from about 100 to 300, so treat the reported trap impedance and bandwidth as an estimate rather than an exact figure for your specific build.

Why does the tool assume the coil's length equals its diameter?

The turns-needed calculation uses Wheeler's single-layer coil formula, which needs both a diameter and a winding length; since you only enter a form diameter, the calculator assumes a roughly square winding (length equal to diameter) to solve for turns. A significantly longer or shorter winding than that will need more or fewer turns than reported to reach your target inductance.

How is the required capacitance calculated from my inductance and trap frequency?

It rearranges the LC resonance formula f = 1/(2π√(LC)) to solve for C directly: C = 1/((2πf)² × L), using your trap frequency and coil inductance. At that capacitance the inductive and capacitive reactances are equal, which is what makes the circuit resonate at your chosen frequency.

Why does a higher-Q trap need more careful winding?

The 3 dB bandwidth is estimated as center frequency divided by Q, so a higher Q produces a narrower resonance band. That sharper resonance isolates antenna sections more effectively but is also less forgiving of small errors in turns or capacitance, which is why it's worth trimming the capacitor after winding to hit exact resonance.

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