Maximum Voltage using Load Current (1-Phase 2-Wire Mid-Point Earthed) Calculator

✖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%
✖Current Underground AC is defined as the current flowing through the overhead ac supply wire.ⓘ Current Underground AC [I]			+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%

✖Maximum Voltage Underground AC is defined as the peak amplitude of the AC voltage supplied to the line or wire.ⓘ Maximum Voltage using Load Current (1-Phase 2-Wire Mid-Point Earthed) [V_m]

⎘ Copy

👎

Formula

✖

Maximum Voltage using Load Current (1-Phase 2-Wire Mid-Point Earthed)

Formula

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

Example

`"54.43311V"=(sqrt(2)*"300W")/("9A"*cos("30°"))`

Calculator

LaTeX

Reset

👍

Download Power System Formula PDF

Maximum Voltage using Load Current (1-Phase 2-Wire Mid-Point Earthed) Solution

STEP 0: Pre-Calculation Summary

Formula Used

Maximum Voltage Underground AC = (sqrt(2)*Power Transmitted)/(Current Underground AC*cos(Phase Difference))
V_m = (sqrt(2)*P)/(I*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

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.
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.
Current Underground AC - (Measured in Ampere) - Current Underground AC is defined as the current flowing through the overhead ac supply wire.
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: 300 Watt --> 300 Watt No Conversion Required
Current Underground AC: 9 Ampere --> 9 Ampere No Conversion Required
Phase Difference: 30 Degree --> 0.5235987755982 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V_m = (sqrt(2)*P)/(I*cos(Φ)) --> (sqrt(2)*300)/(9*cos(0.5235987755982))

Evaluating ... ...

V_m = 54.4331053951817

STEP 3: Convert Result to Output's Unit

54.4331053951817 Volt --> No Conversion Required

FINAL ANSWER

54.4331053951817 ≈ 54.43311 Volt <-- Maximum Voltage Underground AC

(Calculation completed in 00.004 seconds)

You are here -

Home » Engineering » Electrical » Power System » Underground AC Supply » 1-Φ 2-Wire Mid-Point Earthed System » Current & Voltage » Maximum Voltage using Load Current (1-Phase 2-Wire Mid-Point Earthed)

Credits

Created by Urvi Rathod

Vishwakarma Government Engineering College (VGEC), Ahmedabad

Urvi Rathod has created this Calculator and 1500+ more calculators!

Verified by Kethavath Srinath

Osmania University (OU), Hyderabad

Kethavath Srinath has verified this Calculator and 1200+ more calculators!

< 8 Current & Voltage Calculators

Maximum Voltage using Area of X-Section (1-Phase 2-Wire Mid-Point Earthed)

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

RMS Voltage using Area of X-Section (1-Phase 2-Wire Mid-Point Earthed)

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

Maximum Voltage using Line Losses (1-Phase 2-Wire Mid-Point Earthed)

Go Maximum Voltage Underground AC = ((2*Power Transmitted)/cos(Phase Difference))*sqrt(Resistance Underground AC/Line Losses)

RMS Voltage using Line Losses (1-Phase 2-Wire Mid-Point Earthed)

Go Root Mean Square Voltage = (Power Transmitted/cos(Phase Difference))*sqrt((2*Resistance Underground AC)/Line Losses)

Maximum Voltage using Load Current (1-Phase 2-Wire Mid-Point Earthed)

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

Load Current (1-Phase 2-Wire Mid-Point Earthed)

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

RMS Voltage using Load Current (1-Phase 2-Wire Mid-Point Earthed)

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

Load Current using Line Losses (1-Phase 2-Wire Mid-Point Earthed)

Go Current Underground AC = sqrt(Line Losses/(2*Resistance Underground AC))

Maximum Voltage using Load Current (1-Phase 2-Wire Mid-Point Earthed) Formula

Maximum Voltage Underground AC = (sqrt(2)*Power Transmitted)/(Current Underground AC*cos(Phase Difference))
V_m = (sqrt(2)*P)/(I*cos(Φ))

What is the value of volume of conductor material in this US?

The volume of conductor material required in this system is 2/cos²θ times that of 2-wire d.c.system with the one conductor earthed.

How to Calculate Maximum Voltage using Load Current (1-Phase 2-Wire Mid-Point Earthed)?

Maximum Voltage using Load Current (1-Phase 2-Wire Mid-Point Earthed) calculator uses Maximum Voltage Underground AC = (sqrt(2)*Power Transmitted)/(Current Underground AC*cos(Phase Difference)) to calculate the Maximum Voltage Underground AC, The Maximum Voltage using Load Current (1-phase 2-wire Mid-point Earthed) formula is defined as the highest voltage rating for electrical devices and equipment that can be used with the voltage definition. Maximum Voltage Underground AC is denoted by V_m symbol.

How to calculate Maximum Voltage using Load Current (1-Phase 2-Wire Mid-Point Earthed) using this online calculator? To use this online calculator for Maximum Voltage using Load Current (1-Phase 2-Wire Mid-Point Earthed), enter Power Transmitted (P), Current Underground AC (I) & Phase Difference (Φ) and hit the calculate button. Here is how the Maximum Voltage using Load Current (1-Phase 2-Wire Mid-Point Earthed) calculation can be explained with given input values -> 54.43311 = (sqrt(2)*300)/(9*cos(0.5235987755982)).

FAQ

What is Maximum Voltage using Load Current (1-Phase 2-Wire Mid-Point Earthed)?

The Maximum Voltage using Load Current (1-phase 2-wire Mid-point Earthed) formula is defined as the highest voltage rating for electrical devices and equipment that can be used with the voltage definition and is represented as V_m = (sqrt(2)*P)/(I*cos(Φ)) or Maximum Voltage Underground AC = (sqrt(2)*Power Transmitted)/(Current Underground AC*cos(Phase Difference)). 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, Current Underground AC is defined as the current flowing through the overhead ac supply wire & 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 Maximum Voltage using Load Current (1-Phase 2-Wire Mid-Point Earthed)?

The Maximum Voltage using Load Current (1-phase 2-wire Mid-point Earthed) formula is defined as the highest voltage rating for electrical devices and equipment that can be used with the voltage definition is calculated using Maximum Voltage Underground AC = (sqrt(2)*Power Transmitted)/(Current Underground AC*cos(Phase Difference)). To calculate Maximum Voltage using Load Current (1-Phase 2-Wire Mid-Point Earthed), you need Power Transmitted (P), Current Underground AC (I) & Phase Difference (Φ). With our tool, you need to enter the respective value for Power Transmitted, Current Underground 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 Maximum Voltage Underground AC?

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

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

Home

FREE PDFs

🔍 Search