Coaxial cable impedance calculator
Work out the characteristic impedance of a coaxial cable from its dimensions and dielectric — or the dimensions for a target 50/75 Ω.
Cable dimensions
Centre conductor, in mm
Measured inside the shield, in mm
Dielectric
Pick a common dielectric or enter your own constant.
Characteristic impedance
- Characteristic impedance
- 52.98Ω
- Capacitance per metre
- 91.4pF/m
- Inductance per metre
- 0.256µH/m
- Velocity factor
- 0.69
- Propagation delay
- 4.83ns/m
Custom impedance — between the 50 Ω and 75 Ω standards. Adjust D/d to move toward either.
The 50 Ω standard balances power handling against loss; 75 Ω minimizes loss for video. Keep D/d ≈ 2.30 for 50 Ω in air (PTFE ≈ 3.07 for 50 Ω).
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Frequently asked questions
What determines the characteristic impedance of a coax cable?
Impedance is set by the ratio D/d — outer (dielectric) diameter over inner conductor diameter — and the dielectric constant: Z₀ = 138 × log₁₀(D/d) / √εr. A higher D/d ratio raises impedance; a higher εr dielectric lowers it. The absolute size of the cable does not matter, only the ratio.
What D/d ratio gives 50 Ω in air?
In air (εr = 1.0) a D/d ratio of about 2.30 gives 50 Ω, because 138 × log₁₀(2.30) ≈ 50. With PTFE (εr = 2.1) the same 50 Ω needs a higher ratio of about 3.07, which is why the calculator recomputes impedance when you change the dielectric.
Why are most coax cables 50 Ω or 75 Ω?
The 50 Ω standard balances power handling against loss and is used for RF and general-purpose systems; 75 Ω minimizes attenuation and is the video/antenna standard. The calculator shows a verdict when the result lands within 2 Ω of either standard — matching connector impedance is required to avoid reflections.
How it works
IC Source Direct sizes coax the same way the RF industry does. Characteristic impedance follows Z₀ = 138 × log₁₀(D/d) / √εr, where D is the outer (dielectric) diameter, d the inner conductor diameter and εr the dielectric constant. Capacitance and inductance per metre follow C ≈ 24.2εr / log₁₀(D/d) pF/m and L ≈ 0.46 log₁₀(D/d) µH/m, and the velocity factor is VF = 1/√εr. The ratio D/d sets the impedance; the dielectric scales it down.
IC Source Direct provides this tool for reference only.
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