Impedance using A Parameter in Nominal Pi Method Calculator

✖A Parameter in PI is a generalized line constant in a two port transmission line.ⓘ A Parameter in PI [A_pi]			+10% -10%
✖Admittance in PI is the mathematical inverse of the impedance in a medium transmission line.ⓘ Admittance in PI [Y_pi]			+10% -10%

✖Impedance in PI is defined as the amount of opposition faced by the direct or alternating current when it passes through a conductor component, circuit.ⓘ Impedance using A Parameter in Nominal Pi Method [Z_pi]

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Formula

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Impedance using A Parameter in Nominal Pi Method

Formula

`"Z"_{"pi"} = 2*("A"_{"pi"}-1)/"Y"_{"pi"}`

Example

`"9.047619Ω"=2*("1.095"-1)/"0.021S"`

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Impedance using A Parameter in Nominal Pi Method Solution

STEP 0: Pre-Calculation Summary

Formula Used

Impedance in PI = 2*(A Parameter in PI-1)/Admittance in PI
Z_pi = 2*(A_pi-1)/Y_pi
This formula uses 3 Variables

Variables Used

Impedance in PI - (Measured in Ohm) - Impedance in PI is defined as the amount of opposition faced by the direct or alternating current when it passes through a conductor component, circuit.
A Parameter in PI - A Parameter in PI is a generalized line constant in a two port transmission line.
Admittance in PI - (Measured in Siemens) - Admittance in PI is the mathematical inverse of the impedance in a medium transmission line.

STEP 1: Convert Input(s) to Base Unit

A Parameter in PI: 1.095 --> No Conversion Required
Admittance in PI: 0.021 Siemens --> 0.021 Siemens No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Z_pi = 2*(A_pi-1)/Y_pi --> 2*(1.095-1)/0.021

Evaluating ... ...

Z_pi = 9.04761904761904

STEP 3: Convert Result to Output's Unit

9.04761904761904 Ohm --> No Conversion Required

FINAL ANSWER

9.04761904761904 ≈ 9.047619 Ohm <-- Impedance in PI

(Calculation completed in 00.004 seconds)

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< 20 Nominal Pi-Method in Medium Line Calculators

Receiving End Current using Transmission Efficiency in Nominal Pi Method

Go Receiving End Current in PI = (Transmission Efficiency in PI*Sending End Power in PI)/(3*Receiving End Voltage in PI*(cos(Receiving End Phase Angle in PI)))

Receiving End Angle using Transmission Efficiency in Nominal Pi Method

Go Receiving End Phase Angle in PI = acos((Transmission Efficiency in PI*Sending End Power in PI)/(3*Receiving End Current in PI*Receiving End Voltage in PI))

Sending End Voltage using Transmission Efficiency in Nominal Pi Method

Go Sending End Voltage in PI = Receiving End Power in PI/(3*cos(Sending End Phase Angle in PI)*Sending End Current in PI)/Transmission Efficiency in PI

Sending End Current using Transmission Efficiency in Nominal Pi Method

Go Sending End Current in PI = Receiving End Power in PI/(3*cos(Sending End Phase Angle in PI)*Transmission Efficiency in PI*Sending End Voltage in PI)

Receiving End Voltage using Sending End Power in Nominal Pi Method

Go Receiving End Voltage in PI = (Sending End Power in PI-Power Loss in PI)/(Receiving End Current in PI*cos(Receiving End Phase Angle in PI))

Load Current using Transmission Efficiency in Nominal Pi Method

Go Load Current in PI = sqrt(((Receiving End Power in PI/Transmission Efficiency in PI)-Receiving End Power in PI)/Resistance in PI*3)

Voltage Regulation (Nominal Pi Method)

Go Voltage Regulation in PI = (Sending End Voltage in PI-Receiving End Voltage in PI)/Receiving End Voltage in PI

Losses using Transmission Efficiency in Nominal Pi Method

Go Power Loss in PI = (Receiving End Power in PI/Transmission Efficiency in PI)-Receiving End Power in PI

B Parameter for Reciprocal Network in Nominal Pi Method

Go B Parameter in PI = ((A Parameter in PI*D Parameter in PI)-1)/C Parameter in PI

