Load Impedance using Transmitted Current Calculator

✖Transmitted Voltage is defined as the Voltage wave that is traveling through the Load of the Transmission line.ⓘ Transmitted Voltage [V_t]			+10% -10%
✖The characteristic impedance of a uniform transmission line is the ratio of the amplitudes of voltage and current of a single wave propagating along the line during transient condition.ⓘ Characteristic Impedance [Z₀]			+10% -10%
✖Incident Current is the Current wave that is traveling from the sending end to the receiving end of the Transmission line during any transient condition.ⓘ Incident Current [I_i]			+10% -10%
✖Transmitted Current is defined as the Current wave that is traveling through the Load of the Transmission line.ⓘ Transmitted Current [I_t]			+10% -10%

✖The load impedance is defined as the impedance of the load of the Transmission line during transient.ⓘ Load Impedance using Transmitted Current [I_l]

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Formula

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Load Impedance using Transmitted Current

Formula

`"I"_{"l"} = "V"_{"t"}*"Z"_{"0"}/(2*"I"_{"i"}-"I"_{"t"})`

Example

`"57.8125Ω"="20V"*"55.5Ω"/(2*"12A"-"4.8A")`

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Load Impedance using Transmitted Current Solution

STEP 0: Pre-Calculation Summary

Formula Used

Load Impedance = Transmitted Voltage*Characteristic Impedance/(2*Incident Current-Transmitted Current)
I_l = V_t*Z₀/(2*I_i-I_t)
This formula uses 5 Variables

Variables Used

Load Impedance - (Measured in Ohm) - The load impedance is defined as the impedance of the load of the Transmission line during transient.
Transmitted Voltage - (Measured in Volt) - Transmitted Voltage is defined as the Voltage wave that is traveling through the Load of the Transmission line.
Characteristic Impedance - (Measured in Ohm) - The characteristic impedance of a uniform transmission line is the ratio of the amplitudes of voltage and current of a single wave propagating along the line during transient condition.
Incident Current - (Measured in Ampere) - Incident Current is the Current wave that is traveling from the sending end to the receiving end of the Transmission line during any transient condition.
Transmitted Current - (Measured in Ampere) - Transmitted Current is defined as the Current wave that is traveling through the Load of the Transmission line.

STEP 1: Convert Input(s) to Base Unit

Transmitted Voltage: 20 Volt --> 20 Volt No Conversion Required
Characteristic Impedance: 55.5 Ohm --> 55.5 Ohm No Conversion Required
Incident Current: 12 Ampere --> 12 Ampere No Conversion Required
Transmitted Current: 4.8 Ampere --> 4.8 Ampere No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

I_l = V_t*Z₀/(2*I_i-I_t) --> 20*55.5/(2*12-4.8)

Evaluating ... ...

I_l = 57.8125

STEP 3: Convert Result to Output's Unit

57.8125 Ohm --> No Conversion Required

FINAL ANSWER

57.8125 Ohm <-- Load Impedance

(Calculation completed in 00.020 seconds)

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Created by Urvi Rathod

Vishwakarma Government Engineering College (VGEC), Ahmedabad

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< 7 Transmitted Or Refracted Waves Calculators

Load Impedance using Transmitted Current

Go Load Impedance = Transmitted Voltage*Characteristic Impedance/(2*Incident Current-Transmitted Current)

Incident Voltage using Transmitted Voltage

Go Incident Voltage = Transmitted Voltage*(Characteristic Impedance+Load Impedance)/(2*Load Impedance)

Incident Current using Transmitted Current

Go Incident Current = Transmitted Current*(Load Impedance+Characteristic Impedance)/(2*Load Impedance)

Transmitted Voltage using Incident Current

Go Transmitted Voltage = 2*Incident Voltage*Load Impedance/(Load Impedance+Characteristic Impedance)

Transmitted Current using Incident Current

Go Transmitted Current = 2*Incident Current*Load Impedance/(Characteristic Impedance+Load Impedance)

Transmitted Current using Incident and Reflected Current

Go Transmitted Current = Incident Current+Reflected Current

Transmitted Voltage Transmitted Wave

Go Transmitted Voltage = Load Impedance*Transmitted Current

Load Impedance using Transmitted Current Formula

Load Impedance = Transmitted Voltage*Characteristic Impedance/(2*Incident Current-Transmitted Current)
I_l = V_t*Z₀/(2*I_i-I_t)

Define transmitted waves.

The transmitted waves are the Voltage wave or current wave that is traveling through the Load of the Transmission line.

How to Calculate Load Impedance using Transmitted Current?

Load Impedance using Transmitted Current calculator uses Load Impedance = Transmitted Voltage*Characteristic Impedance/(2*Incident Current-Transmitted Current) to calculate the Load Impedance, The Load Impedance using Transmitted Current formula is defined as the impedance of the load of the Transmission line. Load Impedance is denoted by I_l symbol.

How to calculate Load Impedance using Transmitted Current using this online calculator? To use this online calculator for Load Impedance using Transmitted Current, enter Transmitted Voltage (V_t), Characteristic Impedance (Z₀), Incident Current (I_i) & Transmitted Current (I_t) and hit the calculate button. Here is how the Load Impedance using Transmitted Current calculation can be explained with given input values -> 57.8125 = 20*55.5/(2*12-4.8).

FAQ

What is Load Impedance using Transmitted Current?

The Load Impedance using Transmitted Current formula is defined as the impedance of the load of the Transmission line and is represented as I_l = V_t*Z₀/(2*I_i-I_t) or Load Impedance = Transmitted Voltage*Characteristic Impedance/(2*Incident Current-Transmitted Current). Transmitted Voltage is defined as the Voltage wave that is traveling through the Load of the Transmission line, The characteristic impedance of a uniform transmission line is the ratio of the amplitudes of voltage and current of a single wave propagating along the line during transient condition, Incident Current is the Current wave that is traveling from the sending end to the receiving end of the Transmission line during any transient condition & Transmitted Current is defined as the Current wave that is traveling through the Load of the Transmission line.

How to calculate Load Impedance using Transmitted Current?

The Load Impedance using Transmitted Current formula is defined as the impedance of the load of the Transmission line is calculated using Load Impedance = Transmitted Voltage*Characteristic Impedance/(2*Incident Current-Transmitted Current). To calculate Load Impedance using Transmitted Current, you need Transmitted Voltage (V_t), Characteristic Impedance (Z₀), Incident Current (I_i) & Transmitted Current (I_t). With our tool, you need to enter the respective value for Transmitted Voltage, Characteristic Impedance, Incident Current & Transmitted Current 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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