Load Current(Single Phase Two Wire OS) Calculator

✖Power Transmitted is defined as the product of current and voltage phasor in a overhead ac line at the receiving end.ⓘ Power Transmitted [P]			+10% -10%
✖Voltage Overhead AC is defined as the amount of work or force required to start the conduction of current within a line.ⓘ Voltage Overhead AC [V_ac]			+10% -10%
✖Phase Difference is defined as the difference between the phasor of apparent and real power (in degrees) or between voltage and current in an ac circuit.ⓘ Phase Difference [Φ]			+10% -10%

✖Current Overhead AC is defined as the current flowing through the overhead ac supply wire.ⓘ Load Current(Single Phase Two Wire OS) [I]

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Formula

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Load Current(Single Phase Two Wire OS)

Formula

`"I" = (sqrt(2)*"P")/("V"_{"ac"}*cos("Φ"))`

Example

`"8.074244A"=(sqrt(2)*"890W")/("180V"*cos("30°"))`

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Load Current(Single Phase Two Wire OS) Solution

STEP 0: Pre-Calculation Summary

Formula Used

Current Overhead AC = (sqrt(2)*Power Transmitted)/(Voltage Overhead AC*cos(Phase Difference))
I = (sqrt(2)*P)/(V_ac*cos(Φ))
This formula uses 2 Functions, 4 Variables

Functions Used

cos - Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle., cos(Angle)
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

Current Overhead AC - (Measured in Ampere) - Current Overhead AC is defined as the current flowing through the overhead ac supply wire.
Power Transmitted - (Measured in Watt) - Power Transmitted is defined as the product of current and voltage phasor in a overhead ac line at the receiving end.
Voltage Overhead AC - (Measured in Volt) - Voltage Overhead AC is defined as the amount of work or force required to start the conduction of current within a line.
Phase Difference - (Measured in Radian) - Phase Difference is defined as the difference between the phasor of apparent and real power (in degrees) or between voltage and current in an ac circuit.

STEP 1: Convert Input(s) to Base Unit

Power Transmitted: 890 Watt --> 890 Watt No Conversion Required
Voltage Overhead AC: 180 Volt --> 180 Volt No Conversion Required
Phase Difference: 30 Degree --> 0.5235987755982 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

I = (sqrt(2)*P)/(V_ac*cos(Φ)) --> (sqrt(2)*890)/(180*cos(0.5235987755982))

Evaluating ... ...

I = 8.07424396695196

STEP 3: Convert Result to Output's Unit

8.07424396695196 Ampere --> No Conversion Required

FINAL ANSWER

8.07424396695196 ≈ 8.074244 Ampere <-- Current Overhead AC

(Calculation completed in 00.004 seconds)

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Home » Engineering » Electrical » Power System » Overhead AC Supply » 1-Φ 2-Wire System » Current & Voltage » Load Current(Single Phase Two Wire OS)

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Created by Urvi Rathod

Vishwakarma Government Engineering College (VGEC), Ahmedabad

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Bipin Tripathi Kumaon Institute of Technology (BTKIT), Dwarahat

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< 7 Current & Voltage Calculators

Maximum Voltage using Area of X-Section(Single Phase Two Wire OS)

Go Maximum Voltage Overhead AC = sqrt((4*Length of Overhead AC Wire*Resistivity*Power Transmitted^2)/(Area of Overhead AC Wire*Line Losses*cos(Phase Difference)^2))

RMS Voltage using Area of X-Section(Single Phase Two Wire OS)

Go Root Mean Square Voltage = sqrt((2*Length of Overhead AC Wire*Resistivity*Power Transmitted^2)/(Area of Overhead AC Wire*Line Losses*cos(Phase Difference)^2))

Load Current using Line Losses (Single Phase Two Wire OS)

Go Current Overhead AC = sqrt((Line Losses*Area of Overhead AC Wire)/(2*Resistivity*Length of Overhead AC Wire))

