Power Transmitted using Line Losses(Two-Wire Mid-Point Earthed) Solution

STEP 0: Pre-Calculation Summary
Formula Used
Power Transmitted = Maximum Voltage Overhead DC*sqrt(Line Losses*2*Area of Overhead DC Wire/(Resistivity*Length of Wire DC))
P = Vm*sqrt(Ploss*2*A/(ρ*L))
This formula uses 1 Functions, 6 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 Transmitted - (Measured in Watt) - Power Transmitted is defined as the product of current and voltage phasor in a overhead dc line at the receiving end.
Maximum Voltage Overhead DC - (Measured in Volt) - Maximum Voltage Overhead DC is defined as the peak amplitude of the AC voltage supplied to the line or wire.
Line Losses - (Measured in Watt) - Line Losses is defined as the total losses occurring in an Overhead DC line when in use.
Area of Overhead DC Wire - (Measured in Square Meter) - Area of Overhead DC Wire is defined as the cross-sectional area of the wire of an overhead DC supply system.
Resistivity - (Measured in Ohm Meter) - Resistivity is the measure of how strongly a material opposes the flow of current through them.
Length of Wire DC - (Measured in Meter) - Length of Wire DC is the total length of the wire from one end to other end.
STEP 1: Convert Input(s) to Base Unit
Maximum Voltage Overhead DC: 60.26 Volt --> 60.26 Volt No Conversion Required
Line Losses: 0.74 Watt --> 0.74 Watt No Conversion Required
Area of Overhead DC Wire: 0.65 Square Meter --> 0.65 Square Meter No Conversion Required
Resistivity: 1.7E-05 Ohm Meter --> 1.7E-05 Ohm Meter No Conversion Required
Length of Wire DC: 12.7 Meter --> 12.7 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
P = Vm*sqrt(Ploss*2*A/(ρ*L)) --> 60.26*sqrt(0.74*2*0.65/(1.7E-05*12.7))
Evaluating ... ...
P = 4022.4471080896
STEP 3: Convert Result to Output's Unit
4022.4471080896 Watt --> No Conversion Required
FINAL ANSWER
4022.4471080896 4022.447 Watt <-- Power Transmitted
(Calculation completed in 00.004 seconds)

Credits

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3 Power & Power Factor Calculators

Power Transmitted using Volume of Conductor Material(2-Wire Mid-Point Earthed OS)
Go Power Transmitted = sqrt(Line Losses*Volume of Conductor*(Maximum Voltage Overhead DC^2)/(Resistivity*(Length of Wire DC)^2))
Power Transmitted using Line Losses(Two-Wire Mid-Point Earthed)
Go Power Transmitted = Maximum Voltage Overhead DC*sqrt(Line Losses*2*Area of Overhead DC Wire/(Resistivity*Length of Wire DC))
Power Transmitted using Load Current(Two-Wire Mid-Point Earthed)
Go Power Transmitted = Current Overhead DC*2*Maximum Voltage Overhead DC

Power Transmitted using Line Losses(Two-Wire Mid-Point Earthed) Formula

Power Transmitted = Maximum Voltage Overhead DC*sqrt(Line Losses*2*Area of Overhead DC Wire/(Resistivity*Length of Wire DC))
P = Vm*sqrt(Ploss*2*A/(ρ*L))

What is the Volume of two-wire mid-point earthed system?

The volume of conductor material required in a two-wire mid-point earthed system is one-fourth of that required in a two-wire dc System with one conductor earthed.

How to Calculate Power Transmitted using Line Losses(Two-Wire Mid-Point Earthed)?

Power Transmitted using Line Losses(Two-Wire Mid-Point Earthed) calculator uses Power Transmitted = Maximum Voltage Overhead DC*sqrt(Line Losses*2*Area of Overhead DC Wire/(Resistivity*Length of Wire DC)) to calculate the Power Transmitted, The Power Transmitted using Line Losses(Two-Wire Mid-point Earthed) formula is defined as proportional to its effective range. The higher the transmit power, the farther a signal can travel, and the more obstructions it can effectively penetrate. Power Transmitted is denoted by P symbol.

How to calculate Power Transmitted using Line Losses(Two-Wire Mid-Point Earthed) using this online calculator? To use this online calculator for Power Transmitted using Line Losses(Two-Wire Mid-Point Earthed), enter Maximum Voltage Overhead DC (Vm), Line Losses (Ploss), Area of Overhead DC Wire (A), Resistivity (ρ) & Length of Wire DC (L) and hit the calculate button. Here is how the Power Transmitted using Line Losses(Two-Wire Mid-Point Earthed) calculation can be explained with given input values -> 4022.447 = 60.26*sqrt(0.74*2*0.65/(1.7E-05*12.7)).

FAQ

What is Power Transmitted using Line Losses(Two-Wire Mid-Point Earthed)?
The Power Transmitted using Line Losses(Two-Wire Mid-point Earthed) formula is defined as proportional to its effective range. The higher the transmit power, the farther a signal can travel, and the more obstructions it can effectively penetrate and is represented as P = Vm*sqrt(Ploss*2*A/(ρ*L)) or Power Transmitted = Maximum Voltage Overhead DC*sqrt(Line Losses*2*Area of Overhead DC Wire/(Resistivity*Length of Wire DC)). Maximum Voltage Overhead DC is defined as the peak amplitude of the AC voltage supplied to the line or wire, Line Losses is defined as the total losses occurring in an Overhead DC line when in use, Area of Overhead DC Wire is defined as the cross-sectional area of the wire of an overhead DC supply system, Resistivity is the measure of how strongly a material opposes the flow of current through them & Length of Wire DC is the total length of the wire from one end to other end.
How to calculate Power Transmitted using Line Losses(Two-Wire Mid-Point Earthed)?
The Power Transmitted using Line Losses(Two-Wire Mid-point Earthed) formula is defined as proportional to its effective range. The higher the transmit power, the farther a signal can travel, and the more obstructions it can effectively penetrate is calculated using Power Transmitted = Maximum Voltage Overhead DC*sqrt(Line Losses*2*Area of Overhead DC Wire/(Resistivity*Length of Wire DC)). To calculate Power Transmitted using Line Losses(Two-Wire Mid-Point Earthed), you need Maximum Voltage Overhead DC (Vm), Line Losses (Ploss), Area of Overhead DC Wire (A), Resistivity (ρ) & Length of Wire DC (L). With our tool, you need to enter the respective value for Maximum Voltage Overhead DC, Line Losses, Area of Overhead DC Wire, Resistivity & Length of Wire DC 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 Transmitted?
In this formula, Power Transmitted uses Maximum Voltage Overhead DC, Line Losses, Area of Overhead DC Wire, Resistivity & Length of Wire DC. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Power Transmitted = Current Overhead DC*2*Maximum Voltage Overhead DC
  • Power Transmitted = sqrt(Line Losses*Volume of Conductor*(Maximum Voltage Overhead DC^2)/(Resistivity*(Length of Wire DC)^2))
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