Maximum Voltage using Load Current Per Phase (3-Phase 3-Wire US) 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 DC is defined as the current flowing through the overhead ac supply wire.ⓘ Current underground DC [C₁]			+10% -10%
✖Theta is an angle that can be defined as the figure formed by two rays meeting at a common endpoint.ⓘ Theta [θ]			+10% -10%

✖Maximum Voltage the highest voltage rating for electrical devices.ⓘ Maximum Voltage using Load Current Per Phase (3-Phase 3-Wire US) [V_m]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Power System Formula PDF PDF Image

Maximum Voltage using Load Current Per Phase (3-Phase 3-Wire US) Solution

STEP 0: Pre-Calculation Summary

Formula Used

Maximum Voltage = (sqrt(6)*Power Transmitted)/(3*Current underground DC*cos(Theta))
V_m = (sqrt(6)*P)/(3*C₁*cos(θ))
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 - (Measured in Volt) - Maximum Voltage the highest voltage rating for electrical devices.
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 DC - (Measured in Ampere) - Current underground DC is defined as the current flowing through the overhead ac supply wire.
Theta - (Measured in Radian) - Theta is an angle that can be defined as the figure formed by two rays meeting at a common endpoint.

STEP 1: Convert Input(s) to Base Unit

Power Transmitted: 300 Watt --> 300 Watt No Conversion Required
Current underground DC: 3 Ampere --> 3 Ampere No Conversion Required
Theta: 30 Degree --> 0.5235987755982 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V_m = (sqrt(6)*P)/(3*C₁*cos(θ)) --> (sqrt(6)*300)/(3*3*cos(0.5235987755982))

Evaluating ... ...

V_m = 94.2809041582063

STEP 3: Convert Result to Output's Unit

94.2809041582063 Volt --> No Conversion Required

FINAL ANSWER

94.2809041582063 ≈ 94.2809 Volt <-- Maximum Voltage

(Calculation completed in 00.004 seconds)

You are here -

Home » Engineering » Electrical » Power System » Underground DC Supply » 3 Wire System » Current and Voltage » Maximum Voltage using Load Current Per Phase (3-Phase 3-Wire US)

Credits

Created by Urvi Rathod

Vishwakarma Government Engineering College (VGEC), Ahmedabad

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

Verified by Payal Priya

Birsa Institute of Technology (BIT), Sindri

Payal Priya has verified this Calculator and 1900+ more calculators!

< Current and Voltage Calculators

Maximum Voltage using Area of X-Section (DC Three-Wire US)

LaTeX Go Maximum Voltage = sqrt(2*(Power Transmitted^2)*Resistivity*Length of Wire DC/(Line Losses*Area of underground dc wire))

Maximum Voltage using Volume of Conductor Material(DC Three-Wire US)

LaTeX Go Maximum Voltage = sqrt(5*Resistivity*(Power Transmitted*Length of Wire DC)^2/(Line Losses*Volume Of Conductor))

Maximum Voltage using Line Losses (DC Three-Wire US)

LaTeX Go Maximum Voltage = sqrt(2*(Power Transmitted^2)*Resistance underground DC/(Line Losses))

Load Current using Line Losses (DC Three-Wire US)

LaTeX Go Current underground DC = sqrt(Line Losses/(2*Resistance underground DC))

Maximum Voltage using Load Current Per Phase (3-Phase 3-Wire US) Formula

LaTeX Go

Maximum Voltage = (sqrt(6)*Power Transmitted)/(3*Current underground DC*cos(Theta))
V_m = (sqrt(6)*P)/(3*C₁*cos(θ))

What is the value of maximum voltage in 3-phase 3-wire US?

The maximum voltage between conductors is v_m/√3 so that r.m.s. value of voltage between them is v_m/√6.

How to Calculate Maximum Voltage using Load Current Per Phase (3-Phase 3-Wire US)?

Maximum Voltage using Load Current Per Phase (3-Phase 3-Wire US) calculator uses Maximum Voltage = (sqrt(6)*Power Transmitted)/(3*Current underground DC*cos(Theta)) to calculate the Maximum Voltage, The Maximum Voltage using Load Current Per Phase (3-phase 3-wire US) formula is defined as the highest voltage rating for electrical devices and equipment that can be used with the voltage definition. Maximum Voltage is denoted by V_m symbol.

How to calculate Maximum Voltage using Load Current Per Phase (3-Phase 3-Wire US) using this online calculator? To use this online calculator for Maximum Voltage using Load Current Per Phase (3-Phase 3-Wire US), enter Power Transmitted (P), Current underground DC (C₁) & Theta (θ) and hit the calculate button. Here is how the Maximum Voltage using Load Current Per Phase (3-Phase 3-Wire US) calculation can be explained with given input values -> 94.2809 = (sqrt(6)*300)/(3*3*cos(0.5235987755982)).

FAQ

What is Maximum Voltage using Load Current Per Phase (3-Phase 3-Wire US)?

The Maximum Voltage using Load Current Per Phase (3-phase 3-wire US) 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(6)*P)/(3*C₁*cos(θ)) or Maximum Voltage = (sqrt(6)*Power Transmitted)/(3*Current underground DC*cos(Theta)). 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 DC is defined as the current flowing through the overhead ac supply wire & Theta is an angle that can be defined as the figure formed by two rays meeting at a common endpoint.

How to calculate Maximum Voltage using Load Current Per Phase (3-Phase 3-Wire US)?

The Maximum Voltage using Load Current Per Phase (3-phase 3-wire US) 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 = (sqrt(6)*Power Transmitted)/(3*Current underground DC*cos(Theta)). To calculate Maximum Voltage using Load Current Per Phase (3-Phase 3-Wire US), you need Power Transmitted (P), Current underground DC (C₁) & Theta (θ). With our tool, you need to enter the respective value for Power Transmitted, Current underground DC & Theta 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?

In this formula, Maximum Voltage uses Power Transmitted, Current underground DC & Theta. We can use 3 other way(s) to calculate the same, which is/are as follows -

Maximum Voltage = sqrt(5*Resistivity*(Power Transmitted*Length of Wire DC)^2/(Line Losses*Volume Of Conductor))
Maximum Voltage = sqrt(2*(Power Transmitted^2)*Resistivity*Length of Wire DC/(Line Losses*Area of underground dc wire))
Maximum Voltage = sqrt(2*(Power Transmitted^2)*Resistance underground DC/(Line Losses))

Home

FREE PDFs

🔍 Search