Loop Antenna Impedance Calculator

Model loop impedance with conductor, turns, and frequency. Review resistance, reactance, Q, and efficiency quickly. Download clean reports after every precise calculation for projects.

Calculator

Example Data Table

Frequency Loop Conductor Turns Use case
7.1 MHz 0.75 m circular radius 22 mm copper tube 1 Compact HF transmitting loop
14.2 MHz 0.45 m circular radius 12 mm aluminum tube 1 Portable tuned loop
1.8 MHz 2.2 m square side 4 mm copper wire 3 Receive loop estimate

Formula Used

Wavelength: lambda = c / f.

Small loop radiation resistance: Rr = 31200 x (N x A / lambda^2)^2.

Approximate inductance: L = mu0 x N^2 x r x [ln(8r / a) - 2].

Inductive reactance: XL = 2 x pi x f x L.

Skin depth: delta = sqrt(rho / (pi x f x mu0)).

Loss resistance: Rloss = rho x length / effective area.

Feed impedance: Z = (Rr + Rloss) + jXL.

Resonating capacitance: C = 1 / [(2 x pi x f)^2 x L].

Efficiency: efficiency = Rr / (Rr + Rloss) x 100.

Square loops use an equivalent circular radius. Results are estimates for early design.

How To Use This Calculator

  1. Enter the operating frequency and choose the correct unit.
  2. Select the loop shape and matching dimension mode.
  3. Add loop dimension, conductor diameter, turns, and spacing.
  4. Choose the conductor material or enter custom resistivity.
  5. Add extra joint, tuner, or contact loss when known.
  6. Enter the feed impedance used by your receiver or transmitter.
  7. Press calculate and review impedance, efficiency, Q, and capacitance.
  8. Download CSV or PDF for project records.

Understanding Loop Antenna Impedance

Loop antennas look simple. Their impedance is not simple. A small loop can have tiny radiation resistance. It can also have large inductive reactance. The useful feed value depends on frequency, area, turns, conductor size, and loss.

Why Impedance Matters

The transmitter sees the loop as a complex load. The real part contains radiation resistance and loss resistance. Radiation resistance creates useful radio waves. Loss resistance becomes heat. The imaginary part is mostly inductive. A tuning capacitor is often used to cancel it at the selected frequency.

Key Design Factors

Area is very important. Doubling loop area can greatly raise radiation resistance. More turns also raise radiation resistance, but they increase inductance and loss. A thick conductor lowers AC loss. Copper usually performs better than aluminum. Short connections and clean joints help.

Small Loop Limits

The common small loop formula works best when loop circumference is far below one wavelength. Many builders use one tenth wavelength as a rough upper boundary. Larger loops need fuller antenna modeling. Nearby metal, soil, height, feed method, and enclosure materials can also change measured values.

Using The Calculator

Enter the operating frequency first. Then choose the loop shape and dimension mode. Add conductor diameter, turns, material, and extra loss. The calculator estimates inductance, radiation resistance, loss resistance, reactance, efficiency, Q, resonating capacitance, and mismatch against a chosen feed impedance.

Practical Interpretation

Very low radiation resistance is normal for compact loops. Efficiency improves when radiation resistance is large compared with loss resistance. High Q means narrow bandwidth. This can be useful for selectivity, but it also makes tuning sensitive. A very small capacitor change may shift resonance.

Design Advice

Use estimates as a starting point. Build the loop with strong joints. Keep the feed and tuning parts short. Measure the final antenna with an analyzer. Adjust the capacitor and coupling method after testing. Real antennas always include construction details that formulas cannot fully capture.

Safety And Power Handling

High RF voltage can appear across the tuning capacitor. This is common with high Q loops. Use parts rated for the planned power. Keep fingers away during transmission. Add strain relief, weather protection, and secure mounting when the loop is used outdoors safely.

FAQs

What is loop antenna impedance?

It is the complex load seen at the feed point. It includes resistance and reactance. Resistance includes radiation and loss. Reactance is usually inductive before tuning.

Why is radiation resistance so low?

Small loops have limited area compared with wavelength. That makes radiation resistance very small. A larger area or more turns can raise it, but loss and inductance also change.

What does the tuning capacitance mean?

It is the approximate series capacitance needed to cancel inductive reactance at the entered frequency. Real tuning may differ because of stray capacitance and construction details.

Can I use this for transmitting loops?

Yes, it gives starting estimates. High power loops can develop high RF voltage. Use suitable capacitors, safe spacing, strong joints, and final measurements before operation.

Why does conductor diameter matter?

Thicker conductors reduce AC resistance. Lower loss resistance improves efficiency. This is especially important when radiation resistance is very small.

What is a good efficiency value?

Higher is better. Small portable loops may have modest efficiency. A value above fifty percent is useful. Very low values mean most input power becomes heat.

Why is Q important?

Q shows how sharply tuned the loop is. High Q gives narrow bandwidth. It may improve selectivity, but it also makes tuning more sensitive.

Are square loop results exact?

No. The calculator uses an equivalent circular radius for square loops. It is useful for planning, but final impedance should be checked with an antenna analyzer.


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Important Note: All the Calculators listed in this site are for educational purpose only and we do not guarentee the accuracy of results. Please do consult with other sources as well.