Characteristic Impedance of Transmission Line Calculator

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Transmission Line Characteristics

Transmission Line & Antenna Theory

✖Inductance refers to the property of an antenna element or a complete antenna structure to store electromagnetic energy in the form of a magnetic field.ⓘ Inductance [L]			+10% -10%
✖Capacitance is the ratio of the amount of electric charge stored on a conductor to a difference in electric potential.ⓘ Capacitance [C]			+10% -10%

✖Characteristics Impedance of Transmission Line (Z0) is the ratio of voltage to current in a wave propagating along the line.ⓘ Characteristic Impedance of Transmission Line [Z_o]

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Formula

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Characteristic Impedance of Transmission Line

Formula

`"Z"_{"o"} = sqrt("L"/"C")`

Example

`"19.80676Ω"=sqrt("5.1mH"/"13μF")`

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Characteristic Impedance of Transmission Line Solution

STEP 0: Pre-Calculation Summary

Formula Used

Characteristics Impedance of Transmission Line = sqrt(Inductance/Capacitance)
Z_o = sqrt(L/C)
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.
Inductance - (Measured in Henry) - Inductance refers to the property of an antenna element or a complete antenna structure to store electromagnetic energy in the form of a magnetic field.
Capacitance - (Measured in Farad) - Capacitance is the ratio of the amount of electric charge stored on a conductor to a difference in electric potential.

STEP 1: Convert Input(s) to Base Unit

Inductance: 5.1 Millihenry --> 0.0051 Henry (Check conversion here)
Capacitance: 13 Microfarad --> 1.3E-05 Farad (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Z_o = sqrt(L/C) --> sqrt(0.0051/1.3E-05)

Evaluating ... ...

Z_o = 19.8067587532057

STEP 3: Convert Result to Output's Unit

19.8067587532057 Ohm --> No Conversion Required

FINAL ANSWER

19.8067587532057 ≈ 19.80676 Ohm <-- Characteristics Impedance of Transmission Line

(Calculation completed in 00.020 seconds)

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Created by Vidyashree V

BMS College of Engineering (BMSCE), Bangalore

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Verified by Saiju Shah

Jayawantrao Sawant College of Engineering (JSCOE), Pune

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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

Characteristic Impedance of Transmission Line Formula

Characteristics Impedance of Transmission Line = sqrt(Inductance/Capacitance)
Z_o = sqrt(L/C)

How crucial is Characteristic Impedance?

characteristic impedance is crucial for minimizing signal reflections and ensuring maximum power transfer along the transmission line. When the characteristic impedance of a transmission line matches the impedance of the connected devices (such as antennas, transmitters, or receivers), it helps in preventing signal reflections and optimizing the performance of the system

How to Calculate Characteristic Impedance of Transmission Line?

Characteristic Impedance of Transmission Line calculator uses Characteristics Impedance of Transmission Line = sqrt(Inductance/Capacitance) to calculate the Characteristics Impedance of Transmission Line, The Characteristic Impedance of Transmission Line formula is defined as is the ratio of voltage to current in a wave propagating along the line. The steady state vector ratio of the voltage to the circuit at the input of an infinite line. Characteristics Impedance of Transmission Line is denoted by Z_o symbol.

How to calculate Characteristic Impedance of Transmission Line using this online calculator? To use this online calculator for Characteristic Impedance of Transmission Line, enter Inductance (L) & Capacitance (C) and hit the calculate button. Here is how the Characteristic Impedance of Transmission Line calculation can be explained with given input values -> 19.80676 = sqrt(0.0051/1.3E-05).

FAQ

What is Characteristic Impedance of Transmission Line?

The Characteristic Impedance of Transmission Line formula is defined as is the ratio of voltage to current in a wave propagating along the line. The steady state vector ratio of the voltage to the circuit at the input of an infinite line and is represented as Z_o = sqrt(L/C) or Characteristics Impedance of Transmission Line = sqrt(Inductance/Capacitance). Inductance refers to the property of an antenna element or a complete antenna structure to store electromagnetic energy in the form of a magnetic field & Capacitance is the ratio of the amount of electric charge stored on a conductor to a difference in electric potential.

How to calculate Characteristic Impedance of Transmission Line?

The Characteristic Impedance of Transmission Line formula is defined as is the ratio of voltage to current in a wave propagating along the line. The steady state vector ratio of the voltage to the circuit at the input of an infinite line is calculated using Characteristics Impedance of Transmission Line = sqrt(Inductance/Capacitance). To calculate Characteristic Impedance of Transmission Line, you need Inductance (L) & Capacitance (C). With our tool, you need to enter the respective value for Inductance & Capacitance 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 Inductance & Capacitance. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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