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Receiving End Current using Losses (STL) Formula

GoReceiving End Current using Receiving End Power (STL) Formula

GoReceiving End Current using Transmission Efficiency (STL) Formula

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

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

I_r - Receiving End Current?P_loss - Power Loss?R - Resistance?

Receiving End Current using Losses (STL) Example

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Here is how the Receiving End Current using Losses (STL) equation looks like with Values.

Here is how the Receiving End Current using Losses (STL) equation looks like with Units.

Here is how the Receiving End Current using Losses (STL) equation looks like.

3.9014 = \sqrt{\frac{3000}{3 \cdot 65.7}}

3.9014A = \sqrt{\frac{3000W}{3 \cdot 65.7Ω}}

3.9014 = \sqrt{\frac{3000}{3 \cdot 65.7}}

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Receiving End Current using Losses (STL) Solution

Follow our step by step solution on how to calculate Receiving End Current using Losses (STL)?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

I r = \sqrt{\frac{3000W}{3 \cdot 65.7Ω}}

Next Step Prepare to Evaluate

∴

I r = \sqrt{\frac{3000}{3 \cdot 65.7}}

Next Step Evaluate

∴

I r = 3.90137157320435A

LAST Step Rounding Answer

∴

I r = 3.9014A

Receiving End Current using Losses (STL) Formula Elements

Variables

Functions

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

Power Loss

Power Loss is defined as the deviation in the power transferred from sending end to receiving end of a short transmission line.

Symbol: P_loss

Measurement: PowerUnit: W

Note: Value should be greater than 0.

Formulas to find Power Loss

Resistance

Resistance is defined as a measure of the opposition to current flow in a short transmission line.

Symbol: R

Measurement: Electric ResistanceUnit: Ω

Note: Value should be greater than 0.

Formulas to find Resistance

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

Other Formulas to find Receiving End Current

Go Receiving End Current using Receiving End Power (STL)

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

Go Receiving End Current using Transmission Efficiency (STL)

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

Go Receiving End Current using Sending End Angle (STL)

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

Go Receiving End Current using Impedance (STL)

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

Other formulas in Current category

Go Sending End Current using Sending End Power (STL)

I s = \frac{P s}{3 \cdot V s \cdot \cos (Φ s)}

Go Sending End Current using Losses (STL)

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

Go Sending End Current using Transmission Efficiency (STL)

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

Go Transmitted Current (SC Line)

I t = \frac{V t}{Z 0}

How to Evaluate Receiving End Current using Losses (STL)?

Receiving End Current using Losses (STL) evaluator uses Receiving End Current = sqrt(Power Loss/(3*Resistance)) to evaluate the Receiving End Current, The Receiving End Current using Losses (STL) is the current that flows into the load connected at the end of the line, considering line impedance negligible. It is determined by the receiving end voltage and load impedance, typically calculated using Ohm's law. Receiving End Current is denoted by I_r symbol.

How to evaluate Receiving End Current using Losses (STL) using this online evaluator? To use this online evaluator for Receiving End Current using Losses (STL), enter Power Loss (P_loss) & Resistance (R) and hit the calculate button.

FAQs on Receiving End Current using Losses (STL)

What is the formula to find Receiving End Current using Losses (STL)?

The formula of Receiving End Current using Losses (STL) is expressed as Receiving End Current = sqrt(Power Loss/(3*Resistance)). Here is an example- 6.454972 = sqrt(3000/(3*65.7)).

How to calculate Receiving End Current using Losses (STL)?

With Power Loss (P_loss) & Resistance (R) we can find Receiving End Current using Losses (STL) using the formula - Receiving End Current = sqrt(Power Loss/(3*Resistance)). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Receiving End Current?

Here are the different ways to Calculate Receiving End Current-

Receiving End Current=Receiving End Power/(3*Receiving End Voltage*cos(Receiving End Phase Angle))
Receiving End Current=Transmission Efficiency*Sending End Voltage*Sending End Current*cos(Sending End Phase Angle)/(Receiving End Voltage*cos(Receiving End Phase Angle))
Receiving End Current=((3*Sending End Voltage*Sending End Current*cos(Sending End Phase Angle))-Power Loss)/(3*Receiving End Voltage*cos(Receiving End Phase Angle))

Can the Receiving End Current using Losses (STL) be negative?

Yes, the Receiving End Current using Losses (STL), measured in Electric Current can be negative.

Which unit is used to measure Receiving End Current using Losses (STL)?

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

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