B Parameter for Reciprocal Network 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%
✖D Parameter in PI is a generalized line constant in a transmission line.ⓘ D Parameter in PI [D_pi]			+10% -10%
✖C Parameter in PI is a generalized line constant. also known as an open circuit conductance in a transmission line.ⓘ C Parameter in PI [C_pi]			+10% -10%

✖B Parameter in PI is a generalized line constant. also known as short circuit resistance in a transmission line.ⓘ B Parameter for Reciprocal Network in Nominal Pi Method [B_pi]

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Formula

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B Parameter for Reciprocal Network in Nominal Pi Method

Formula

`"B"_{"pi"} = (("A"_{"pi"}*"D"_{"pi"})-1)/"C"_{"pi"}`

Example

`"8.797727Ω"=(("1.095"*"1.09")-1)/"0.022S"`

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B Parameter for Reciprocal Network in Nominal Pi Method Solution

STEP 0: Pre-Calculation Summary

Formula Used

B Parameter in PI = ((A Parameter in PI*D Parameter in PI)-1)/C Parameter in PI
B_pi = ((A_pi*D_pi)-1)/C_pi
This formula uses 4 Variables

Variables Used

B Parameter in PI - (Measured in Ohm) - B Parameter in PI is a generalized line constant. also known as short circuit resistance in a transmission line.
A Parameter in PI - A Parameter in PI is a generalized line constant in a two port transmission line.
D Parameter in PI - D Parameter in PI is a generalized line constant in a transmission line.
C Parameter in PI - (Measured in Siemens) - C Parameter in PI is a generalized line constant. also known as an open circuit conductance in a transmission line.

STEP 1: Convert Input(s) to Base Unit

A Parameter in PI: 1.095 --> No Conversion Required
D Parameter in PI: 1.09 --> No Conversion Required
C Parameter in PI: 0.022 Siemens --> 0.022 Siemens No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

B_pi = ((A_pi*D_pi)-1)/C_pi --> ((1.095*1.09)-1)/0.022

Evaluating ... ...

B_pi = 8.79772727272728

STEP 3: Convert Result to Output's Unit

8.79772727272728 Ohm --> No Conversion Required

FINAL ANSWER

8.79772727272728 ≈ 8.797727 Ohm <-- B Parameter in PI

(Calculation completed in 00.004 seconds)

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Vishwakarma Government Engineering College (VGEC), Ahmedabad

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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

B Parameter for Reciprocal Network in Nominal Pi Method Formula

B Parameter in PI = ((A Parameter in PI*D Parameter in PI)-1)/C Parameter in PI
B_pi = ((A_pi*D_pi)-1)/C_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 centre and half of each capacitance is placed at the centre of the line.

How to Calculate B Parameter for Reciprocal Network in Nominal Pi Method?

B Parameter for Reciprocal Network in Nominal Pi Method calculator uses B Parameter in PI = ((A Parameter in PI*D Parameter in PI)-1)/C Parameter in PI to calculate the B Parameter in PI, The B Parameter for Reciprocal Network in Nominal Pi method formula is defined as a generalized line constant. also known as short circuit resistance. It is used for determining the performance of input, output voltage, and current of the transmission network. B Parameter in PI is denoted by B_pi symbol.

How to calculate B Parameter for Reciprocal Network in Nominal Pi Method using this online calculator? To use this online calculator for B Parameter for Reciprocal Network in Nominal Pi Method, enter A Parameter in PI (A_pi), D Parameter in PI (D_pi) & C Parameter in PI (C_pi) and hit the calculate button. Here is how the B Parameter for Reciprocal Network in Nominal Pi Method calculation can be explained with given input values -> 8.797727 = ((1.095*1.09)-1)/0.022.

FAQ

What is B Parameter for Reciprocal Network in Nominal Pi Method?

The B Parameter for Reciprocal Network in Nominal Pi method formula is defined as a generalized line constant. also known as short circuit resistance. It is used for determining the performance of input, output voltage, and current of the transmission network and is represented as B_pi = ((A_pi*D_pi)-1)/C_pi or B Parameter in PI = ((A Parameter in PI*D Parameter in PI)-1)/C Parameter in PI. A Parameter in PI is a generalized line constant in a two port transmission line, D Parameter in PI is a generalized line constant in a transmission line & C Parameter in PI is a generalized line constant. also known as an open circuit conductance in a transmission line.

How to calculate B Parameter for Reciprocal Network in Nominal Pi Method?

The B Parameter for Reciprocal Network in Nominal Pi method formula is defined as a generalized line constant. also known as short circuit resistance. It is used for determining the performance of input, output voltage, and current of the transmission network is calculated using B Parameter in PI = ((A Parameter in PI*D Parameter in PI)-1)/C Parameter in PI. To calculate B Parameter for Reciprocal Network in Nominal Pi Method, you need A Parameter in PI (A_pi), D Parameter in PI (D_pi) & C Parameter in PI (C_pi). With our tool, you need to enter the respective value for A Parameter in PI, D Parameter in PI & C Parameter 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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