Transmission Line Terminal Voltage Magnitude Formula & Calculator
 

terminal voltage magnitude calculator  step by step calculation, formula & solved example problem to find the terminal voltage magnitude of lossless transmission line or medium. V_{src}  source voltage, Z_{0}  characteristic impedance & R_{src}  source resistance are the key terms of this calculation.
Formula
The below mathematical formula is used in this calculator to find the terminal voltage magnitude 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 output voltage magnitude with respect to source voltage and characteristic impedance.
Example Problem
Find the terminal or output voltage magnitude of the lossless transmission line whose source voltage V_{src} = 10 kilo volts, source resistance R_{src} = 2 kilo Ω & characteristic impedance Z_{0} = 7 kilo ohms.
Solution
The given data
voltage V_{src} = 10 kilo volts
source resistance R_{src} = 2 kilo Ω
characteristic impedance Z_{0} = 7 kilo Ω
Step by step calculation
Formula to find V_{term} = V_{src} x (Z_{0})/(R_{src} + Z_{0})
substitute the values in the above formula
= 10000 x (7000/(2000 + 7000))
V_{term} = 7.7 kilo volts
In the field of electrical engineering, it's important to calculate the terminal voltage to analyse the transmission lines characteristics. 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 terminal voltage of the lossless transmission line due to source resistance & characteristic impedance, however, when it comes to online for quick calculations, this calculator helps the user to perform & verify such calculations as quick as possible.