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Antenna Dipole & Monopole Resonant Length Calculator

Resonant RF antennas efficiently radiate and receive electromagnetic energy when physical conductor dimensions match integer multiples of the carrier wavelength.

Target center carrier frequency in MegaHertz (e.g. 146 MHz for 2-meter VHF band).

Geometry and feed arrangement of the antenna.

Foreshortening factor due to conductor thickness and capacitance (typically 0.95 for wire/tubing).

Calculated Result
0.975 m

Total Resonant Antenna Length

Total Resonant Length

0.975 m (38.4 in / 3.2 ft)

Element Length per Arm

0.488 m (19.21 in)

Free-Space Wavelength (λ)

2.053 m

Radiation Resistance

~73 Ω

End-Effect Velocity Factor

0.95

Calculation Breakdown

  1. 1. Free-Space Wavelength Calculationλ = c / f = 299.792 / 146 MHz = 2.053 meters
  2. 2. Antenna Resonant Length with Velocity FactorL = 0.5 · λ · k_v = 0.5 · 2.053 m · 0.95 = 0.975 m (38.4 inches)
  3. 3. Center-Fed Dipole Element LegsFor a center-fed dipole, cut 2 identical radiating elements of length 0.488 m (19.21 in) each.

Dimensions Overview (146 MHz Dipole)

Interactive visualization based on your current inputs

Length (cm)
0.051103154205Full Free-Space λDipole Total LengthElement Arm (x2)DimensionLength (cm)

What Is the Antenna Dipole & Monopole Resonant Length Calculator?

Antenna resonant length sizing ensures zero reactive impedance at the design carrier frequency.

How Does the Antenna Dipole & Monopole Resonant Length Calculator Work?

Standing wave current and voltage distributions form along the antenna; at resonance, radiation resistance matches feedline impedance.

Antenna Dipole & Monopole Resonant Length Calculator Formula & Variables

The core mathematical equation utilized by this calculator is expressed as:

L_{dipole} = \frac{c}{2 f} \cdot k_v \approx \frac{143}{f_{\text{MHz}}} \text{ (m)}, \quad L_{mono} = \frac{c}{4 f} \cdot k_v \approx \frac{71.5}{f_{\text{MHz}}} \text{ (m)}

Antenna length is wavelength fraction multiplied by speed of light over frequency and end-effect velocity factor.

How to Use the Antenna Dipole & Monopole Resonant Length Calculator

  1. Enter operating frequency in MegaHertz.
  2. Select dipole, monopole, or full-wave loop geometry.
  3. Optionally adjust velocity factor.

Step-by-Step Example Calculation

2-Meter Amateur Radio Dipole (146.0 MHz)

Input Values:

frequencyMhz:146.0
antennaType:half-wave-dipole
velocityFactor:0.95
Worked Steps: Free-space wavelength is 2.053 m. Resonant half-wave dipole length is 0.975 m (38.4 inches), requiring two 0.488 m (19.2 in) wire elements.

Understanding Your Result

Total Length (m/ft): Overall resonant physical length.

Element Leg Length: Length of each conductor arm for center-fed dipoles.

Radiation Resistance: Natural driving point impedance.

Factors That Affect the Result

  • Frequency inversely scales length; wire thickness slightly reduces velocity factor.

When Should You Use This Calculator?

  • Ham radio antenna building, wireless telemetry transceiver setup, and RF field engineering.

Assumptions & Limitations

  • Assumes antenna installed at least 0.5λ above ground plane to minimize ground detuning.

Frequently Asked Questions

Calculation Accuracy & Reference Note

Classical antenna theory formulation using speed of light c = 2.998×10⁸ m/s.

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