Load Current using Transmission Efficiency in Nominal Pi Method Calculator

✖Receiving End Power in PI is defined as the power at receiving end in a medium transmission line.ⓘ Receiving End Power in PI [P_r(pi)]			+10% -10%
✖Transmission Efficiency in PI is the total sideband power by the total transmitted power.ⓘ Transmission Efficiency in PI [η_pi]			+10% -10%
✖Resistance in PI is a measure of the opposition to current flow in a medium length transmission line.ⓘ Resistance in PI [R_pi]			+10% -10%

✖The Load Current in PI is the current that the appliance is drawing at that instant.ⓘ Load Current using Transmission Efficiency in Nominal Pi Method [I_L(pi)]

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Formula

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Load Current using Transmission Efficiency in Nominal Pi Method

Formula

`"I"_{"L(pi)"} = sqrt((("P"_{"r(pi)"}/"η"_{"pi"})-"P"_{"r(pi)"})/"R"_{"pi"}*3)`

Example

`"5.836114A"=sqrt((("250.1W"/"0.745")-"250.1W")/"7.54Ω"*3)`

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Load Current using Transmission Efficiency in Nominal Pi Method Solution

STEP 0: Pre-Calculation Summary

Formula Used

Load Current in PI = sqrt(((Receiving End Power in PI/Transmission Efficiency in PI)-Receiving End Power in PI)/Resistance in PI*3)
I_L(pi) = sqrt(((P_r(pi)/η_pi)-P_r(pi))/R_pi*3)
This formula uses 1 Functions, 4 Variables

Functions Used

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., sqrt(Number)

Variables Used

Load Current in PI - (Measured in Ampere) - The Load Current in PI is the current that the appliance is drawing at that instant.
Receiving End Power in PI - (Measured in Watt) - Receiving End Power in PI is defined as the power at receiving end in a medium transmission line.
Transmission Efficiency in PI - Transmission Efficiency in PI is the total sideband power by the total transmitted power.
Resistance in PI - (Measured in Ohm) - Resistance in PI is a measure of the opposition to current flow in a medium length transmission line.

STEP 1: Convert Input(s) to Base Unit

Receiving End Power in PI: 250.1 Watt --> 250.1 Watt No Conversion Required
Transmission Efficiency in PI: 0.745 --> No Conversion Required
Resistance in PI: 7.54 Ohm --> 7.54 Ohm No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

I_L(pi) = sqrt(((P_r(pi)/η_pi)-P_r(pi))/R_pi*3) --> sqrt(((250.1/0.745)-250.1)/7.54*3)

Evaluating ... ...

I_L(pi) = 5.83611383225982

STEP 3: Convert Result to Output's Unit

5.83611383225982 Ampere --> No Conversion Required

FINAL ANSWER

5.83611383225982 ≈ 5.836114 Ampere <-- Load Current in PI

(Calculation completed in 00.020 seconds)

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< 20 Nominal Pi-Method in Medium Line Calculators

Receiving End Current using Transmission Efficiency in Nominal Pi Method

Go Receiving End Current in PI = (Transmission Efficiency in PI*Sending End Power in PI)/(3*Receiving End Voltage in PI*(cos(Receiving End Phase Angle in PI)))

Receiving End Angle using Transmission Efficiency in Nominal Pi Method

Go Receiving End Phase Angle in PI = acos((Transmission Efficiency in PI*Sending End Power in PI)/(3*Receiving End Current in PI*Receiving End Voltage in PI))

Sending End Voltage using Transmission Efficiency in Nominal Pi Method

Go Sending End Voltage in PI = Receiving End Power in PI/(3*cos(Sending End Phase Angle in PI)*Sending End Current in PI)/Transmission Efficiency in PI

Sending End Current using Transmission Efficiency in Nominal Pi Method

Go Sending End Current in PI = Receiving End Power in PI/(3*cos(Sending End Phase Angle in PI)*Transmission Efficiency in PI*Sending End Voltage in PI)

Receiving End Voltage using Sending End Power in Nominal Pi Method

Go Receiving End Voltage in PI = (Sending End Power in PI-Power Loss in PI)/(Receiving End Current in PI*cos(Receiving End Phase Angle in PI))

Load Current using Transmission Efficiency in Nominal Pi Method

Go Load Current in PI = sqrt(((Receiving End Power in PI/Transmission Efficiency in PI)-Receiving End Power in PI)/Resistance in PI*3)

Voltage Regulation (Nominal Pi Method)

Go Voltage Regulation in PI = (Sending End Voltage in PI-Receiving End Voltage in PI)/Receiving End Voltage in PI

Losses using Transmission Efficiency in Nominal Pi Method

Go Power Loss in PI = (Receiving End Power in PI/Transmission Efficiency in PI)-Receiving End Power in PI

B Parameter for Reciprocal Network in Nominal Pi Method

Go B Parameter in PI = ((A Parameter in PI*D Parameter in PI)-1)/C Parameter in PI

