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Thevenin's Voltage of Line Formula

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Thevenin's Voltage of Line is defined as the equivalent voltage source that represents the behavior of the line as seen from a specific point. Check FAQs

V th = \frac{V s}{\cos (θ)}

V_th - Thevenin's Voltage of Line?V_s - Sending End Voltage?θ - Electrical Length of Line?

Thevenin's Voltage of Line Example

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Here is how the Thevenin's Voltage of Line equation looks like with Values.

Here is how the Thevenin's Voltage of Line equation looks like with Units.

Here is how the Thevenin's Voltage of Line equation looks like.

57.4656 = \frac{54}{\cos (20)}

57.4656V = \frac{54V}{\cos (20°)}

57.4656 = \frac{54}{\cos (20)}

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Thevenin's Voltage of Line Solution

Follow our step by step solution on how to calculate Thevenin's Voltage of Line?

FIRST Step Consider the formula

V th = \frac{V s}{\cos (θ)}

Next Step Substitute values of Variables

∴

V th = \frac{54V}{\cos (20°)}

Next Step Convert Units

∴

V th = \frac{54V}{\cos (0.3491rad)}

Next Step Prepare to Evaluate

∴

V th = \frac{54}{\cos (0.3491)}

Next Step Evaluate

∴

V th = 57.4655997136979V

LAST Step Rounding Answer

∴

V th = 57.4656V

Thevenin's Voltage of Line Formula Elements

Variables

Functions

Thevenin's Voltage of Line

Thevenin's Voltage of Line is defined as the equivalent voltage source that represents the behavior of the line as seen from a specific point.

Symbol: V_th

Measurement: Electric PotentialUnit: V

Note: Value should be greater than 0.

Formulas to find Thevenin's Voltage of Line

Sending End Voltage

Sending End Voltage is defined as the voltage at the source or sending end of a transmission line in an electrical power system.

Symbol: V_s

Measurement: Electric PotentialUnit: V

Note: Value should be greater than 0.

Formulas to find Sending End Voltage

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

cos

Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle.

Syntax: cos(Angle)

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 Phase Constant of Compensated Line

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

Go Electrical Length of Line

θ = β' \cdot L

How to Evaluate Thevenin's Voltage of Line?

Thevenin's Voltage of Line evaluator uses Thevenin's Voltage of Line = Sending End Voltage/cos(Electrical Length of Line) to evaluate the Thevenin's Voltage of Line, The Thevenin's Voltage of Line formula is defined as the equivalent voltage source that represents the behavior of the line as seen from a specific point mainly used in electrical circuit analysis. Thevenin's Voltage of Line is denoted by V_th symbol.

How to evaluate Thevenin's Voltage of Line using this online evaluator? To use this online evaluator for Thevenin's Voltage of Line, enter Sending End Voltage (V_s) & Electrical Length of Line (θ) and hit the calculate button.

FAQs on Thevenin's Voltage of Line

What is the formula to find Thevenin's Voltage of Line?

The formula of Thevenin's Voltage of Line is expressed as Thevenin's Voltage of Line = Sending End Voltage/cos(Electrical Length of Line). Here is an example- 57.4656 = 54/cos(0.3490658503988).

How to calculate Thevenin's Voltage of Line?

With Sending End Voltage (V_s) & Electrical Length of Line (θ) we can find Thevenin's Voltage of Line using the formula - Thevenin's Voltage of Line = Sending End Voltage/cos(Electrical Length of Line). This formula also uses Cosine (cos) function(s).

Can the Thevenin's Voltage of Line be negative?

No, the Thevenin's Voltage of Line, measured in Electric Potential cannot be negative.

Which unit is used to measure Thevenin's Voltage of Line?

Thevenin's Voltage of Line is usually measured using the Volt[V] for Electric Potential. Millivolt[V], Microvolt[V], Nanovolt[V] are the few other units in which Thevenin's Voltage of Line can be measured.

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Thevenin's Voltage of Line Formula

Thevenin's Voltage of Line Example

Thevenin's Voltage of Line Solution

Thevenin's Voltage of Line Formula Elements

Other formulas in AC Transmission Line Analysis category

How to Evaluate Thevenin's Voltage of Line?

FAQs on Thevenin's Voltage of Line

Variable Name