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Impedance (STL) Formula

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Impedance in a short line combines resistance and inductive reactance, influencing voltage and current distribution, with capacitive reactance typically minimal. Check FAQs

Z = \frac{V s - V r}{I r}

Z - Impedance?V_s - Sending End Voltage?V_r - Receiving End Voltage?I_r - Receiving End Current?

Impedance (STL) Example

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Here is how the Impedance (STL) equation looks like with Values.

Here is how the Impedance (STL) equation looks like with Units.

Here is how the Impedance (STL) equation looks like.

5.1282 = \frac{400 - 380}{3.9}

5.1282Ω = \frac{400V - 380V}{3.9A}

5.1282 = \frac{400 - 380}{3.9}

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Impedance (STL) Solution

Follow our step by step solution on how to calculate Impedance (STL)?

FIRST Step Consider the formula

Z = \frac{V s - V r}{I r}

Next Step Substitute values of Variables

∴

Z = \frac{400V - 380V}{3.9A}

Next Step Prepare to Evaluate

∴

Z = \frac{400 - 380}{3.9}

Next Step Evaluate

∴

Z = 5.12820512820513Ω

LAST Step Rounding Answer

∴

Z = 5.1282Ω

Impedance (STL) Formula Elements

Variables

Impedance

Impedance in a short line combines resistance and inductive reactance, influencing voltage and current distribution, with capacitive reactance typically minimal.

Symbol: Z

Measurement: Electric ResistanceUnit: Ω

Note: Value should be greater than 0.

Formulas to find Impedance

Sending End Voltage

Sending End Voltage is the voltage at the sending end of a short transmission line.

Symbol: V_s

Measurement: Electric PotentialUnit: V

Note: Value can be positive or negative.

Formulas to find Sending End Voltage

Receiving End Voltage

Receiving End Voltage is the voltage developed at the receiving end of a short transmission line.

Symbol: V_r

Measurement: Electric PotentialUnit: V

Note: Value can be positive or negative.

Formulas to find Receiving End Voltage

Receiving End Current

Receiving End Current is defined as the magnitude and phase angle of current received at the load end of a short transmission line.

Symbol: I_r

Measurement: Electric CurrentUnit: A

Note: Value can be positive or negative.

Formulas to find Receiving End Current

Other formulas in Line Parameters category

Go Voltage Regulation in Transmission Line

%V = (\frac{V s - V r}{V r}) \cdot 100

Go Resistance using Losses (STL)

R = \frac{P loss}{3 \cdot {I r}^{2}}

Go Losses using Transmission Efficiency (STL)

P loss = (\frac{3 \cdot V r \cdot I r \cdot \cos (Φ r)}{η}) - (3 \cdot V r \cdot I r \cdot \cos (Φ r))

Go Transmission Efficiency (STL)

η = \frac{V r \cdot I r \cdot \cos (Φ r)}{V s \cdot I s \cdot \cos (Φ s)}

How to Evaluate Impedance (STL)?

Impedance (STL) evaluator uses Impedance = (Sending End Voltage-Receiving End Voltage)/Receiving End Current to evaluate the Impedance, The Impedance (STL) is the current influenced by the line's impedance, calculated as the sending voltage divided by the line's impedance (I = V/Z). In short lines, this current closely matches the load current due to minimal impedance effects. Impedance is denoted by Z symbol.

How to evaluate Impedance (STL) using this online evaluator? To use this online evaluator for Impedance (STL), enter Sending End Voltage (V_s), Receiving End Voltage (V_r) & Receiving End Current (I_r) and hit the calculate button.

FAQs on Impedance (STL)

What is the formula to find Impedance (STL)?

The formula of Impedance (STL) is expressed as Impedance = (Sending End Voltage-Receiving End Voltage)/Receiving End Current. Here is an example- 5.128205 = (400-380)/3.9.

How to calculate Impedance (STL)?

With Sending End Voltage (V_s), Receiving End Voltage (V_r) & Receiving End Current (I_r) we can find Impedance (STL) using the formula - Impedance = (Sending End Voltage-Receiving End Voltage)/Receiving End Current.

Can the Impedance (STL) be negative?

No, the Impedance (STL), measured in Electric Resistance cannot be negative.

Which unit is used to measure Impedance (STL)?

Impedance (STL) is usually measured using the Ohm[Ω] for Electric Resistance. Megohm[Ω], Microhm[Ω], Volt per Ampere[Ω] are the few other units in which Impedance (STL) can be measured.

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Impedance (STL) Formula

Impedance (STL) Example

Impedance (STL) Solution

Impedance (STL) Formula Elements

Other formulas in Line Parameters category

How to Evaluate Impedance (STL)?

FAQs on Impedance (STL)

Variable Name