Load Current using Area of X-Section(Single Phase Two Wire OS)

Go Current Overhead AC = sqrt((Area of Overhead AC Wire*Line Losses)/(Resistivity*Length of Overhead AC Wire))

Maximum Voltage using Load Current (Single Phase Two Wire OS)

Go Maximum Voltage Overhead AC = (sqrt(2)*Power Transmitted)/(Current Overhead AC*cos(Phase Difference))

Load Current(Single Phase Two Wire OS)

Go Current Overhead AC = (sqrt(2)*Power Transmitted)/(Voltage Overhead AC*cos(Phase Difference))

RMS Voltage using Load Current (Single Phase Two Wire OS)

Go Root Mean Square Voltage = Power Transmitted/(Current Overhead AC*cos(Phase Difference))

Load Current(Single Phase Two Wire OS) Formula

Current Overhead AC = (sqrt(2)*Power Transmitted)/(Voltage Overhead AC*cos(Phase Difference))
I = (sqrt(2)*P)/(V_ac*cos(Φ))

What is the value of maximum voltage and volume of conductor material in this system?

The volume of conductor material required in this system is 2/cos ²θ times that of 2-wire d.c.system with the one conductor earthed. The maximum voltage between conductors is v _m so that r.m.s. value of voltage between them is v _m/ √2.

How to Calculate Load Current(Single Phase Two Wire OS)?

Load Current(Single Phase Two Wire OS) calculator uses Current Overhead AC = (sqrt(2)*Power Transmitted)/(Voltage Overhead AC*cos(Phase Difference)) to calculate the Current Overhead AC, The Load Current(single Phase two Wire OS) formula is defined as the current that flows into the load of the single-phase two-wire overhead system. Current Overhead AC is denoted by I symbol.

How to calculate Load Current(Single Phase Two Wire OS) using this online calculator? To use this online calculator for Load Current(Single Phase Two Wire OS), enter Power Transmitted (P), Voltage Overhead AC (V_ac) & Phase Difference (Φ) and hit the calculate button. Here is how the Load Current(Single Phase Two Wire OS) calculation can be explained with given input values -> 8.074244 = (sqrt(2)*890)/(180*cos(0.5235987755982)).

FAQ

What is Load Current(Single Phase Two Wire OS)?

The Load Current(single Phase two Wire OS) formula is defined as the current that flows into the load of the single-phase two-wire overhead system and is represented as I = (sqrt(2)*P)/(V_ac*cos(Φ)) or Current Overhead AC = (sqrt(2)*Power Transmitted)/(Voltage Overhead AC*cos(Phase Difference)). Power Transmitted is defined as the product of current and voltage phasor in a overhead ac line at the receiving end, Voltage Overhead AC is defined as the amount of work or force required to start the conduction of current within a line & Phase Difference is defined as the difference between the phasor of apparent and real power (in degrees) or between voltage and current in an ac circuit.

How to calculate Load Current(Single Phase Two Wire OS)?

The Load Current(single Phase two Wire OS) formula is defined as the current that flows into the load of the single-phase two-wire overhead system is calculated using Current Overhead AC = (sqrt(2)*Power Transmitted)/(Voltage Overhead AC*cos(Phase Difference)). To calculate Load Current(Single Phase Two Wire OS), you need Power Transmitted (P), Voltage Overhead AC (V_ac) & Phase Difference (Φ). With our tool, you need to enter the respective value for Power Transmitted, Voltage Overhead AC & Phase Difference 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 Current Overhead AC?

In this formula, Current Overhead AC uses Power Transmitted, Voltage Overhead AC & Phase Difference. We can use 2 other way(s) to calculate the same, which is/are as follows -

Current Overhead AC = sqrt((Area of Overhead AC Wire*Line Losses)/(Resistivity*Length of Overhead AC Wire))
Current Overhead AC = sqrt((Line Losses*Area of Overhead AC Wire)/(2*Resistivity*Length of Overhead AC Wire))

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