Maximum Voltage using Line Losses(Two-Wire Mid-Point Earthed) Solution

STEP 0: Pre-Calculation Summary
Formula Used
Maximum Voltage Overhead DC = Power Transmitted*sqrt(Resistivity*Length of Wire DC/(Line Losses*2*Area of Overhead DC Wire))
Vm = P*sqrt(ρ*L/(Ploss*2*A))
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
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.
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.
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.
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.
STEP 1: Convert Input(s) to Base Unit
Power Transmitted: 920 Watt --> 920 Watt 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
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
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Vm = P*sqrt(ρ*L/(Ploss*2*A)) --> 920*sqrt(1.7E-05*12.7/(0.74*2*0.65))
Evaluating ... ...
Vm = 13.782455930497
STEP 3: Convert Result to Output's Unit
13.782455930497 Volt --> No Conversion Required
FINAL ANSWER
13.782455930497 13.78246 Volt <-- Maximum Voltage Overhead DC
(Calculation completed in 00.020 seconds)

Credits

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Created by Urvi Rathod
Vishwakarma Government Engineering College (VGEC), Ahmedabad
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Verified by Shobhit Dimri
Bipin Tripathi Kumaon Institute of Technology (BTKIT), Dwarahat
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​ LaTeX ​ Go Maximum Voltage Overhead DC = Power Transmitted/(2*Current Overhead DC)
Load Current(Two-Wire Mid-Point Earthed)
​ LaTeX ​ Go Current Overhead DC = Power Transmitted/(2*Maximum Voltage Overhead DC)
Maximum Voltage (Two-Wire Mid-Point Earthed)
​ LaTeX ​ Go Maximum Voltage Overhead DC = 2*Maximum Voltage between Conductor and Earth

Maximum Voltage using Line Losses(Two-Wire Mid-Point Earthed) Formula

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

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 Maximum Voltage using Line Losses(Two-Wire Mid-Point Earthed)?

Maximum Voltage using Line Losses(Two-Wire Mid-Point Earthed) calculator uses Maximum Voltage Overhead DC = Power Transmitted*sqrt(Resistivity*Length of Wire DC/(Line Losses*2*Area of Overhead DC Wire)) to calculate the Maximum Voltage Overhead DC, The Maximum Voltage using Line Losses(Two-Wire Mid-point Earthed) formula is defined as the absolute maximum rated supply voltage is the maximum voltage that can be supplied between the positive supply (VCC) and negative supply (VEE) pins without causing characteristics degradation or damage to the internal circuit. Maximum Voltage Overhead DC is denoted by Vm symbol.

How to calculate Maximum Voltage using Line Losses(Two-Wire Mid-Point Earthed) using this online calculator? To use this online calculator for Maximum Voltage using Line Losses(Two-Wire Mid-Point Earthed), enter Power Transmitted (P), Resistivity (ρ), Length of Wire DC (L), Line Losses (Ploss) & Area of Overhead DC Wire (A) and hit the calculate button. Here is how the Maximum Voltage using Line Losses(Two-Wire Mid-Point Earthed) calculation can be explained with given input values -> 13.78246 = 920*sqrt(1.7E-05*12.7/(0.74*2*0.65)).

FAQ

What is Maximum Voltage using Line Losses(Two-Wire Mid-Point Earthed)?
The Maximum Voltage using Line Losses(Two-Wire Mid-point Earthed) formula is defined as the absolute maximum rated supply voltage is the maximum voltage that can be supplied between the positive supply (VCC) and negative supply (VEE) pins without causing characteristics degradation or damage to the internal circuit and is represented as Vm = P*sqrt(ρ*L/(Ploss*2*A)) or Maximum Voltage Overhead DC = Power Transmitted*sqrt(Resistivity*Length of Wire DC/(Line Losses*2*Area of Overhead DC Wire)). Power Transmitted is defined as the product of current and voltage phasor in a overhead dc line at the receiving end, 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, 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.
How to calculate Maximum Voltage using Line Losses(Two-Wire Mid-Point Earthed)?
The Maximum Voltage using Line Losses(Two-Wire Mid-point Earthed) formula is defined as the absolute maximum rated supply voltage is the maximum voltage that can be supplied between the positive supply (VCC) and negative supply (VEE) pins without causing characteristics degradation or damage to the internal circuit is calculated using Maximum Voltage Overhead DC = Power Transmitted*sqrt(Resistivity*Length of Wire DC/(Line Losses*2*Area of Overhead DC Wire)). To calculate Maximum Voltage using Line Losses(Two-Wire Mid-Point Earthed), you need Power Transmitted (P), Resistivity (ρ), Length of Wire DC (L), Line Losses (Ploss) & Area of Overhead DC Wire (A). With our tool, you need to enter the respective value for Power Transmitted, Resistivity, Length of Wire DC, Line Losses & Area of Overhead DC Wire 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 Maximum Voltage Overhead DC?
In this formula, Maximum Voltage Overhead DC uses Power Transmitted, Resistivity, Length of Wire DC, Line Losses & Area of Overhead DC Wire. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Maximum Voltage Overhead DC = 2*Maximum Voltage between Conductor and Earth
  • Maximum Voltage Overhead DC = Power Transmitted/(2*Current Overhead DC)
  • Maximum Voltage Overhead DC = sqrt(Resistivity*(Power Transmitted*Length of Wire DC)^2/(Line Losses*Volume of Conductor))
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