Supply Voltage given Electrical Efficiency of DC Motor Calculator

✖Angular speed refers to the rate at which an object rotates around an axis. In the context of a DC (direct current) motor, angular speed represents how fast the motor's rotor is spinning.ⓘ Angular Speed [ω_s]			+10% -10%
✖Armature Torque is defined as the electric torque induced by the armature winding in a dc motor.ⓘ Armature Torque [τ_a]			+10% -10%
✖Armature Current DC motor is defined as the armature current developed in an electrical dc motor due to the rotation of rotor.ⓘ Armature Current [I_a]			+10% -10%
✖Electrical Efficiency is define as useful power output divided by the total electrical power consumed (a fractional expression) for a given dc machine.ⓘ Electrical Efficiency [η_e]			+10% -10%

✖Supply Voltage is the input voltage being fed to the dc motor circuit.ⓘ Supply Voltage given Electrical Efficiency of DC Motor [V_s]

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Formula

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Supply Voltage given Electrical Efficiency of DC Motor

Formula

`"V"_{"s"} = ("ω"_{"s"}*"τ"_{"a"})/("I"_{"a"}*"η"_{"e"})`

Example

`"239.9963V"=("52.178rev/s"*"0.424N*m")/("0.724A"*"0.8")`

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Supply Voltage given Electrical Efficiency of DC Motor Solution

STEP 0: Pre-Calculation Summary

Formula Used

Supply Voltage = (Angular Speed*Armature Torque)/(Armature Current*Electrical Efficiency)
V_s = (ω_s*τ_a)/(I_a*η_e)
This formula uses 5 Variables

Variables Used

Supply Voltage - (Measured in Volt) - Supply Voltage is the input voltage being fed to the dc motor circuit.
Angular Speed - (Measured in Radian per Second) - Angular speed refers to the rate at which an object rotates around an axis. In the context of a DC (direct current) motor, angular speed represents how fast the motor's rotor is spinning.
Armature Torque - (Measured in Newton Meter) - Armature Torque is defined as the electric torque induced by the armature winding in a dc motor.
Armature Current - (Measured in Ampere) - Armature Current DC motor is defined as the armature current developed in an electrical dc motor due to the rotation of rotor.
Electrical Efficiency - Electrical Efficiency is define as useful power output divided by the total electrical power consumed (a fractional expression) for a given dc machine.

STEP 1: Convert Input(s) to Base Unit

Angular Speed: 52.178 Revolution per Second --> 327.844042941322 Radian per Second (Check conversion here)
Armature Torque: 0.424 Newton Meter --> 0.424 Newton Meter No Conversion Required
Armature Current: 0.724 Ampere --> 0.724 Ampere No Conversion Required
Electrical Efficiency: 0.8 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V_s = (ω_s*τ_a)/(I_a*η_e) --> (327.844042941322*0.424)/(0.724*0.8)

Evaluating ... ...

V_s = 239.996329777487

STEP 3: Convert Result to Output's Unit

239.996329777487 Volt --> No Conversion Required

FINAL ANSWER

239.996329777487 ≈ 239.9963 Volt <-- Supply Voltage

(Calculation completed in 00.004 seconds)

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< 25 DC Motor Characteristics Calculators

Supply Voltage given Overall Efficiency of DC Motor

Go Supply Voltage = ((Electric Current-Shunt Field Current)^2*Armature Resistance+Mechanical Losses+Core Losses)/(Electric Current*(1-Overall Efficiency))

Machine Construction Constant of DC Motor

Go Constant of Machine Construction = (Supply Voltage-Armature Current*Armature Resistance)/(Magnetic Flux*Motor Speed)

Motor Speed of DC Motor given Flux

Go Motor Speed = (Supply Voltage-Armature Current*Armature Resistance)/(Constant of Machine Construction*Magnetic Flux)

Magnetic Flux of DC Motor

Go Magnetic Flux = (Supply Voltage-Armature Current*Armature Resistance)/(Constant of Machine Construction*Motor Speed)

Back EMF Equation of DC Motor

Go Back EMF = (Number of Poles*Magnetic Flux*Number of Conductors*Motor Speed)/(60*Number of Parallel Paths)

Motor Speed of DC Motor

Go Motor Speed = (60*Number of Parallel Paths*Back EMF)/(Number of Conductors*Number of Poles*Magnetic Flux)

Overall Efficiency of DC Motor given Input Power

Go Overall Efficiency = (Input Power-(Armature Copper Loss+Field Copper Losses+Power Loss))/Input Power

Armature Current of DC Motor

Go Armature Current = Armature Voltage/(Constant of Machine Construction*Magnetic Flux*Angular Speed)

Armature Current given Electrical Efficiency of DC Motor

Go Armature Current = (Angular Speed*Armature Torque)/(Supply Voltage*Electrical Efficiency)

Supply Voltage given Electrical Efficiency of DC Motor

Go Supply Voltage = (Angular Speed*Armature Torque)/(Armature Current*Electrical Efficiency)

Electrical Efficiency of DC Motor

Go Electrical Efficiency = (Armature Torque*Angular Speed)/(Supply Voltage*Armature Current)

