Current 1 (ABCD Parameter) Calculator

✖C parameter is a generalized line constant. also known as an open circuit conductance.ⓘ C Parameter [C]			+10% -10%
✖Voltage port 2 is the pressure from an electrical circuit's power source that pushes charged electrons (current) through a conducting loop, enabling them to do work such as illuminating a light.ⓘ Voltage Port 2 [V₂]			+10% -10%
✖D parameter is a generalized line constant.ⓘ D Parameter [D]			+10% -10%
✖Current in port 2 is the magnitude of current flowing through port 2.ⓘ Current in Port 2 [I₂]			+10% -10%

✖Current in port 1 is the magnitude of current flowing through port 1.ⓘ Current 1 (ABCD Parameter) [I₁]

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Formula

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Current 1 (ABCD Parameter)

Formula

`"I"_{"1"} = ("C"*"V"_{"2"})-("D"*"I"_{"2"})`

Example

`"3511.84A"=("16℧"*"220V")-("8"*"1.02A")`

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Current 1 (ABCD Parameter) Solution

STEP 0: Pre-Calculation Summary

Formula Used

Current in Port 1 = (C Parameter*Voltage Port 2)-(D Parameter*Current in Port 2)
I₁ = (C*V₂)-(D*I₂)
This formula uses 5 Variables

Variables Used

Current in Port 1 - (Measured in Ampere) - Current in port 1 is the magnitude of current flowing through port 1.
C Parameter - (Measured in Siemens) - C parameter is a generalized line constant. also known as an open circuit conductance.
Voltage Port 2 - (Measured in Volt) - Voltage port 2 is the pressure from an electrical circuit's power source that pushes charged electrons (current) through a conducting loop, enabling them to do work such as illuminating a light.
D Parameter - D parameter is a generalized line constant.
Current in Port 2 - (Measured in Ampere) - Current in port 2 is the magnitude of current flowing through port 2.

STEP 1: Convert Input(s) to Base Unit

C Parameter: 16 Mho --> 16 Siemens (Check conversion here)
Voltage Port 2: 220 Volt --> 220 Volt No Conversion Required
D Parameter: 8 --> No Conversion Required
Current in Port 2: 1.02 Ampere --> 1.02 Ampere No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

I₁ = (C*V₂)-(D*I₂) --> (16*220)-(8*1.02)

Evaluating ... ...

I₁ = 3511.84

STEP 3: Convert Result to Output's Unit

3511.84 Ampere --> No Conversion Required

FINAL ANSWER

3511.84 Ampere <-- Current in Port 1

(Calculation completed in 00.020 seconds)

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Created by Urvi Rathod

Vishwakarma Government Engineering College (VGEC), Ahmedabad

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Osmania University (OU), Hyderabad

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< 19 T-Parameters Calculators

Voltage 2 given Current 1 (ABCD Parameter)

Go Voltage Port 2 = (Current in Port 1+(D Parameter*Current in Port 2))/C Parameter

Current 1 (ABCD Parameter)

Go Current in Port 1 = (C Parameter*Voltage Port 2)-(D Parameter*Current in Port 2)

B Parameter given Voltage 1 (ABCD Parameter)

Go B Parameter = (-Voltage Port 1+(A Parameter*Voltage Port 2))/Current in Port 2

A-Parameter in Terms of Voltage 1 (ABCD Parameter)

Go A Parameter = (Voltage Port 1+(B Parameter*Current in Port 2))/Voltage Port 2

Current 2 given Voltage 1 (ABCD Parameter)

Go Current in Port 2 = ((A Parameter*Voltage Port 2)+Voltage Port 1)/B Parameter

Voltage 1 (ABCD Parameter)

Go Voltage Port 1 = (A Parameter*Voltage Port 2)-(B Parameter*Current in Port 2)

B Inverse Parameter (A'B'C'D'-Parameter)

