Power Factor using Volume of Conductor Material(1 Phase 3 Wire US) Calculator

✖Resistivity is the measure of how strongly a material opposes the flow of current through them.ⓘ Resistivity [ρ]			+10% -10%
✖Power Transmitted is the amount of power that is transferred from its place of generation to a location where it is applied to perform useful work.ⓘ Power Transmitted [P]			+10% -10%
✖Length of Underground AC Wire is the total length of the wire from one end to other end.ⓘ Length of Underground AC Wire [L]			+10% -10%
✖Line Losses is defined as the total losses occurring in an Underground AC line when in use.ⓘ Line Losses [P_loss]			+10% -10%
✖Volume Of Conductor the 3-dimensional space enclosed by a conductor material.ⓘ Volume Of Conductor [V]			+10% -10%
✖Maximum Voltage Underground AC is defined as the peak amplitude of the AC voltage supplied to the line or wire.ⓘ Maximum Voltage Underground AC [V_m]			+10% -10%

✖The power factor of an AC electrical power system is defined as the ratio of the real power absorbed by the load to the apparent power flowing in the circuit.ⓘ Power Factor using Volume of Conductor Material(1 Phase 3 Wire US) [PF]

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Power Factor using Volume of Conductor Material(1 Phase 3 Wire US) Solution

STEP 0: Pre-Calculation Summary

Formula Used

Power Factor = sqrt(10*Resistivity*((Power Transmitted*Length of Underground AC Wire)^2)/(Line Losses*Volume Of Conductor*((Maximum Voltage Underground AC)^2)))
PF = sqrt(10*ρ*((P*L)^2)/(P_loss*V*((V_m)^2)))
This formula uses 1 Functions, 7 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

Power Factor - The power factor of an AC electrical power system is defined as the ratio of the real power absorbed by the load to the apparent power flowing in the circuit.
Resistivity - (Measured in Ohm Meter) - Resistivity is the measure of how strongly a material opposes the flow of current through them.
Power Transmitted - (Measured in Watt) - Power Transmitted is the amount of power that is transferred from its place of generation to a location where it is applied to perform useful work.
Length of Underground AC Wire - (Measured in Meter) - Length of Underground AC Wire is the total length of the wire from one end to other end.
Line Losses - (Measured in Watt) - Line Losses is defined as the total losses occurring in an Underground AC line when in use.
Volume Of Conductor - (Measured in Cubic Meter) - Volume Of Conductor the 3-dimensional space enclosed by a conductor material.
Maximum Voltage Underground AC - (Measured in Volt) - Maximum Voltage Underground AC is defined as the peak amplitude of the AC voltage supplied to the line or wire.

STEP 1: Convert Input(s) to Base Unit

Resistivity: 1.7E-05 Ohm Meter --> 1.7E-05 Ohm Meter No Conversion Required
Power Transmitted: 300 Watt --> 300 Watt No Conversion Required
Length of Underground AC Wire: 24 Meter --> 24 Meter No Conversion Required
Line Losses: 2.67 Watt --> 2.67 Watt No Conversion Required
Volume Of Conductor: 60 Cubic Meter --> 60 Cubic Meter No Conversion Required
Maximum Voltage Underground AC: 230 Volt --> 230 Volt No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

PF = sqrt(10*ρ*((P*L)^2)/(P_loss*V*((V_m)^2))) --> sqrt(10*1.7E-05*((300*24)^2)/(2.67*60*((230)^2)))

Evaluating ... ...

PF = 0.0322476346797657

STEP 3: Convert Result to Output's Unit

0.0322476346797657 --> No Conversion Required

FINAL ANSWER

0.0322476346797657 ≈ 0.032248 <-- Power Factor

(Calculation completed in 00.004 seconds)

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< Power and Power Factor Calculators

Transmitted Power using Volume of Conductor Material(1 Phase 3 Wire US)

LaTeX Go Power Transmitted = sqrt(Line Losses*Volume Of Conductor*(Maximum Voltage Underground AC*cos(Phase Difference))^2/(10*Resistivity*(Length of Underground AC Wire)^2))

Power Factor using Volume of Conductor Material(1 Phase 3 Wire US)

LaTeX Go Power Factor = sqrt(10*Resistivity*((Power Transmitted*Length of Underground AC Wire)^2)/(Line Losses*Volume Of Conductor*((Maximum Voltage Underground AC)^2)))

Power Factor using Load Current (1 Phase 3 Wire US)

LaTeX Go Power Factor = sqrt(2)*Power Transmitted/(Maximum Voltage Underground AC*Current Underground AC)

Power Factor Angle for Single Phase 3 Wire System

LaTeX Go Phase Difference = acos(Power Transmitted/(2*Voltage Underground AC*Current Underground AC))

Power Factor using Volume of Conductor Material(1 Phase 3 Wire US) Formula

LaTeX Go

What is the value of maximum voltage and volume of conductor material in 1-phase 3-wire system?

