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Electrical Length of Line Formula

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Electrical Length of Line is defined as the effective length of a transmission line as seen by the device. Check FAQs

θ = β' \cdot L

θ - Electrical Length of Line?β' - Phase Constant in Compensated Line?L - Line Length?

Electrical Length of Line Example

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With units

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Here is how the Electrical Length of Line equation looks like with Values.

Here is how the Electrical Length of Line equation looks like with Units.

Here is how the Electrical Length of Line equation looks like.

20.6265 = 1.2 \cdot 0.3

20.6265° = 1.2 \cdot 0.3m

20.6265 = 1.2 \cdot 0.3

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Electrical Length of Line Solution

Follow our step by step solution on how to calculate Electrical Length of Line?

FIRST Step Consider the formula

θ = β' \cdot L

Next Step Substitute values of Variables

∴

θ = 1.2 \cdot 0.3m

Next Step Prepare to Evaluate

∴

θ = 1.2 \cdot 0.3

Next Step Evaluate

∴

θ = 0.36rad

Next Step Convert to Output's Unit

∴

θ = 20.6264806247135°

LAST Step Rounding Answer

∴

θ = 20.6265°

Electrical Length of Line Formula Elements

Variables

Electrical Length of Line

Electrical Length of Line is defined as the effective length of a transmission line as seen by the device.

Symbol: θ

Measurement: AngleUnit: °

Note: Value should be greater than 0.

Formulas to find Electrical Length of Line

Phase Constant in Compensated Line

Phase Constant in Compensated Line is defined as the parameter that characterizes the phase relationship between the voltage and current waves along the transmission line.

Symbol: β'

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Phase Constant in Compensated Line

Line Length

Line Length is used to calculate the length of the SVC line.

Symbol: L

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Line Length

Other formulas in AC Transmission Line Analysis category

Go Velocity Propagation in Lossless Line

V p = \frac{1}{\sqrt{l \cdot c}}

Go Wavelength Propagation in Lossless Line

λ = \frac{V p}{f}

Go Thevenin's Voltage of Line

V th = \frac{V s}{\cos (θ)}

Go Phase Constant of Compensated Line

β' = β \cdot \sqrt{(1 - K se) \cdot (1 - k sh)}

How to Evaluate Electrical Length of Line?

Electrical Length of Line evaluator uses Electrical Length of Line = Phase Constant in Compensated Line*Line Length to evaluate the Electrical Length of Line, The Electrical Length of Line formula is defined as the measure of the distance that an electrical wave travels along the line compared to the wavelength of the signal. Electrical Length of Line is denoted by θ symbol.

How to evaluate Electrical Length of Line using this online evaluator? To use this online evaluator for Electrical Length of Line, enter Phase Constant in Compensated Line (β') & Line Length (L) and hit the calculate button.

FAQs on Electrical Length of Line

What is the formula to find Electrical Length of Line?

The formula of Electrical Length of Line is expressed as Electrical Length of Line = Phase Constant in Compensated Line*Line Length. Here is an example- 19539.26 = 1.2*0.3.

How to calculate Electrical Length of Line?

With Phase Constant in Compensated Line (β') & Line Length (L) we can find Electrical Length of Line using the formula - Electrical Length of Line = Phase Constant in Compensated Line*Line Length.

Can the Electrical Length of Line be negative?

No, the Electrical Length of Line, measured in Angle cannot be negative.

Which unit is used to measure Electrical Length of Line?

Electrical Length of Line is usually measured using the Degree[°] for Angle. Radian[°], Minute[°], Second[°] are the few other units in which Electrical Length of Line can be measured.

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Electrical Length of Line Formula

Electrical Length of Line Example

Electrical Length of Line Solution

Electrical Length of Line Formula Elements

Other formulas in AC Transmission Line Analysis category

How to Evaluate Electrical Length of Line?

FAQs on Electrical Length of Line

Variable Name