C Parameter in Nominal Pi Method

Go C Parameter in PI = Admittance in PI*(1+(Admittance in PI*Impedance in PI/4))

Load Current using Losses in Nominal Pi Method

Go Load Current in PI = sqrt(Power Loss in PI/Resistance in PI)

Receiving End Voltage using Voltage Regulation in Nominal Pi Method

Go Receiving End Voltage in PI = Sending End Voltage in PI/(Voltage Regulation in PI+1)

Sending End Voltage using Voltage Regulation in Nominal Pi Method

Go Sending End Voltage in PI = Receiving End Voltage in PI*(Voltage Regulation in PI+1)

Sending End Power using Transmission Efficiency in Nominal Pi Method

Go Sending End Power in PI = Receiving End Power in PI/Transmission Efficiency in PI

Transmission Efficiency (Nominal Pi Method)

Go Transmission Efficiency in PI = Receiving End Power in PI/Sending End Power in PI

Impedance using A Parameter in Nominal Pi Method

Go Impedance in PI = 2*(A Parameter in PI-1)/Admittance in PI

A-Parameter in Nominal Pi Method

Go A Parameter in PI = 1+(Admittance in PI*Impedance in PI/2)

D Parameter in Nominal Pi Method

Go D Parameter in PI = 1+(Impedance in PI*Admittance in PI/2)

Losses in Nominal Pi Method

Go Power Loss in PI = (Load Current in PI^2)*Resistance in PI

Resistance using Losses in Nominal Pi Method

Go Resistance in PI = Power Loss in PI/Load Current in PI^2

Load Current using Transmission Efficiency in Nominal Pi Method Formula

Load Current in PI = sqrt(((Receiving End Power in PI/Transmission Efficiency in PI)-Receiving End Power in PI)/Resistance in PI*3)
I_L(pi) = sqrt(((P_r(pi)/η_pi)-P_r(pi))/R_pi*3)

Which of the following transmission line can be considered as a medium transmission line?

The transmission lines having a length of more than ₈₀ Km and less than ₂₀₀ Km are considered medium transmission lines. Their operating voltage is more than short transmission lines but less than long transmission lines.

How to Calculate Load Current using Transmission Efficiency in Nominal Pi Method?

Load Current using Transmission Efficiency in Nominal Pi Method calculator uses Load Current in PI = sqrt(((Receiving End Power in PI/Transmission Efficiency in PI)-Receiving End Power in PI)/Resistance in PI*3) to calculate the Load Current in PI, The Load Current using Transmission Efficiency in Nominal Pi method formula is defined as the current that flows into the load of the medium transmission line. Load Current in PI is denoted by I_L(pi) symbol.

How to calculate Load Current using Transmission Efficiency in Nominal Pi Method using this online calculator? To use this online calculator for Load Current using Transmission Efficiency in Nominal Pi Method, enter Receiving End Power in PI (P_r(pi)), Transmission Efficiency in PI (η_pi) & Resistance in PI (R_pi) and hit the calculate button. Here is how the Load Current using Transmission Efficiency in Nominal Pi Method calculation can be explained with given input values -> 5.847759 = sqrt(((250.1/0.745)-250.1)/7.54*3).

FAQ

What is Load Current using Transmission Efficiency in Nominal Pi Method?

The Load Current using Transmission Efficiency in Nominal Pi method formula is defined as the current that flows into the load of the medium transmission line and is represented as I_L(pi) = sqrt(((P_r(pi)/η_pi)-P_r(pi))/R_pi*3) or Load Current in PI = sqrt(((Receiving End Power in PI/Transmission Efficiency in PI)-Receiving End Power in PI)/Resistance in PI*3). Receiving End Power in PI is defined as the power at receiving end in a medium transmission line, Transmission Efficiency in PI is the total sideband power by the total transmitted power & Resistance in PI is a measure of the opposition to current flow in a medium length transmission line.

How to calculate Load Current using Transmission Efficiency in Nominal Pi Method?

The Load Current using Transmission Efficiency in Nominal Pi method formula is defined as the current that flows into the load of the medium transmission line is calculated using Load Current in PI = sqrt(((Receiving End Power in PI/Transmission Efficiency in PI)-Receiving End Power in PI)/Resistance in PI*3). To calculate Load Current using Transmission Efficiency in Nominal Pi Method, you need Receiving End Power in PI (P_r(pi)), Transmission Efficiency in PI (η_pi) & Resistance in PI (R_pi). With our tool, you need to enter the respective value for Receiving End Power in PI, Transmission Efficiency in PI & Resistance in PI and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Load Current in PI?

In this formula, Load Current in PI uses Receiving End Power in PI, Transmission Efficiency in PI & Resistance in PI. We can use 1 other way(s) to calculate the same, which is/are as follows -

Load Current in PI = sqrt(Power Loss in PI/Resistance in PI)

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