The volume of conductor material required in this system is 2.5/cos²θ 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 Power Factor using Volume of Conductor Material(1 Phase 3 Wire US)?

Power Factor using Volume of Conductor Material(1 Phase 3 Wire US) calculator uses Power Factor = sqrt(10*Resistivity*((Power Transmitted*Length of Underground AC Wire)^2)/(Line Losses*Volume Of Conductor*((Maximum Voltage Underground AC)^2))) to calculate the Power Factor, The Power Factor using Volume of Conductor Material(1 phase 3 wire US) formula is defined as the cosine of the angle between the voltage phasor and current phasor in an AC circuit. Power Factor is denoted by PF symbol.

How to calculate Power Factor using Volume of Conductor Material(1 Phase 3 Wire US) using this online calculator? To use this online calculator for Power Factor using Volume of Conductor Material(1 Phase 3 Wire US), enter Resistivity (ρ), Power Transmitted (P), Length of Underground AC Wire (L), Line Losses (P_loss), Volume Of Conductor (V) & Maximum Voltage Underground AC (V_m) and hit the calculate button. Here is how the Power Factor using Volume of Conductor Material(1 Phase 3 Wire US) calculation can be explained with given input values -> 0.032248 = sqrt(10*1.7E-05*((300*24)^2)/(2.67*60*((230)^2))).

FAQ

What is Power Factor using Volume of Conductor Material(1 Phase 3 Wire US)?

The Power Factor using Volume of Conductor Material(1 phase 3 wire US) formula is defined as the cosine of the angle between the voltage phasor and current phasor in an AC circuit and is represented as PF = sqrt(10*ρ*((P*L)^2)/(P_loss*V*((V_m)^2))) or Power Factor = sqrt(10*Resistivity*((Power Transmitted*Length of Underground AC Wire)^2)/(Line Losses*Volume Of Conductor*((Maximum Voltage Underground AC)^2))). Resistivity is the measure of how strongly a material opposes the flow of current through them, Power Transmitted is the amount of power that is transferred from its place of generation to a location where it is applied to perform useful work, Length of Underground AC Wire is the total length of the wire from one end to other end, Line Losses is defined as the total losses occurring in an Underground AC line when in use, Volume Of Conductor the 3-dimensional space enclosed by a conductor material & Maximum Voltage Underground AC is defined as the peak amplitude of the AC voltage supplied to the line or wire.

How to calculate Power Factor using Volume of Conductor Material(1 Phase 3 Wire US)?

The Power Factor using Volume of Conductor Material(1 phase 3 wire US) formula is defined as the cosine of the angle between the voltage phasor and current phasor in an AC circuit is calculated using Power Factor = sqrt(10*Resistivity*((Power Transmitted*Length of Underground AC Wire)^2)/(Line Losses*Volume Of Conductor*((Maximum Voltage Underground AC)^2))). To calculate Power Factor using Volume of Conductor Material(1 Phase 3 Wire US), you need Resistivity (ρ), Power Transmitted (P), Length of Underground AC Wire (L), Line Losses (P_loss), Volume Of Conductor (V) & Maximum Voltage Underground AC (V_m). With our tool, you need to enter the respective value for Resistivity, Power Transmitted, Length of Underground AC Wire, Line Losses, Volume Of Conductor & Maximum Voltage Underground AC 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 Power Factor?

In this formula, Power Factor uses Resistivity, Power Transmitted, Length of Underground AC Wire, Line Losses, Volume Of Conductor & Maximum Voltage Underground AC. We can use 3 other way(s) to calculate the same, which is/are as follows -

Power Factor = sqrt(2)*Power Transmitted/(Maximum Voltage Underground AC*Current Underground AC)
Power Factor = ((2*Power Transmitted/Maximum Voltage Underground AC)*sqrt(Resistivity*Length of Underground AC Wire/(Line Losses*Area of Underground AC Wire)))
Power Factor = ((2*Power Transmitted/Maximum Voltage Underground AC)*sqrt(Resistance Underground AC/(Line Losses)))

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