Characteristics Impedance of Transmission Line Solution

STEP 0: Pre-Calculation Summary
Formula Used
Characteristics impedance of a transmission line = sqrt(Inductance/Capacitance)
Z0 = sqrt(L/C)
This formula uses 1 Functions, 3 Variables
Functions Used
sqrt - Squre root function, sqrt(Number)
Variables Used
Characteristics impedance of a transmission line - (Measured in Ohm) - Characteristics impedance of a transmission line is determined by the geometry and materials of the transmission line and, for a uniform line, is not dependent on its length.
Inductance - (Measured in Henry) - Inductance is the tendency of an electric conductor to oppose a change in the electric current flowing through it.
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 Henry --> 5 Henry No Conversion Required
Capacitance: 13 Farad --> 13 Farad No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Z0 = sqrt(L/C) --> sqrt(5/13)
Evaluating ... ...
Z0 = 0.620173672946042
STEP 3: Convert Result to Output's Unit
0.620173672946042 Ohm --> No Conversion Required
FINAL ANSWER
0.620173672946042 Ohm <-- Characteristics impedance of a transmission line
(Calculation completed in 00.015 seconds)

Credits

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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Characteristics Impedance of Transmission Line
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Characteristics Impedance of Transmission Line Formula

Characteristics impedance of a transmission line = sqrt(Inductance/Capacitance)
Z0 = sqrt(L/C)

What is Characteristic impedance?

Characteristic impedanceof a uniform transmission line is the ratio of the amplitudes of voltage and current of a single wave propagating along the line; that is, a wave travelling in one direction in the absence of reflections in the other direction.

How to Calculate Characteristics Impedance of Transmission Line?

Characteristics Impedance of Transmission Line calculator uses Characteristics impedance of a transmission line = sqrt(Inductance/Capacitance) to calculate the Characteristics impedance of a transmission line, The Characteristics Impedance of Transmission Line formula is defined as the steady state vector ratio of the voltage to the circuit at the input of an infinite line. Characteristics impedance of a transmission line is denoted by Z0 symbol.

How to calculate Characteristics Impedance of Transmission Line using this online calculator? To use this online calculator for Characteristics Impedance of Transmission Line, enter Inductance (L) & Capacitance (C) and hit the calculate button. Here is how the Characteristics Impedance of Transmission Line calculation can be explained with given input values -> 0.620174 = sqrt(5/13).

FAQ

What is Characteristics Impedance of Transmission Line?
The Characteristics Impedance of Transmission Line formula is defined as the steady state vector ratio of the voltage to the circuit at the input of an infinite line and is represented as Z0 = sqrt(L/C) or Characteristics impedance of a transmission line = sqrt(Inductance/Capacitance). Inductance is the tendency of an electric conductor to oppose a change in the electric current flowing through it & Capacitance is the ratio of the amount of electric charge stored on a conductor to a difference in electric potential.
How to calculate Characteristics Impedance of Transmission Line?
The Characteristics Impedance of Transmission Line formula is defined as the steady state vector ratio of the voltage to the circuit at the input of an infinite line is calculated using Characteristics impedance of a transmission line = sqrt(Inductance/Capacitance). To calculate Characteristics 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.
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