Current 1 given Voltage 1 (Z Parameter) Calculator

✖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%
✖Z12 Parameter is reverse transfer impedance.ⓘ Z12 Parameter [Z₁₂]			+10% -10%
✖Current in port 2 is the magnitude of current flowing through port 2.ⓘ Current in Port 2 [I₂]			+10% -10%
✖Z11 Parameter is driving point impedance at port 1.ⓘ Z11 Parameter [Z₁₁]			+10% -10%

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

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Current 1 given Voltage 1 (Z Parameter) Solution

STEP 0: Pre-Calculation Summary

Formula Used

Current in Port 1 = (Voltage Port 1-(Z12 Parameter*Current in Port 2))/Z11 Parameter
I₁ = (V₁-(Z₁₂*I₂))/Z₁₁
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.
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.
Z12 Parameter - (Measured in Ohm) - Z12 Parameter is reverse transfer impedance.
Current in Port 2 - (Measured in Ampere) - Current in port 2 is the magnitude of current flowing through port 2.
Z11 Parameter - (Measured in Ohm) - Z11 Parameter is driving point impedance at port 1.

STEP 1: Convert Input(s) to Base Unit

Voltage Port 1: 440 Volt --> 440 Volt No Conversion Required
Z12 Parameter: 2.9 Ohm --> 2.9 Ohm No Conversion Required
Current in Port 2: 1.02 Ampere --> 1.02 Ampere No Conversion Required
Z11 Parameter: 11 Ohm --> 11 Ohm No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

I₁ = (V₁-(Z₁₂*I₂))/Z₁₁ --> (440-(2.9*1.02))/11

Evaluating ... ...

I₁ = 39.7310909090909

STEP 3: Convert Result to Output's Unit

39.7310909090909 Ampere --> No Conversion Required

FINAL ANSWER

39.7310909090909 ≈ 39.73109 Ampere <-- Current in Port 1

(Calculation completed in 00.004 seconds)

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Vishwakarma Government Engineering College (VGEC), Ahmedabad

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< Z Parameters Calculators

Current 2 given Voltage 2 (Z Parameter)

LaTeX Go Current in Port 2 = (Voltage Port 2-(Z21 Parameter*Current in Port 1))/Z22 Parameter

Current 2 given Voltage 1 (Z Parameter)

LaTeX Go Current in Port 2 = (Voltage Port 1-(Z11 Parameter*Current in Port 1))/Z12 Parameter

Voltage 1 (Z Parameter)

LaTeX Go Voltage Port 1 = (Z11 Parameter*Current in Port 1)+(Z12 Parameter+Current in Port 2)

Voltage 2 (Z Parameter)

LaTeX Go Voltage Port 2 = (Z21 Parameter*Current in Port 1)+(Z22 Parameter+Current in Port 2)

Current 1 given Voltage 1 (Z Parameter) Formula

LaTeX Go

Current in Port 1 = (Voltage Port 1-(Z12 Parameter*Current in Port 2))/Z11 Parameter
I₁ = (V₁-(Z₁₂*I₂))/Z₁₁

What is Z parameter in two port network?

Z parameters (also known as impedance parameters or open-circuit parameters) are properties used in electrical engineering to describe the electrical behavior of linear electrical networks.

How to Calculate Current 1 given Voltage 1 (Z Parameter)?

Current 1 given Voltage 1 (Z Parameter) calculator uses Current in Port 1 = (Voltage Port 1-(Z12 Parameter*Current in Port 2))/Z11 Parameter to calculate the Current in Port 1, The Current 1 given Voltage 1 (Z parameter) formula is defined as the current at the port-1 of a two-port network. Current in Port 1 is denoted by I₁ symbol.

How to calculate Current 1 given Voltage 1 (Z Parameter) using this online calculator? To use this online calculator for Current 1 given Voltage 1 (Z Parameter), enter Voltage Port 1 (V₁), Z12 Parameter (Z₁₂), Current in Port 2 (I₂) & Z11 Parameter (Z₁₁) and hit the calculate button. Here is how the Current 1 given Voltage 1 (Z Parameter) calculation can be explained with given input values -> 39.73109 = (440-(2.9*1.02))/11.

FAQ

What is Current 1 given Voltage 1 (Z Parameter)?

The Current 1 given Voltage 1 (Z parameter) formula is defined as the current at the port-1 of a two-port network and is represented as I₁ = (V₁-(Z₁₂*I₂))/Z₁₁ or Current in Port 1 = (Voltage Port 1-(Z12 Parameter*Current in Port 2))/Z11 Parameter. 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, Z12 Parameter is reverse transfer impedance, Current in port 2 is the magnitude of current flowing through port 2 & Z11 Parameter is driving point impedance at port 1.

How to calculate Current 1 given Voltage 1 (Z Parameter)?

The Current 1 given Voltage 1 (Z parameter) formula is defined as the current at the port-1 of a two-port network is calculated using Current in Port 1 = (Voltage Port 1-(Z12 Parameter*Current in Port 2))/Z11 Parameter. To calculate Current 1 given Voltage 1 (Z Parameter), you need Voltage Port 1 (V₁), Z12 Parameter (Z₁₂), Current in Port 2 (I₂) & Z11 Parameter (Z₁₁). With our tool, you need to enter the respective value for Voltage Port 1, Z12 Parameter, Current in Port 2 & Z11 Parameter 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 Voltage Port 1, Z12 Parameter, Current in Port 2 & Z11 Parameter. We can use 2 other way(s) to calculate the same, which is/are as follows -

Current in Port 1 = Voltage Port 1/Z11 Parameter
Current in Port 1 = Voltage Port 2/Z21 Parameter

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