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Sending End Current (LTL) Formula

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Sending end current is the voltage at the sending end of a short transmission line. Check FAQs

I s = I r \cdot \cosh (γ \cdot L) + (\frac{V r \cdot \sinh (γ \cdot L)}{Z 0})

I_s - Sending End Current?I_r - Receiving End Current?γ - Propagation Constant?L - Length?V_r - Receiving End Voltage?Z₀ - Characteristic Impedance?

Sending End Current (LTL) Example

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Here is how the Sending End Current (LTL) equation looks like with Values.

Here is how the Sending End Current (LTL) equation looks like with Units.

Here is how the Sending End Current (LTL) equation looks like.

3865.4909 = 6.19 \cdot \cosh (1.24 \cdot 3) + (\frac{8.88 \cdot \sinh (1.24 \cdot 3)}{48.989})

3865.4909A = 6.19A \cdot \cosh (1.24 \cdot 3m) + (\frac{8.88kV \cdot \sinh (1.24 \cdot 3m)}{48.989Ω})

3865.4909 = 6.19 \cdot \cosh (1.24 \cdot 3) + (\frac{8.88 \cdot \sinh (1.24 \cdot 3)}{48.989})

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Sending End Current (LTL) Solution

Follow our step by step solution on how to calculate Sending End Current (LTL)?

FIRST Step Consider the formula

I s = I r \cdot \cosh (γ \cdot L) + (\frac{V r \cdot \sinh (γ \cdot L)}{Z 0})

Next Step Substitute values of Variables

∴

I s = 6.19A \cdot \cosh (1.24 \cdot 3m) + (\frac{8.88kV \cdot \sinh (1.24 \cdot 3m)}{48.989Ω})

Next Step Convert Units

∴

I s = 6.19A \cdot \cosh (1.24 \cdot 3m) + (\frac{8880V \cdot \sinh (1.24 \cdot 3m)}{48.989Ω})

Next Step Prepare to Evaluate

∴

I s = 6.19 \cdot \cosh (1.24 \cdot 3) + (\frac{8880 \cdot \sinh (1.24 \cdot 3)}{48.989})

Next Step Evaluate

∴

I s = 3865.49087028903A

LAST Step Rounding Answer

∴

I s = 3865.4909A

Sending End Current (LTL) Formula Elements

Variables

Functions

Sending End Current

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

Symbol: I_s

Measurement: Electric CurrentUnit: A

Note: Value can be positive or negative.

Formulas to find Sending End Current

Receiving End Current

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

Symbol: I_r

Measurement: Electric CurrentUnit: A

Note: Value can be positive or negative.

Formulas to find Receiving End Current

Propagation Constant

Propagation Constant is defined as the measure of the change in amplitude and phase per unit distance in a transmission line.

Symbol: γ

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Propagation Constant

Length

Length is defined as the end to end distance of the conductor used in a long transmission line.

Symbol: L

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Length

Receiving End Voltage

Receiving end voltage is the voltage developed at the receiving end of a long transmission line.

Symbol: V_r

Measurement: Electric PotentialUnit: kV

Note: Value can be positive or negative.

Formulas to find Receiving End Voltage

Characteristic Impedance

Characteristic Impedanceis defined as the ratio of the amplitudes of voltage and current of a single wave propagating along the transmission line.

Symbol: Z₀

Measurement: Electric ResistanceUnit: Ω

Note: Value should be greater than 0.

Formulas to find Characteristic Impedance

sinh

The hyperbolic sine function, also known as the sinh function, is a mathematical function that is defined as the hyperbolic analogue of the sine function.

Syntax: sinh(Number)

cosh

The hyperbolic cosine function is a mathematical function that is defined as the ratio of the sum of the exponential functions of x and negative x to 2.

Syntax: cosh(Number)

Other formulas in Current and Voltage category

Go Sending End Voltage (LTL)

V s = V r \cdot \cosh (γ \cdot L) + Z 0 \cdot I r \cdot \sinh (γ \cdot L)

Go Receiving End Current using Sending End Voltage (LTL)

I r = \frac{V s - (V r \cdot \cosh (γ \cdot L))}{Z 0 \cdot \sinh (γ \cdot L)}

Go Receiving End Current using Sending End Current (LTL)

I r = \frac{I s - (V r \cdot \frac{\sinh (γ \cdot L)}{Z 0})}{\cosh (γ \cdot L)}

Go Receiving End Voltage using Sending End Current (LTL)

V r = (I s - I r \cdot \cosh (γ \cdot L)) \cdot (\frac{Z 0}{\sinh (γ \cdot L)})

How to Evaluate Sending End Current (LTL)?

Sending End Current (LTL) evaluator uses Sending End Current = Receiving End Current*cosh(Propagation Constant*Length)+((Receiving End Voltage*sinh(Propagation Constant*Length))/Characteristic Impedance) to evaluate the Sending End Current, The Sending End Current (LTL) formula is defined as the current at the sending end of the long transmission lines. Sending End Current is denoted by I_s symbol.

How to evaluate Sending End Current (LTL) using this online evaluator? To use this online evaluator for Sending End Current (LTL), enter Receiving End Current (I_r), Propagation Constant (γ), Length (L), Receiving End Voltage (V_r) & Characteristic Impedance (Z₀) and hit the calculate button.

FAQs on Sending End Current (LTL)

What is the formula to find Sending End Current (LTL)?

The formula of Sending End Current (LTL) is expressed as Sending End Current = Receiving End Current*cosh(Propagation Constant*Length)+((Receiving End Voltage*sinh(Propagation Constant*Length))/Characteristic Impedance). Here is an example- 3865.491 = 6.19*cosh(1.24*3)+((8880*sinh(1.24*3))/48.989).

How to calculate Sending End Current (LTL)?

With Receiving End Current (I_r), Propagation Constant (γ), Length (L), Receiving End Voltage (V_r) & Characteristic Impedance (Z₀) we can find Sending End Current (LTL) using the formula - Sending End Current = Receiving End Current*cosh(Propagation Constant*Length)+((Receiving End Voltage*sinh(Propagation Constant*Length))/Characteristic Impedance). This formula also uses Hyperbolic Sine (sinh), Hyperbolic Cosine (cosh) function(s).

Can the Sending End Current (LTL) be negative?

Yes, the Sending End Current (LTL), measured in Electric Current can be negative.

Which unit is used to measure Sending End Current (LTL)?

Sending End Current (LTL) is usually measured using the Ampere[A] for Electric Current. Milliampere[A], Microampere[A], Centiampere[A] are the few other units in which Sending End Current (LTL) can be measured.

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Sending End Current (LTL) Formula

Sending End Current (LTL) Example

Sending End Current (LTL) Solution

Sending End Current (LTL) Formula Elements

Other formulas in Current and Voltage category

How to Evaluate Sending End Current (LTL)?

FAQs on Sending End Current (LTL)

Variable Name