Dipole & Monopole Antenna Length Calculator
Estimate the physical length to cut a half-wave dipole or quarter-wave monopole wire antenna for a target frequency, using the free-space wavelength and an adjustable end-effect factor.
- Total length (both legs)
- 32.901 ft (10.028 m)
- Length per leg
- 16.451 ft (5.014 m)
How it works
A resonant wire antenna's physical length is a fraction of its signal's free-space wavelength, λ = c ÷ f. A half-wave dipole (fed at its center, with two legs) is resonant at λ/2; a quarter-wave monopole (fed against a ground plane, a single element) is resonant at λ/4. Because a real wire is very slightly electrically longer than its physical length — a phenomenon called 'end effect,' the capacitive coupling of an unterminated wire end to its surroundings — the length actually cut is that free-space fraction multiplied by an end-effect factor, typically 0.90-0.98 for ordinary wire, with 0.95 a widely used default for common AWG 12-16 copper wire.
This calculator computes the free-space wavelength directly from the speed of light rather than starting from the rounded '468 ÷ f(MHz)' feet shortcut some references quote, which keeps it exact for any end-effect factor you enter. With the default 0.95 factor, it reproduces that classic 468 ft (dipole) / 234 ft (monopole) rule of thumb to within a small fraction of a foot, since 468 ≈ 492 × 0.95 and 234 ≈ 246 × 0.95, where 492 ft and 246 ft are themselves the half- and quarter-wavelength at exactly 1 MHz.
Real-world antennas typically need final on-air trimming — nearby objects, wire gauge, and height above ground all shift the true resonant length slightly from this formula's prediction — so treat the result as a solid starting cut length, not a guaranteed final one.
FAQ
Why does a bigger end-effect factor make the antenna longer?
The end-effect factor here represents the fraction of the ideal free-space length you actually cut — a factor of 1.0 means no shortening at all (the full free-space λ/2 or λ/4), while a smaller factor like 0.95 cuts the wire shorter to compensate for the antenna behaving as if it were slightly longer than its physical length. Thicker wire or tubing has a stronger end effect and typically wants a smaller factor (down toward 0.90-0.93); thin wire sits closer to 0.97-0.98.
Why is the monopole exactly half the dipole's length?
A quarter-wave monopole against a good ground plane behaves electrically like one half of a half-wave dipole — the ground plane acts as a mirror for the missing half. Both are resonant, just at 1/4 and 1/2 of a wavelength respectively, so for the same frequency and end-effect factor the monopole is always exactly half the dipole's total length.
Related calculators
- Percentage Calculator
- Quadratic Equation Solver
- GCD & LCM Calculator
- Circle Area & Circumference Calculator
- Right Triangle Calculator (Pythagorean Theorem)
- Ratio Simplifier
- Exponent & Root Calculator
- Oblique Triangle Solver (Law of Cosines)
- Distance, Midpoint & Slope Calculator
- Permutations & Combinations Calculator (nPr, nCr)
- Arithmetic & Geometric Sequence Calculator
- Regular Polygon Calculator
- Z-Score & Percentile Calculator
- Cubic Equation Solver
- Prime Factorization Calculator
- System of Linear Equations Solver (2 Equations)
- Half-Life Decay Calculator
- Vector Calculator (Dot Product, Cross Product, Angle)
- Ohm's Law Calculator
- Projectile Motion Calculator
- Matrix Determinant & Inverse Calculator (2x2 / 3x3)
- Ideal Gas Law Calculator (PV = nRT)
- Snell's Law Calculator (Refraction Angle)
- Wire Resistance Calculator
- Clock Angle Calculator
- Pythagorean Means Calculator (AM, GM, HM)
- Number Base Converter (Decimal to Binary, Octal, Hex)
- Dice Probability Calculator
- Pythagorean Triple Generator
- Binomial Probability Calculator
- Torque Calculator
- Law of Sines Triangle Solver
- Modular Exponentiation Calculator
- Simple Pendulum Period Calculator
- Kinetic Energy Calculator
- Complex Number Calculator
- Circular Sector & Arc Length Calculator
- System of 3 Linear Equations Solver
