Characteristic Impedance using B Parameter (LTL) Solution

STEP 0: Pre-Calculation Summary
Formula Used
Characteristic Impedance = B Parameter/(sinh(Propagation Constant*Length))
Z0 = B/(sinh(γ*L))
This formula uses 1 Functions, 4 Variables
Functions Used
sinh - The hyperbolic sine function, also known as the sinh function, is a mathematical function that is defined as the hyperbolic analogue of the sine function., sinh(Number)
Variables Used
Characteristic Impedance - (Measured in Ohm) - Characteristic Impedanceis defined as the ratio of the amplitudes of voltage and current of a single wave propagating along the transmission line.
B Parameter - (Measured in Ohm) - B parameter is a generalized line constant. also known as short circuit resistance in a transmission line.
Propagation Constant - Propagation Constant is defined as the measure of the change in amplitude and phase per unit distance in a transmission line.
Length - (Measured in Meter) - Length is defined as the end to end distance of the conductor used in a long transmission line.
STEP 1: Convert Input(s) to Base Unit
B Parameter: 1050 Ohm --> 1050 Ohm No Conversion Required
Propagation Constant: 1.24 --> No Conversion Required
Length: 3 Meter --> 3 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Z0 = B/(sinh(γ*L)) --> 1050/(sinh(1.24*3))
Evaluating ... ...
Z0 = 50.9212377651315
STEP 3: Convert Result to Output's Unit
50.9212377651315 Ohm --> No Conversion Required
FINAL ANSWER
50.9212377651315 50.92124 Ohm <-- Characteristic Impedance
(Calculation completed in 00.004 seconds)

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12 Impedance & Admittance Calculators

Characteristic Impedance using Sending End Current (LTL)
Go Characteristic Impedance = (Receiving End Voltage*sinh(Propagation Constant*Length))/(Sending End Current-Receiving End Current*cosh(Propagation Constant*Length))
Characteristic Impedance using Sending End Voltage (LTL)
Go Characteristic Impedance = (Sending End Voltage-Receiving End Voltage*cosh(Propagation Constant*Length))/(sinh(Propagation Constant*Length)*Receiving End Current)
Characteristic Impedance using B Parameter (LTL)
Go Characteristic Impedance = B Parameter/(sinh(Propagation Constant*Length))
Characteristic Impedance using C Parameter (LTL)
Go Characteristic Impedance = 1/C Parameter*sinh(Propagation Constant*Length)
Characteristic Impedance (LTL)
Go Characteristic Impedance = sqrt(Impedance/Admittance)
Surge Impedance (LTL)
Go Surge Impedance = sqrt(Inductance/Capacitance)
Admittance using Characteristic Impedance (LTL)
Go Admittance = Impedance/(Characteristic Impedance^2)
Impedance using Characteristic Impedance (LTL)
Go Impedance = Characteristic Impedance^2*Admittance
Admittance using Propagation Constant (LTL)
Go Admittance = (Propagation Constant^2)/Impedance
Impedance using Propagation Constant (LTL)
Go Impedance = Propagation Constant^2/Admittance
Capacitance using Surge Impedance (LTL)
Go Capacitance = Inductance/(Surge Impedance^2)
Inductance using Surge Impedance (LTL)
Go Inductance = Capacitance*Surge Impedance^2

Characteristic Impedance using B Parameter (LTL) Formula

Characteristic Impedance = B Parameter/(sinh(Propagation Constant*Length))
Z0 = B/(sinh(γ*L))

What are the 4 parameters of a line?

The transmission line has mainly four parameters, resistance, inductance, capacitance, and shunt conductance. These parameters are uniformly distributed along the line. Hence, it is also called the distributed parameter of the transmission line.

How to Calculate Characteristic Impedance using B Parameter (LTL)?

Characteristic Impedance using B Parameter (LTL) calculator uses Characteristic Impedance = B Parameter/(sinh(Propagation Constant*Length)) to calculate the Characteristic Impedance, The Characteristic Impedance using B Parameter (LTL) formula is defined as a uniform transmission line is the ratio of the amplitudes of voltage and current of a single wave propagating along the line. Characteristic Impedance is denoted by Z0 symbol.

How to calculate Characteristic Impedance using B Parameter (LTL) using this online calculator? To use this online calculator for Characteristic Impedance using B Parameter (LTL), enter B Parameter (B), Propagation Constant (γ) & Length (L) and hit the calculate button. Here is how the Characteristic Impedance using B Parameter (LTL) calculation can be explained with given input values -> 0.557709 = 1050/(sinh(1.24*3)).

FAQ

What is Characteristic Impedance using B Parameter (LTL)?
The Characteristic Impedance using B Parameter (LTL) formula is defined as a uniform transmission line is the ratio of the amplitudes of voltage and current of a single wave propagating along the line and is represented as Z0 = B/(sinh(γ*L)) or Characteristic Impedance = B Parameter/(sinh(Propagation Constant*Length)). B parameter is a generalized line constant. also known as short circuit resistance in a transmission line, Propagation Constant is defined as the measure of the change in amplitude and phase per unit distance in a transmission line & Length is defined as the end to end distance of the conductor used in a long transmission line.
How to calculate Characteristic Impedance using B Parameter (LTL)?
The Characteristic Impedance using B Parameter (LTL) formula is defined as a uniform transmission line is the ratio of the amplitudes of voltage and current of a single wave propagating along the line is calculated using Characteristic Impedance = B Parameter/(sinh(Propagation Constant*Length)). To calculate Characteristic Impedance using B Parameter (LTL), you need B Parameter (B), Propagation Constant (γ) & Length (L). With our tool, you need to enter the respective value for B Parameter, Propagation Constant & Length 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 Characteristic Impedance?
In this formula, Characteristic Impedance uses B Parameter, Propagation Constant & Length. We can use 4 other way(s) to calculate the same, which is/are as follows -
  • Characteristic Impedance = 1/C Parameter*sinh(Propagation Constant*Length)
  • Characteristic Impedance = sqrt(Impedance/Admittance)
  • Characteristic Impedance = (Receiving End Voltage*sinh(Propagation Constant*Length))/(Sending End Current-Receiving End Current*cosh(Propagation Constant*Length))
  • Characteristic Impedance = (Sending End Voltage-Receiving End Voltage*cosh(Propagation Constant*Length))/(sinh(Propagation Constant*Length)*Receiving End Current)
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