Lossless Transmission Line Characteristic Impedance Formula & Calculator
 

transmission line characteristic impedance Z_{0} 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. Z_{0} 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 Z_{0} 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 Z_{0}.
Example Problem
Find the characteristic impedance Z_{0} 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 Z_{0} = √(L/C)
substitute the values in the above formula
= √(25 x 10^{3}/15 x 10^{4})
Z_{0} = 4.082 Ω
In the field of electrical engineering, it's important to calculate the characteristic impedance Z_{0} 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.