Impedance Matching in Single Section Quarter Wave Line Solution

STEP 0: Pre-Calculation Summary
Formula Used
Characteristics Impedance of Transmission Line = sqrt(Load Impedance of Transmission Line*Source Impedance)
Zo = sqrt(ZL*Zs)
This formula uses 1 Functions, 3 Variables
Functions Used
sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)
Variables Used
Characteristics Impedance of Transmission Line - (Measured in Ohm) - Characteristics Impedance of Transmission Line (Z0) is the ratio of voltage to current in a wave propagating along the line.
Load Impedance of Transmission Line - (Measured in Ohm) - Load impedance of transmission line is the concept of connecting a device or component to the output of a functional block, thus drawing from it a measurable amount of current.
Source Impedance - (Measured in Ohm) - Source Impedance is the Impedance presented by the transmitter or signal source at the input end of the line.
STEP 1: Convert Input(s) to Base Unit
Load Impedance of Transmission Line: 68 Ohm --> 68 Ohm No Conversion Required
Source Impedance: 5.77 Ohm --> 5.77 Ohm No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Zo = sqrt(ZL*Zs) --> sqrt(68*5.77)
Evaluating ... ...
Zo = 19.8080791597772
STEP 3: Convert Result to Output's Unit
19.8080791597772 Ohm --> No Conversion Required
19.8080791597772 19.80808 Ohm <-- Characteristics Impedance of Transmission Line
(Calculation completed in 00.004 seconds)
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BMS College of Engineering (BMSCE), Bangalore,India
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Impedance Matching in Single Section Quarter Wave Line Formula

Characteristics Impedance of Transmission Line = sqrt(Load Impedance of Transmission Line*Source Impedance)
Zo = sqrt(ZL*Zs)

What is the application of Quarter wave line?

Quarter wave section of a transmission line shortened at one end can be used as an insulator using the fact that input impedance of a quarter wave shortened line is high.

How to Calculate Impedance Matching in Single Section Quarter Wave Line?

Impedance Matching in Single Section Quarter Wave Line calculator uses Characteristics Impedance of Transmission Line = sqrt(Load Impedance of Transmission Line*Source Impedance) to calculate the Characteristics Impedance of Transmission Line, The Impedance Matching in Single Section Quarter Wave Line is defined the process of adjusting the characteristic impedance of a transmission line to match the impedance of a load or source connected to the line. Characteristics Impedance of Transmission Line is denoted by Zo symbol.

How to calculate Impedance Matching in Single Section Quarter Wave Line using this online calculator? To use this online calculator for Impedance Matching in Single Section Quarter Wave Line, enter Load Impedance of Transmission Line (ZL) & Source Impedance (Zs) and hit the calculate button. Here is how the Impedance Matching in Single Section Quarter Wave Line calculation can be explained with given input values -> 19.80808 = sqrt(68*5.77).

FAQ

What is Impedance Matching in Single Section Quarter Wave Line?
The Impedance Matching in Single Section Quarter Wave Line is defined the process of adjusting the characteristic impedance of a transmission line to match the impedance of a load or source connected to the line and is represented as Zo = sqrt(ZL*Zs) or Characteristics Impedance of Transmission Line = sqrt(Load Impedance of Transmission Line*Source Impedance). Load impedance of transmission line is the concept of connecting a device or component to the output of a functional block, thus drawing from it a measurable amount of current & Source Impedance is the Impedance presented by the transmitter or signal source at the input end of the line.
How to calculate Impedance Matching in Single Section Quarter Wave Line?
The Impedance Matching in Single Section Quarter Wave Line is defined the process of adjusting the characteristic impedance of a transmission line to match the impedance of a load or source connected to the line is calculated using Characteristics Impedance of Transmission Line = sqrt(Load Impedance of Transmission Line*Source Impedance). To calculate Impedance Matching in Single Section Quarter Wave Line, you need Load Impedance of Transmission Line (ZL) & Source Impedance (Zs). With our tool, you need to enter the respective value for Load Impedance of Transmission Line & Source Impedance and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Characteristics Impedance of Transmission Line?
In this formula, Characteristics Impedance of Transmission Line uses Load Impedance of Transmission Line & Source Impedance. We can use 1 other way(s) to calculate the same, which is/are as follows -
• Characteristics Impedance of Transmission Line = sqrt(Inductance/Capacitance)
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