Two Parallel Wire Capacitance Calculator

Enter radius, spacing, length, and dielectric values quickly. Get capacitance, charge, energy, and reactance results. Export clear CSV and PDF reports for engineering records.

Calculator Inputs

Formula Used

Capacitance per unit length:

C' = πε / acosh(d / 2a)

Total capacitance:

C = C' × L

Stored charge: Q = C × V

Stored energy: E = 0.5 × C × V²

Capacitive reactance: Xc = 1 / (2πfC)

Here, a is wire radius, d is center spacing, L is length, and ε equals ε0 multiplied by relative permittivity.

How to Use This Calculator

  1. Enter the wire radius and select its unit.
  2. Enter the center-to-center spacing between both wires.
  3. Enter the wire length and relative permittivity.
  4. Add voltage and frequency when charge, energy, or reactance are needed.
  5. Select the preferred output unit and precision.
  6. Press Calculate to display the result above the form.
  7. Use the CSV or PDF buttons to save the result.

Example Data Table

Radius Center spacing Length Relative permittivity Capacitance per meter Total capacitance
0.5 mm 10 mm 5 m 1.0 9.2931 pF/m 46.4654 pF
1 mm 25 mm 10 m 2.3 19.8856 pF/m 198.8560 pF
0.8 mm 15 mm 20 m 3.0 28.4970 pF/m 569.9395 pF

Practical Notes for Parallel Wire Capacitance

Two parallel wires form a distributed capacitor. The conductors store electric field energy in the space between and around them. This effect matters in feeders, test leads, sensor lines, radio work, and high voltage layouts. A small capacitance may still change timing, noise, resonance, or surge behavior. Long runs increase the total value because each meter adds another section of electric field.

Why spacing matters

The center spacing is a key input. When wires move farther apart, the capacitance per meter usually falls. When wires move closer, the field becomes stronger, and capacitance rises. The formula uses the inverse hyperbolic cosine term. This makes the change nonlinear. Very small spacing changes can matter when the insulation is thin or the wire radius is large.

Wire radius and dielectric choice

Radius also affects the result. A larger conductor creates more capacitance for the same spacing. The dielectric constant changes the field storage directly. Air is near one. Plastics, oils, ceramics, and composite insulation can be higher. Always use the effective dielectric constant when the field passes through more than one material. For open wire pairs, air is often the main dielectric. For jacketed cable, the insulation dominates more strongly.

Using the answer

The calculator reports capacitance per meter and total capacitance. The total value is useful for charge, stored energy, and reactance checks. Charge shows how much electric charge is stored at a selected voltage. Stored energy helps with discharge and safety review. Capacitive reactance shows how strongly the wire pair blocks alternating current at a chosen frequency.

Design guidance

Use realistic dimensions. Enter center-to-center distance, not gap distance. Ensure spacing is greater than the wire diameter. Otherwise the geometry is impossible. For precision work, compare the estimate with measured cable data. Nearby shields, ground planes, conduit, moisture, and twisting can change the real value. Still, the two-wire equation gives a strong first estimate. It helps designers compare choices before building a prototype. It also supports classroom work because each variable has a clear physical meaning. Increase spacing to lower capacitance. Increase length, radius, or dielectric constant to raise it. Use these trends during layout review. Document assumptions so later maintenance stays clear and traceable.

FAQs

What is capacitance between two parallel wires?

It is the ability of the wire pair to store electric charge due to the electric field between and around the conductors.

Should I enter diameter or radius?

Enter radius only. If you know diameter, divide it by two before entering the value.

What spacing should I use?

Use center-to-center spacing between the two wires. Do not use the empty gap between insulation surfaces.

Why must spacing exceed wire diameter?

If center spacing is not greater than diameter, the two round conductors overlap. That makes the geometry physically invalid.

What relative permittivity should I enter for air?

Use 1 for most practical air calculations. For high precision, use a more exact value from your dielectric data.

Does wire length affect capacitance?

Yes. Capacitance per meter is multiplied by length. Longer parallel runs have higher total capacitance.

What does capacitive reactance mean?

It is the opposition offered by the capacitance to alternating current. It falls when frequency or capacitance increases.

Can this replace cable manufacturer data?

No. Use it for estimation and comparison. Manufacturer data is better for final cable selection and compliance work.


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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.