Voltage 1 (Z Parameter) Calculator

✖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 in Port 1 [I₁]			+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%

✖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 1 (Z Parameter) [V₁]

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Formula

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Voltage 1 (Z Parameter)

Formula

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

Example

`"12.72V"=("11Ω"*"0.8A")+("2.9Ω"+"1.02A")`

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Voltage 1 (Z Parameter) Solution

STEP 0: Pre-Calculation Summary

Formula Used

Voltage Port 1 = (Z11 Parameter*Current in Port 1)+(Z12 Parameter+Current in Port 2)
V₁ = (Z₁₁*I₁)+(Z₁₂+I₂)
This formula uses 5 Variables

Variables Used

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.
Z11 Parameter - (Measured in Ohm) - Z11 Parameter is driving point impedance at port 1.
Current in Port 1 - (Measured in Ampere) - Current in port 1 is the magnitude of current flowing through port 1.
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.

STEP 1: Convert Input(s) to Base Unit

Z11 Parameter: 11 Ohm --> 11 Ohm No Conversion Required
Current in Port 1: 0.8 Ampere --> 0.8 Ampere 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

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V₁ = (Z₁₁*I₁)+(Z₁₂+I₂) --> (11*0.8)+(2.9+1.02)

Evaluating ... ...

V₁ = 12.72

STEP 3: Convert Result to Output's Unit

12.72 Volt --> No Conversion Required

FINAL ANSWER

12.72 Volt <-- Voltage Port 1

(Calculation completed in 00.004 seconds)

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Vishwakarma Government Engineering College (VGEC), Ahmedabad

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< 23 Z-Parameters Calculators

Z11 Parameter given Voltage 1 (Z Parameter)

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

Z12 Parameter given Voltage 1 (Z Parameter)

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

Z21 Parameter given Voltage 2 (Z Parameter)

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

Z22 Parameter given Voltage 2 (Z Parameter)

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

Current 2 given Voltage 2 (Z Parameter)

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

Current 2 given Voltage 1 (Z Parameter)

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

Current 1 given Voltage 1 (Z Parameter)

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

Voltage 1 (Z Parameter)

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

Voltage 2 (Z Parameter)

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

Current 1 given Z11 Parameter (Z Parameter)

Go Current in Port 1 = Voltage Port 1/Z11 Parameter

Current 1 given Z21 Parameter (Z Parameter)

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

Current 2 given Z22 Parameter (Z Parameter)

Go Current in Port 2 = Voltage Port 2/Z22 Parameter

Driving Point Output Impedance (Z22)

Go Z22 Parameter = Voltage Port 2/Current in Port 2

Driving Point Input Impedance (Z11)

Go Z11 Parameter = Voltage Port 1/Current in Port 1

Output Transfer Impedance (Z21)

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

Input Transfer Impedance (Z12)

Go Z12 Parameter = Voltage Port 1/Current in Port 2

Z12 Parameter in Terms of H Parameters

Go Z12 Parameter = H12 Parameter/H22 Parameter

Z21 Parameter in Terms of G Parameters

Go Z21 Parameter = G21 Parameter/G11 Parameter

Z11 Parameter in Terms of T Parameters

Go Z11 Parameter = A Parameter/C Parameter

Z11 Parameter in Terms of Y Parameters

Go Z11 Parameter = Y22 Parameter/Delta-Y

Z11 Parameter in Terms of H Parameters

Go Z11 Parameter = Delta-H/H22 Parameter

Z12 Parameter in Terms of T' Parameters

Go Z12 Parameter = 1/C Inverse Parameter

Z11 Parameter in Terms of G Parameters

Go Z11 Parameter = 1/G11 Parameter

Voltage 1 (Z Parameter) Formula

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

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 Voltage 1 (Z Parameter)?

Voltage 1 (Z Parameter) calculator uses Voltage Port 1 = (Z11 Parameter*Current in Port 1)+(Z12 Parameter+Current in Port 2) to calculate the Voltage Port 1, The Voltage 1 (Z parameter) formula is defined as the electrical voltage at the port-1 of a two-port network. Voltage Port 1 is denoted by V₁ symbol.

How to calculate Voltage 1 (Z Parameter) using this online calculator? To use this online calculator for Voltage 1 (Z Parameter), enter Z11 Parameter (Z₁₁), Current in Port 1 (I₁), Z12 Parameter (Z₁₂) & Current in Port 2 (I₂) and hit the calculate button. Here is how the Voltage 1 (Z Parameter) calculation can be explained with given input values -> 12.72 = (11*0.8)+(2.9+1.02).

FAQ

What is Voltage 1 (Z Parameter)?

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

How to calculate Voltage 1 (Z Parameter)?

The Voltage 1 (Z parameter) formula is defined as the electrical voltage at the port-1 of a two-port network is calculated using Voltage Port 1 = (Z11 Parameter*Current in Port 1)+(Z12 Parameter+Current in Port 2). To calculate Voltage 1 (Z Parameter), you need Z11 Parameter (Z₁₁), Current in Port 1 (I₁), Z12 Parameter (Z₁₂) & Current in Port 2 (I₂). With our tool, you need to enter the respective value for Z11 Parameter, Current in Port 1, Z12 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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