Electrical Efficiency of DC Motor Calculator

✖Armature Torque is defined as the electric torque induced by the armature winding in a dc motor.ⓘ Armature Torque [τ_a]			+10% -10%
✖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%
✖Supply Voltage is the input voltage being fed to the dc motor circuit.ⓘ Supply Voltage [V_s]			+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 of DC Motor [η_e]

⎘ Copy

👎

Formula

✖

Electrical Efficiency of DC Motor

Formula

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

Example

`"0.799988"=("0.424N*m"*"52.178rev/s")/("240V"*"0.724A")`

Calculator

LaTeX

Reset

👍

Download DC Motor Characteristics Formulas PDF PDF Image

Electrical Efficiency of DC Motor Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
Armature Torque - (Measured in Newton Meter) - Armature Torque is defined as the electric torque induced by the armature winding in a dc motor.
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.
Supply Voltage - (Measured in Volt) - Supply Voltage is the input voltage being fed to the dc motor circuit.
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.

STEP 1: Convert Input(s) to Base Unit

Armature Torque: 0.424 Newton Meter --> 0.424 Newton Meter No Conversion Required
Angular Speed: 52.178 Revolution per Second --> 327.844042941322 Radian per Second (Check conversion here)
Supply Voltage: 240 Volt --> 240 Volt No Conversion Required
Armature Current: 0.724 Ampere --> 0.724 Ampere No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

η_e = (τ_a*ω_s)/(V_s*I_a) --> (0.424*327.844042941322)/(240*0.724)

Evaluating ... ...

η_e = 0.799987765924957

STEP 3: Convert Result to Output's Unit

0.799987765924957 --> No Conversion Required

FINAL ANSWER

0.799987765924957 ≈ 0.799988 <-- Electrical Efficiency

(Calculation completed in 00.004 seconds)

You are here -

Home » Engineering » Electrical » Machine » DC Machines » DC Motor » DC Motor Characteristics » Electrical Efficiency of DC Motor

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!

< 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

Electrical Efficiency of DC Motor Formula

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

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 Electrical Efficiency of DC Motor?

Electrical Efficiency of DC Motor calculator uses Electrical Efficiency = (Armature Torque*Angular Speed)/(Supply Voltage*Armature Current) to calculate the Electrical Efficiency, The Electrical Efficiency of DC Motor formula is defined as the useful power output divided by the total electrical power consumed (a fractional expression). Electrical Efficiency is denoted by η_e symbol.

How to calculate Electrical Efficiency of DC Motor using this online calculator? To use this online calculator for Electrical Efficiency of DC Motor, enter Armature Torque (τ_a), Angular Speed (ω_s), Supply Voltage (V_s) & Armature Current (I_a) and hit the calculate button. Here is how the Electrical Efficiency of DC Motor calculation can be explained with given input values -> 0.799993 = (0.424*327.844042941322)/(240*0.724).

FAQ

What is Electrical Efficiency of DC Motor?

The Electrical Efficiency of DC Motor formula is defined as the useful power output divided by the total electrical power consumed (a fractional expression) and is represented as η_e = (τ_a*ω_s)/(V_s*I_a) or Electrical Efficiency = (Armature Torque*Angular Speed)/(Supply Voltage*Armature Current). Armature Torque is defined as the electric torque induced by the armature winding in a dc motor, 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, Supply Voltage is the input voltage being fed to the dc motor circuit & Armature Current DC motor is defined as the armature current developed in an electrical dc motor due to the rotation of rotor.

How to calculate Electrical Efficiency of DC Motor?

The Electrical Efficiency of DC Motor formula is defined as the useful power output divided by the total electrical power consumed (a fractional expression) is calculated using Electrical Efficiency = (Armature Torque*Angular Speed)/(Supply Voltage*Armature Current). To calculate Electrical Efficiency of DC Motor, you need Armature Torque (τ_a), Angular Speed (ω_s), Supply Voltage (V_s) & Armature Current (I_a). With our tool, you need to enter the respective value for Armature Torque, Angular Speed, Supply Voltage & Armature Current and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

Home

FREE PDFs

🔍 Search