C Parameter in Nominal Pi Method

Go C Parameter in PI = Admittance in PI*(1+(Admittance in PI*Impedance in PI/4))

Load Current using Losses in Nominal Pi Method

Go Load Current in PI = sqrt(Power Loss in PI/Resistance in PI)

Receiving End Voltage using Voltage Regulation in Nominal Pi Method

Go Receiving End Voltage in PI = Sending End Voltage in PI/(Voltage Regulation in PI+1)

Sending End Voltage using Voltage Regulation in Nominal Pi Method

Go Sending End Voltage in PI = Receiving End Voltage in PI*(Voltage Regulation in PI+1)

Sending End Power using Transmission Efficiency in Nominal Pi Method

Go Sending End Power in PI = Receiving End Power in PI/Transmission Efficiency in PI

Transmission Efficiency (Nominal Pi Method)

Go Transmission Efficiency in PI = Receiving End Power in PI/Sending End Power in PI

Impedance using A Parameter in Nominal Pi Method

Go Impedance in PI = 2*(A Parameter in PI-1)/Admittance in PI

A-Parameter in Nominal Pi Method

Go A Parameter in PI = 1+(Admittance in PI*Impedance in PI/2)

D Parameter in Nominal Pi Method

Go D Parameter in PI = 1+(Impedance in PI*Admittance in PI/2)

Losses in Nominal Pi Method

Go Power Loss in PI = (Load Current in PI^2)*Resistance in PI

Resistance using Losses in Nominal Pi Method

Go Resistance in PI = Power Loss in PI/Load Current in PI^2

Impedance using A Parameter in Nominal Pi Method Formula

Impedance in PI = 2*(A Parameter in PI-1)/Admittance in PI
Z_pi = 2*(A_pi-1)/Y_pi

What is nominal PI method?

In the nominal pi model of a medium transmission line, the series impedance of the line is concentrated at the center and half of each capacitance is placed at the center of the line.

How to Calculate Impedance using A Parameter in Nominal Pi Method?

Impedance using A Parameter in Nominal Pi Method calculator uses Impedance in PI = 2*(A Parameter in PI-1)/Admittance in PI to calculate the Impedance in PI, The Impedance using A Parameter in Nominal Pi method formula is defined as a measure of the overall opposition of a circuit to current, in other words: how much the circuit impedes the flow of charge. It is like resistance, but it also takes into account the effects of capacitance and inductance. Impedance is measured in ohms. Impedance in PI is denoted by Z_pi symbol.

How to calculate Impedance using A Parameter in Nominal Pi Method using this online calculator? To use this online calculator for Impedance using A Parameter in Nominal Pi Method, enter A Parameter in PI (A_pi) & Admittance in PI (Y_pi) and hit the calculate button. Here is how the Impedance using A Parameter in Nominal Pi Method calculation can be explained with given input values -> 8.666667 = 2*(1.095-1)/0.021.

FAQ

What is Impedance using A Parameter in Nominal Pi Method?

The Impedance using A Parameter in Nominal Pi method formula is defined as a measure of the overall opposition of a circuit to current, in other words: how much the circuit impedes the flow of charge. It is like resistance, but it also takes into account the effects of capacitance and inductance. Impedance is measured in ohms and is represented as Z_pi = 2*(A_pi-1)/Y_pi or Impedance in PI = 2*(A Parameter in PI-1)/Admittance in PI. A Parameter in PI is a generalized line constant in a two port transmission line & Admittance in PI is the mathematical inverse of the impedance in a medium transmission line.

How to calculate Impedance using A Parameter in Nominal Pi Method?

The Impedance using A Parameter in Nominal Pi method formula is defined as a measure of the overall opposition of a circuit to current, in other words: how much the circuit impedes the flow of charge. It is like resistance, but it also takes into account the effects of capacitance and inductance. Impedance is measured in ohms is calculated using Impedance in PI = 2*(A Parameter in PI-1)/Admittance in PI. To calculate Impedance using A Parameter in Nominal Pi Method, you need A Parameter in PI (A_pi) & Admittance in PI (Y_pi). With our tool, you need to enter the respective value for A Parameter in PI & Admittance in PI 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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