Armature Torque given Electrical Efficiency of DC Motor

Go Armature Torque = (Armature Current*Supply Voltage*Electrical Efficiency)/Angular Speed

Angular Speed given Electrical Efficiency of DC Motor

Go Angular Speed = (Electrical Efficiency*Supply Voltage*Armature Current)/Armature Torque

Mechanical Power Developed in DC Motor given Input Power

Go Mechanical Power = Input Power-(Armature Current^2*Armature Resistance)

Total Power Loss given Overall Efficiency of DC Motor

Go Power Loss = Input Power-Overall Efficiency*Input Power

Armature Torque given Mechanical Efficiency of DC Motor

Go Armature Torque = Mechanical Efficiency*Motor Torque

Motor Torque given Mechanical Efficiency of DC Motor

Go Motor Torque = Armature Torque/Mechanical Efficiency

Mechanical Efficiency of DC Motor

Go Mechanical Efficiency = Armature Torque/Motor Torque

Converted Power given Electrical Efficiency of DC Motor

Go Converted Power = Electrical Efficiency*Input Power

Input Power given Electrical Efficiency of DC Motor

Go Input Power = Converted Power/Electrical Efficiency

Overall Efficiency of DC Motor

Go Overall Efficiency = Mechanical Power/Input Power

Output Power given Overall Efficiency of DC Motor

Go Output Power = Input Power*Overall Efficiency

Core Loss given Mechanical Loss of DC Motor

Go Core Losses = Constant Loss-Mechanical Losses

Constant Losses given Mechanical Loss

Go Constant Loss = Core Losses+Mechanical Losses

DC Motor Frequency given Speed

Go Frequency = (Number of Poles*Motor Speed)/120

Supply Voltage given Electrical Efficiency of DC Motor Formula

Supply Voltage = (Angular Speed*Armature Torque)/(Armature Current*Electrical Efficiency)
V_s = (ω_s*τ_a)/(I_a*η_e)

What is electrical energy efficiency?

Electrical energy efficiency is understood as the reduction in power and energy demands from the electrical system without affecting the normal activities carried out in buildings, industrial plants, or any other transformation process. Additionally, an energy-efficient electrical installation allows the economical and technical optimization. That is the reduction of technical and economical costs of operation.

How to Calculate Supply Voltage given Electrical Efficiency of DC Motor?

Supply Voltage given Electrical Efficiency of DC Motor calculator uses Supply Voltage = (Angular Speed*Armature Torque)/(Armature Current*Electrical Efficiency) to calculate the Supply Voltage, The Supply Voltage given Electrical Efficiency of DC Motor formula is defined as the difference in electric potential between two points, which (in a static electric field) is defined as the work needed per unit of charge to move a test charge between the two points. Supply Voltage is denoted by V_s symbol.

How to calculate Supply Voltage given Electrical Efficiency of DC Motor using this online calculator? To use this online calculator for Supply Voltage given Electrical Efficiency of DC Motor, enter Angular Speed (ω_s), Armature Torque (τ_a), Armature Current (I_a) & Electrical Efficiency (η_e) and hit the calculate button. Here is how the Supply Voltage given Electrical Efficiency of DC Motor calculation can be explained with given input values -> 239.9979 = (327.844042941322*0.424)/(0.724*0.8).

FAQ

What is Supply Voltage given Electrical Efficiency of DC Motor?

The Supply Voltage given Electrical Efficiency of DC Motor formula is defined as the difference in electric potential between two points, which (in a static electric field) is defined as the work needed per unit of charge to move a test charge between the two points and is represented as V_s = (ω_s*τ_a)/(I_a*η_e) or Supply Voltage = (Angular Speed*Armature Torque)/(Armature Current*Electrical Efficiency). Angular speed refers to the rate at which an object rotates around an axis. In the context of a DC (direct current) motor, angular speed represents how fast the motor's rotor is spinning, Armature Torque is defined as the electric torque induced by the armature winding in a dc motor, Armature Current DC motor is defined as the armature current developed in an electrical dc motor due to the rotation of rotor & Electrical Efficiency is define as useful power output divided by the total electrical power consumed (a fractional expression) for a given dc machine.

How to calculate Supply Voltage given Electrical Efficiency of DC Motor?

The Supply Voltage given Electrical Efficiency of DC Motor formula is defined as the difference in electric potential between two points, which (in a static electric field) is defined as the work needed per unit of charge to move a test charge between the two points is calculated using Supply Voltage = (Angular Speed*Armature Torque)/(Armature Current*Electrical Efficiency). To calculate Supply Voltage given Electrical Efficiency of DC Motor, you need Angular Speed (ω_s), Armature Torque (τ_a), Armature Current (I_a) & Electrical Efficiency (η_e). With our tool, you need to enter the respective value for Angular Speed, Armature Torque, Armature Current & Electrical Efficiency 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 Supply Voltage?

In this formula, Supply Voltage uses Angular Speed, Armature Torque, Armature Current & Electrical Efficiency. We can use 1 other way(s) to calculate the same, which is/are as follows -

Supply Voltage = ((Electric Current-Shunt Field Current)^2*Armature Resistance+Mechanical Losses+Core Losses)/(Electric Current*(1-Overall Efficiency))

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