- Reynolds Number Calculator
- Coulomb's Law Calculator
- Speed of Sound in Air Calculator
- Thin Lens Equation Calculator
- Centripetal Force Calculator
- Resistors in Series and Parallel Calculator
- RC Circuit Time Constant Calculator
- Escape Velocity Calculator
- Doppler Effect Calculator
- Birthday Paradox Calculator
- Ellipse Area, Circumference & Eccentricity Calculator
- Hyperbola Calculator
- Hooke's Law Spring Calculator
- Molarity (Molar Concentration) Calculator
- Momentum & Impulse Calculator
- Kepler's Third Law Orbital Period Calculator
- Triangle Area from Coordinates Calculator
- Beer-Lambert Law Absorbance Calculator
- LC Circuit Resonant Frequency Calculator
- Musical Note Frequency Calculator
- Decibel (dB) Converter
- Elo Rating Calculator
- Beam Deflection Calculator
- Stellar Parallax Distance Calculator
- pH & pOH Calculator
- Poker Outs Odds Calculator (Texas Hold'em)
- Flywheel Kinetic Energy Calculator
- Voltage Divider Calculator (with Loading Effect)
- Wind Turbine Power Output Calculator
- Compound Gear Train Calculator
- Column Buckling Calculator (Euler's Critical Load)
- Henderson-Hasselbalch Buffer pH Calculator
- Capacitor Energy Storage Calculator
- CNC Speeds & Feeds Calculator
- Battery Runtime Calculator (Peukert's Law)
- Inductor Energy Storage Calculator
- Engine Compression Ratio Calculator
- Terminal Velocity Calculator
- Brewster's Angle Calculator (Polarizing Angle)
- Wheatstone Bridge Calculator
- Wien's Displacement Law Calculator
- Stefan–Boltzmann Law Calculator
- Young's Modulus (Elastic Modulus) Calculator
- Horizontal Cylindrical Tank Volume Calculator
- Solenoid Inductance Calculator
- Force Between Parallel Wires Calculator
- Pulley Belt Length & Speed Ratio Calculator
- 555 Timer Astable Frequency & Duty Cycle Calculator
- Buoyancy Calculator (Archimedes' Principle)
- Hydrostatic Pressure Calculator
- Tank Drain Time Calculator
- Op-Amp Slew Rate / Full-Power Bandwidth Calculator
- RL Circuit Time Constant Calculator
- Reverberation Time Calculator (Sabine Equation)
- Schwarzschild Radius Calculator
- Helmholtz Resonator Frequency Calculator
- Rayleigh Criterion (Diffraction Limit) Calculator
- Spring-Mass Oscillation Period Calculator
- Venturi Meter Flow Rate Calculator
- Darcy-Weisbach Pipe Friction Loss Calculator
- Critical Angle Calculator (Total Internal Reflection)
- Transformer Turns Ratio Calculator
- Area Moment of Inertia Calculator (Second Moment of Area)
- Numerical Aperture Calculator (Optical Fiber)
- Diffraction Grating Calculator
- Confidence Interval Calculator
- Arrhenius Equation Calculator
- Hagen-Poiseuille Flow Rate Calculator
- Shaft Torsion Calculator (Angle of Twist & Shear Stress)
- Series RLC Circuit Resonance Calculator
- Parallel RLC Circuit Resonance Calculator
- Projectile Motion on an Incline Calculator
- Parallel-Plate Capacitor Calculator
- Rocket Equation Calculator (Tsiolkovsky Delta-v)
- Photoelectric Effect Calculator
- Op-Amp Gain Calculator (Inverting & Non-Inverting)
- Stokes' Law Settling Velocity Calculator
- Bolt Preload Calculator (Torque to Clamp Force)
- Gravitational Force Calculator (Newton's Law of Gravitation)
- Banking Angle Calculator (Curve Superelevation)
- Springs in Series and Parallel Calculator
- Freezing Point Depression / Boiling Point Elevation Calculator
- Redshift to Velocity Calculator
- Lensmaker's Equation Calculator
- Combined Gas Law Calculator
- Angular Momentum Conservation Calculator
- LED Series Resistor Calculator
- Sample Size Calculator (Margin of Error)
- Lorentz Force Calculator (Magnetic Force on a Moving Charge)
- Drag Force Calculator (Aerodynamic / Fluid Drag)
- Exposure Value (EV) & Equivalent Exposure Calculator
- Hydraulic Press Calculator (Pascal's Law)
- Clausius-Clapeyron Equation Calculator
- Modular Inverse Calculator
- Specific Heat (Q = mcΔT) Calculator
- Bayes' Theorem Calculator (Diagnostic Test Accuracy)
- Euler's Totient Function Calculator
- Graham's Law of Effusion Calculator
- Wye-Delta (Y-Δ) Transformation Calculator