Go B Inverse Parameter = -Voltage Port 2/Current in Port 1

Voltage-1 given A' Parameter (A'B'C'D'-Parameter)

Go Voltage Port 1 = Voltage Port 2/A Inverse Parameter

A-Inverse Parameter (A'B'C'D'-Parameter)

Go A Inverse Parameter = Voltage Port 2/Voltage Port 1

B Parameter (ABCD Parameter)

Go B Parameter = Voltage Port 1/(-Current in Port 2)

C Parameter (ABCD Parameter)

Go C Parameter = Current in Port 1/Voltage Port 2

Voltage 1 given A Parameter (ABCD Parameter)

Go Voltage Port 1 = A Parameter*Voltage Port 2

A-Parameter (ABCD Parameter)

Go A Parameter = Voltage Port 1/Voltage Port 2

A Parameter In Terms Of T' Parameters

Go A Parameter = D Inverse Parameter/Delta-T'

B Parameter in Terms of G Parameters

Go B Parameter = G22 Parameter/G21 Parameter

C Parameter in Terms of Y Parameters

Go C Parameter = -Delta-Y/Y21 Parameter

B Parameter in Terms of Z Parameters

Go B Parameter = Delta-Z/Z21 Parameter

C Parameter in Terms of Z Parameters

Go C Parameter = 1/Z21 Parameter

A Parameter In Terms Of G Parameters

Go A Parameter = 1/G21 Parameter

Current 1 (ABCD Parameter) Formula

Current in Port 1 = (C Parameter*Voltage Port 2)-(D Parameter*Current in Port 2)
I₁ = (C*V₂)-(D*I₂)

What are ABCD parameters?

The ABCD-parameters are known variously as chain, cascade, or transmission line parameters. The ABCD constants relate the input current and voltage at port 1 to the output.In Power Systems B and C are Complex numbers A and D are mere constants, the V and I are complex quantities representing V and I Phasors.

How to Calculate Current 1 (ABCD Parameter)?

Current 1 (ABCD Parameter) calculator uses Current in Port 1 = (C Parameter*Voltage Port 2)-(D Parameter*Current in Port 2) to calculate the Current in Port 1, The Current 1 (ABCD Parameter) formula is defined as the current at port-1 of the ABCD parameters or Transmission parameters. Current in Port 1 is denoted by I₁ symbol.

How to calculate Current 1 (ABCD Parameter) using this online calculator? To use this online calculator for Current 1 (ABCD Parameter), enter C Parameter (C), Voltage Port 2 (V₂), D Parameter (D) & Current in Port 2 (I₂) and hit the calculate button. Here is how the Current 1 (ABCD Parameter) calculation can be explained with given input values -> 3511.84 = (16*220)-(8*1.02).

FAQ

What is Current 1 (ABCD Parameter)?

The Current 1 (ABCD Parameter) formula is defined as the current at port-1 of the ABCD parameters or Transmission parameters and is represented as I₁ = (C*V₂)-(D*I₂) or Current in Port 1 = (C Parameter*Voltage Port 2)-(D Parameter*Current in Port 2). C parameter is a generalized line constant. also known as an open circuit conductance, Voltage port 2 is the pressure from an electrical circuit's power source that pushes charged electrons (current) through a conducting loop, enabling them to do work such as illuminating a light, D parameter is a generalized line constant & Current in port 2 is the magnitude of current flowing through port 2.

How to calculate Current 1 (ABCD Parameter)?

The Current 1 (ABCD Parameter) formula is defined as the current at port-1 of the ABCD parameters or Transmission parameters is calculated using Current in Port 1 = (C Parameter*Voltage Port 2)-(D Parameter*Current in Port 2). To calculate Current 1 (ABCD Parameter), you need C Parameter (C), Voltage Port 2 (V₂), D Parameter (D) & Current in Port 2 (I₂). With our tool, you need to enter the respective value for C Parameter, Voltage Port 2, D Parameter & Current in Port 2 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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