Lossless Transmission Line Characteristic Impedance Formula & Calculator



Characteristic Impedance Z0 Calculation

L - Impedance (henry)
C - Capacitance (farads)
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transmission line characteristic impedance Z0 calculator - step by step calculation, formula & solved example problem to find the characteristic impedance of the lossless transmission line. Unit length of inductance L & unit length of capacitance C are the key elements of this calculation. Z0 unit of measurement is ohms (&ohms;) is also known as surge impedance.

Formula

The below mathematical formula is used in this calculator to find the characteristic impedance Z0 of the lossless transmission line
formula to calculate characteristic impedance Z<sub>0</sub> of the lossless transmission line

Solved Example

The below step by step solved example problem may helpful for users to understand how the input values are being used in such calculations to find the lossless transmission line surge or characteristic impedance Z0.
Example Problem
Find the characteristic impedance Z0 of the lossless transmission line whose unit length of inductance L = 25 x 10-3 Henry & unit length of capacitance C = 15 x 10-4 farads.
Solution
The given data
unit length of inductance L = 25 x 10-3 Henry
unit length of capacitance C = 15 x 10-4 farads

Step by step calculation
Formula to find Z0 = √(L/C)
substitute the values in the above formula
= √(25 x 10-3/15 x 10-4)
Z0 = 4.082 Ω

In the field of electrical engineering, it's important to calculate the characteristic impedance Z0 to analyse the transmission lines. The above formula, step by step calculation & solved example problem may be useful for users to understand how the values are being used in the formula to find the surge or characteristic impedance of the transmission line, however, when it comes to online for quick calculations, this calculator helps the user to perform & verify such calculations as quick as possible.