Cable Impedance Calculator
Calculate characteristic impedance, capacitance, inductance, and propagation delay for coaxial and twisted pair cables from geometry and dielectric constant.
What Is Cable Characteristic Impedance?
Characteristic impedance is the effective AC resistance a transmission line presents to a signal. Matching source, cable, and load impedance reduces reflections and signal loss. Coaxial and twisted-pair cables use geometry and dielectric material to set this value.
Impedance Formulas
Coaxial cable:
$$\text{Impedance} = \frac{60 \times \ln(D/d)}{\sqrt{\varepsilon_r}}$$Twisted pair:
$$\text{Impedance} = \frac{120 \times \ln(2s/d)}{\sqrt{\varepsilon_r}}$$Here $d$ is inner conductor diameter, $D$ is inner shield diameter, $s$ is wire spacing, and $\varepsilon_r$ is the dielectric relative permittivity. Common coax values are 50 Ω and 75 Ω.
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Frequently Asked Questions
Why is 50 Ω common for RF coax?
50 Ω balances low attenuation and power handling for many RF applications. Video coax often uses 75 Ω for lower loss at high frequency.
What dielectric value should I use?
PTFE is about 2.1, polyethylene about 2.3, and foam dielectrics can be lower. Check the cable datasheet for exact $\varepsilon_r$.
How is propagation delay calculated?
Signal speed is $c / \sqrt{\varepsilon_r}$. Delay equals cable length divided by that velocity.
What is coax cutoff frequency?
It is the frequency where higher-order wave modes can propagate. Below cutoff, only the TEM mode is supported in ideal coax.
Do I need twisted pair or coax inputs?
Coax needs inner and shield diameters. Twisted pair needs conductor diameter and center-to-center wire spacing.