Current-1 (G-Parameter) Calculator

✖G11 Parameter is input admittance.ⓘ G11 Parameter [g₁₁]			+10% -10%
✖Voltage port 1 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 1 [V₁]			+10% -10%
✖G12 Parameter is short circuit current ratio.ⓘ G12 Parameter [g₁₂]			+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 (G-Parameter) [I₁]

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Formula

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Current-1 (G-Parameter)

Formula

`"I"_{"1"} = ("g"_{"11"}*"V"_{"1"})+("g"_{"12"}*"I"_{"2"})`

Example

`"1.3951A"=("0.002℧"*"440V")+("0.505"*"1.02A")`

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Current-1 (G-Parameter) Solution

STEP 0: Pre-Calculation Summary

Formula Used

Current in Port 1 = (G11 Parameter*Voltage Port 1)+(G12 Parameter*Current in Port 2)
I₁ = (g₁₁*V₁)+(g₁₂*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.
G11 Parameter - (Measured in Siemens) - G11 Parameter is input admittance.
Voltage Port 1 - (Measured in Volt) - Voltage port 1 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.
G12 Parameter - G12 Parameter is short circuit current ratio.
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

G11 Parameter: 0.002 Mho --> 0.002 Siemens (Check conversion here)
Voltage Port 1: 440 Volt --> 440 Volt No Conversion Required
G12 Parameter: 0.505 --> 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 = (g₁₁*V₁)+(g₁₂*I₂) --> (0.002*440)+(0.505*1.02)

Evaluating ... ...

I₁ = 1.3951

STEP 3: Convert Result to Output's Unit

1.3951 Ampere --> No Conversion Required

FINAL ANSWER

1.3951 Ampere <-- Current in Port 1

(Calculation completed in 00.004 seconds)

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Created by Urvi Rathod

Vishwakarma Government Engineering College (VGEC), Ahmedabad

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< 16 G-Parameters Calculators

G12 Parameter given Current-1 (G-Parameter)

Go G12 Parameter = (Current in Port 1-(G11 Parameter*Voltage Port 1))/Current in Port 2

G11 Parameter given Current-1 (G-Parameter)

Go G11 Parameter = (Current in Port 1-(G12 Parameter*Current in Port 2))/Voltage Port 1

Current-1 (G-Parameter)

Go Current in Port 1 = (G11 Parameter*Voltage Port 1)+(G12 Parameter*Current in Port 2)

Current-2 given Voltage-2 (G-Parameter)

Go Current in Port 2 = (Voltage Port 2-(G21 Parameter*Voltage Port 1))/G22 Parameter

G12 Parameter (G-Parameter)

Go G12 Parameter = Current in Port 1/Current in Port 2

Current-1 given G11 Parameter (G-Parameter)

Go Current in Port 1 = Voltage Port 1*G11 Parameter

G11 Parameter (G-Parameter)

Go G11 Parameter = Current in Port 1/Voltage Port 1

Delta-G given A' Parameter

Go Delta-G = (-1)*G12 Parameter*A Inverse Parameter

G21 Parameter (G-Parameter)

Go G21 Parameter = Voltage Port 2/Voltage Port 1

G21 Parameter in Terms of Y Parameters

Go G21 Parameter = -Y21 Parameter/Y22 Parameter

G21 Parameter in Terms of Z Parameters

Go G21 Parameter = Z21 Parameter/Z11 Parameter

G11 Parameter in Terms of T Parameters

Go G11 Parameter = C Parameter/A Parameter

G22 Parameter in Terms of Z Parameters

Go G22 Parameter = Delta-Z/Z11 Parameter

G11 Parameter in Terms of Y Parameters

Go G11 Parameter = Delta-Y/Y22 Parameter

G22 Parameter in Terms of Y Parameters

Go G22 Parameter = 1/Y22 Parameter

G21 Parameter in Terms of T Parameters

Go G21 Parameter = 1/A Parameter

Current-1 (G-Parameter) Formula

Current in Port 1 = (G11 Parameter*Voltage Port 1)+(G12 Parameter*Current in Port 2)
I₁ = (g₁₁*V₁)+(g₁₂*I₂)

What is inverse hybrid parameter?

We will get the set of two equations by considering the variables I1 & V2 as dependent and V1 & I2 as independent. The coefficients of independent variables, V1 and I2 are called g-parameters. g-parameters are called inverse hybrid parameters.

How to Calculate Current-1 (G-Parameter)?

Current-1 (G-Parameter) calculator uses Current in Port 1 = (G11 Parameter*Voltage Port 1)+(G12 Parameter*Current in Port 2) to calculate the Current in Port 1, The Current-1 (G-parameter) formula is defined as the current at port-1 of the g-parameters or inverse hybrid parameters. Current in Port 1 is denoted by I₁ symbol.

How to calculate Current-1 (G-Parameter) using this online calculator? To use this online calculator for Current-1 (G-Parameter), enter G11 Parameter (g₁₁), Voltage Port 1 (V₁), G12 Parameter (g₁₂) & Current in Port 2 (I₂) and hit the calculate button. Here is how the Current-1 (G-Parameter) calculation can be explained with given input values -> 1.3951 = (0.002*440)+(0.505*1.02).

FAQ

What is Current-1 (G-Parameter)?

The Current-1 (G-parameter) formula is defined as the current at port-1 of the g-parameters or inverse hybrid parameters and is represented as I₁ = (g₁₁*V₁)+(g₁₂*I₂) or Current in Port 1 = (G11 Parameter*Voltage Port 1)+(G12 Parameter*Current in Port 2). G11 Parameter is input admittance, Voltage port 1 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, G12 Parameter is short circuit current ratio & Current in port 2 is the magnitude of current flowing through port 2.

How to calculate Current-1 (G-Parameter)?

The Current-1 (G-parameter) formula is defined as the current at port-1 of the g-parameters or inverse hybrid parameters is calculated using Current in Port 1 = (G11 Parameter*Voltage Port 1)+(G12 Parameter*Current in Port 2). To calculate Current-1 (G-Parameter), you need G11 Parameter (g₁₁), Voltage Port 1 (V₁), G12 Parameter (g₁₂) & Current in Port 2 (I₂). With our tool, you need to enter the respective value for G11 Parameter, Voltage Port 1, G12 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.

How many ways are there to calculate Current in Port 1?

In this formula, Current in Port 1 uses G11 Parameter, Voltage Port 1, G12 Parameter & Current in Port 2. We can use 1 other way(s) to calculate the same, which is/are as follows -

Current in Port 1 = Voltage Port 1*G11 Parameter

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