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
FINAL ANSWER
19.8080791597772 19.80808 Ohm <-- Characteristics Impedance of Transmission Line
(Calculation completed in 00.004 seconds)

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Created by Pranav Simha R
BMS College of Engineering (BMSCE), Bangalore,India
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15 Transmission Line Characteristics Calculators

Reflection Coefficient in Transmission Line
Go Reflection Coefficient = (Load Impedance of Transmission Line-Characteristics Impedance of Transmission Line)/(Load Impedance of Transmission Line+Characteristics Impedance of Transmission Line)
Resistance at Second Temperature
Go Final Resistance = Initial Resistance*((Temperature Coefficient+Final Temperature)/(Temperature Coefficient+Initial Temperature))
Impedance Matching in Single Section Quarter Wave Line
Go Characteristics Impedance of Transmission Line = sqrt(Load Impedance of Transmission Line*Source Impedance)
Insertion Loss in Transmission Line
Go Insertion Loss = 10*log10(Power Transmitted Before Insertion/Power Received After Insertion)
Return Loss by Means of VSWR
Go Return Loss = 20*log10((Voltage Standing Wave Ratio+1)/(Voltage Standing Wave Ratio-1))
Bandwidth of Antenna
Go Bandwidth of Antenna = 100*((Highest Frequency-Lowest Frequency)/Centre Frequency)
Length of Wound Conductor
Go Length of Wound Conductor = sqrt(1+(pi/Relative Pitch of Wound Conductor)^2)
Characteristic Impedance of Transmission Line
Go Characteristics Impedance of Transmission Line = sqrt(Inductance/Capacitance)
Voltage Standing Wave Ratio (VSWR)
Go Voltage Standing Wave Ratio = (1+Reflection Coefficient)/(1-Reflection Coefficient)
Conductance of Distortionless Line
Go Conductance = (Resistance*Capacitance)/Inductance
Relative Pitch of Wound Conductor
Go Relative Pitch of Wound Conductor = (Length of Spiral/(2*Radius of Layer))
Current Standing Wave Ratio (CSWR)
Go Current Standing Wave Ratio = Current Maxima/Current Minima
Standing Wave Ratio
Go Standing Wave Ratio (SWR) = Voltage Maxima/Voltage Minima
Wavelength of Line
Go Wavelength = (2*pi)/Propagation Constant
Phase Velocity in Transmission Lines
Go Phase Velocity = Wavelength*Frequency

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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