Twin Lead Ohm Calculator

Design balanced twin lead with detailed impedance results. Review capacitance, inductance, delay, velocity, and loss. Export reports, compare examples, and tune dimensions with confidence.

Calculator

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Example Data Table

Example Spacing Diameter Effective dielectric Typical result Use case
Air spaced line 20 mm 1.6 mm 1.02 About 382 ohms Low loss antenna feed
Ribbon twin lead 10 mm 1 mm 1.38 About 306 ohms Balanced feed line
Compact line 6 mm 1 mm 2.25 About 198 ohms Short matching section

Formula Used

The calculator uses the balanced two-wire transmission line model.

Effective dielectric constant: εeff = 1 + (εr - 1) × fill factor

Characteristic impedance: Z0 = 120 × acosh(D / d) / √εeff

Wide spacing estimate: Z0 ≈ 276 × log10(2D / d) / √εeff

Capacitance: C = π × ε0 × εeff / acosh(D / d)

Inductance: L = μ0 × acosh(D / d) / π

Velocity factor: VF = 1 / √εeff

Reflection coefficient: Γ = (ZL - Z0) / (ZL + Z0)

Here, D is center spacing. d is conductor diameter. ZL is the load impedance.

How to Use This Calculator

Enter the center spacing between the two conductors.

Enter the bare conductor diameter. Select matching units.

Add the dielectric constant of the insulation material.

Use fill factor for partial insulation or air spacing.

Enter frequency and line length for delay and loss results.

Add conductivity, loss tangent, and load impedance if needed.

Press Calculate. The result appears above the form.

Use the CSV or PDF buttons to save the report.

Understanding Twin Lead Impedance

Twin lead is a balanced transmission line. It uses two parallel conductors. The spacing between conductor centers is important. The conductor diameter is also important. Together, these dimensions set the characteristic impedance. The calculator estimates that impedance in ohms. It also reports line properties that affect signal behavior.

Why Dimensions Matter

A wider spacing usually raises impedance. A larger conductor diameter usually lowers impedance. Dielectric material lowers impedance because it stores more electric field energy. Open wire line often has an effective dielectric close to air. Ribbon cable may have a higher value. The fill factor lets you model partial insulation.

Useful RF Details

A good design needs more than one number. Capacitance and inductance describe energy storage per meter. Velocity factor shows how fast the signal travels. Delay helps when a feed line is used as a phasing section. Electrical length converts the physical line into degrees at the selected frequency. This is useful for antennas, baluns, tuners, and matching stubs.

Loss and Matching

Real conductors have resistance. At radio frequencies, skin effect increases the effective resistance. The tool estimates that effect from frequency, conductor diameter, and conductivity. Dielectric loss is also estimated from the loss tangent. These numbers are approximate. They are still useful for comparing designs.

Load impedance is another important option. The calculator compares the load with the calculated line impedance. It returns reflection coefficient, standing wave ratio, and mismatch loss. These values show how well the line is terminated.

Practical Design Notes

Use accurate dimensions. Measure center spacing from the middle of one wire to the middle of the other wire. Measure conductor diameter without insulation unless the conductor itself includes plating. Choose the dielectric constant that best matches the material around the fields. For common polyethylene, values near 2.25 are often used. For mostly air spaced line, use a value near 1 and a low fill factor.

This calculator is intended for planning and education. It does not replace laboratory measurements. Connectors, bends, moisture, nearby metal, and manufacturing tolerances can change results. Still, it gives a strong starting point. Use it to compare dimensions, estimate impedance, and prepare export reports for documentation.

Before building a final feed line assembly.

FAQs

What is twin lead impedance?

It is the characteristic impedance of two parallel conductors. It depends mainly on center spacing, conductor diameter, and dielectric material.

What does center spacing mean?

Center spacing is the distance from the center of one conductor to the center of the other conductor.

Why must spacing be larger than diameter?

The two conductors must be separate. If spacing is not larger than diameter, the geometry is invalid for this model.

What dielectric constant should I use?

Use 1 for air. Use the material value for solid insulation. Polyethylene is often near 2.25.

What is dielectric fill factor?

It estimates how much of the electric field passes through insulation. Use low values for mostly air spaced line.

Does this calculate line loss?

Yes. It estimates conductor loss and dielectric loss. Real installed loss can differ because of bends, weather, and nearby objects.

What is velocity factor?

Velocity factor is signal speed in the line divided by light speed. A higher dielectric constant lowers velocity factor.

Can I export the results?

Yes. After calculation, use the CSV or PDF button to download the current result report.

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