Electrical Efficiency of DC Machine Calculator

✖Mechanical Efficiency the ratio of the power delivered by a mechanical system to the power supplied to it.ⓘ Mechanical Efficiency [η_m]			+10% -10%
✖Angular speed is the rate of rotation about an axis, measuring how the angle changes with time. It is measured in radian/sec.ⓘ Angular Speed [ω_s]			+10% -10%
✖Torque is the measure of the turning force produced by the armature. It is produced by the interaction between the magnetic field of the stator and the current flowing through armature.ⓘ Torque [τ]			+10% -10%
✖Output Voltage is the electrical potential difference between the two terminals of the dc machine. Output Voltage is also called the Terminal Voltage.ⓘ Output Voltage [V_o]			+10% -10%
✖Armature Current is defined as the current developed in the armature of an electrical DC generator due to movement of rotor.ⓘ Armature Current [I_a]			+10% -10%

✖Electrical efficiency is a measure of the ratio between the useful electrical energy output and the total electrical energy input of an electrical device or system.ⓘ Electrical Efficiency of DC Machine [η_e]

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Formula

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Electrical Efficiency of DC Machine

Formula

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

Example

`"0.866843"=("0.49"*"321rad/s"*"0.62N*m")/("150V"*"0.75A")`

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Download DC Machine Characterstics Formulas PDF

Electrical Efficiency of DC Machine Solution

STEP 0: Pre-Calculation Summary

Formula Used

Electrical Efficiency = (Mechanical Efficiency*Angular Speed*Torque)/(Output Voltage*Armature Current)
η_e = (η_m*ω_s*τ)/(V_o*I_a)
This formula uses 6 Variables

Variables Used

Electrical Efficiency - Electrical efficiency is a measure of the ratio between the useful electrical energy output and the total electrical energy input of an electrical device or system.
Mechanical Efficiency - Mechanical Efficiency the ratio of the power delivered by a mechanical system to the power supplied to it.
Angular Speed - (Measured in Radian per Second) - Angular speed is the rate of rotation about an axis, measuring how the angle changes with time. It is measured in radian/sec.
Torque - (Measured in Newton Meter) - Torque is the measure of the turning force produced by the armature. It is produced by the interaction between the magnetic field of the stator and the current flowing through armature.
Output Voltage - (Measured in Volt) - Output Voltage is the electrical potential difference between the two terminals of the dc machine. Output Voltage is also called the Terminal Voltage.
Armature Current - (Measured in Ampere) - Armature Current is defined as the current developed in the armature of an electrical DC generator due to movement of rotor.

STEP 1: Convert Input(s) to Base Unit

Mechanical Efficiency: 0.49 --> No Conversion Required
Angular Speed: 321 Radian per Second --> 321 Radian per Second No Conversion Required
Torque: 0.62 Newton Meter --> 0.62 Newton Meter No Conversion Required
Output Voltage: 150 Volt --> 150 Volt No Conversion Required
Armature Current: 0.75 Ampere --> 0.75 Ampere No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

η_e = (η_m*ω_s*τ)/(V_o*I_a) --> (0.49*321*0.62)/(150*0.75)

Evaluating ... ...

η_e = 0.866842666666667

STEP 3: Convert Result to Output's Unit

0.866842666666667 --> No Conversion Required

FINAL ANSWER

0.866842666666667 ≈ 0.866843 <-- Electrical Efficiency

(Calculation completed in 00.020 seconds)

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< 16 DC Machine Characterstics Calculators

Mechanical Efficiency given Induced Voltage and Armature Current

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

Electrical Efficiency of DC Machine

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

Design Constant of DC Machine

Go Machine Constant = (Number of Conductors*Number of Poles)/(2*pi*Number of Parallel Paths)

Angular Speed of DC Machine using Kf

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

Armature Induced Voltage of DC Machine given Kf

Go Armature Voltage = Machine Constant*Armature Current*Magnetic Flux*Angular Speed

Back EMF of DC Generator

Go Back EMF = Output Voltage-(Armature Current*Armature Resistance)

Magnetic Flux of DC Machine given Torque

Go Magnetic Flux = Torque/(Machine Constant*Armature Current)

EMF Generated in DC Machine with Lap Winding

Go EMF = (Rotor Speed*Number of Conductors*Flux per Pole)/60

Torque generated in DC Machine

Go Torque = Machine Constant*Magnetic Flux*Armature Current

Coil Span of DC Motor

Go Coil Span Factor = Number of Commutator Segments/Number of Poles

Front Pitch for DC Machine

Go Front Pitch = ((2*Number of Slots)/Number of Poles)-1

Back Pitch for DC Machine

Go Back Pitch = ((2*Number of Slots)/Number of Poles)+1

Input Power of DC Motor

Go Input Power = Supply Voltage*Armature Current

Pole Pitch in DC Generator

Go Pole Pitch = Number of Slots/Number of Poles

Back Pitch for DC Machine given Coil Span

Go Back Pitch = Coil Span*Coil Span Factor

Output Power of DC Machine

Go Output Power = Angular Speed*Torque

Electrical Efficiency of DC Machine Formula

Electrical Efficiency = (Mechanical Efficiency*Angular Speed*Torque)/(Output Voltage*Armature Current)
η_e = (η_m*ω_s*τ)/(V_o*I_a)

How does a dc shunt motor work?

The working principle of a DC Shunt Motor is that when the motor is turned on, DC passes between the stator and rotor. The pole as well as the armature will be generated by this current flow.

How to Calculate Electrical Efficiency of DC Machine?

Electrical Efficiency of DC Machine calculator uses Electrical Efficiency = (Mechanical Efficiency*Angular Speed*Torque)/(Output Voltage*Armature Current) to calculate the Electrical Efficiency, Electrical Efficiency of DC Machine is a measure of the ratio between the useful electrical energy output and the total electrical energy input of an electrical device or system. Electrical Efficiency is denoted by η_e symbol.

How to calculate Electrical Efficiency of DC Machine using this online calculator? To use this online calculator for Electrical Efficiency of DC Machine, enter Mechanical Efficiency (η_m), Angular Speed (ω_s), Torque (τ), Output Voltage (V_o) & Armature Current (I_a) and hit the calculate button. Here is how the Electrical Efficiency of DC Machine calculation can be explained with given input values -> 0.866843 = (0.49*321*0.62)/(150*0.75).

FAQ

What is Electrical Efficiency of DC Machine?

Electrical Efficiency of DC Machine is a measure of the ratio between the useful electrical energy output and the total electrical energy input of an electrical device or system and is represented as η_e = (η_m*ω_s*τ)/(V_o*I_a) or Electrical Efficiency = (Mechanical Efficiency*Angular Speed*Torque)/(Output Voltage*Armature Current). Mechanical Efficiency the ratio of the power delivered by a mechanical system to the power supplied to it, Angular speed is the rate of rotation about an axis, measuring how the angle changes with time. It is measured in radian/sec, Torque is the measure of the turning force produced by the armature. It is produced by the interaction between the magnetic field of the stator and the current flowing through armature, Output Voltage is the electrical potential difference between the two terminals of the dc machine. Output Voltage is also called the Terminal Voltage & Armature Current is defined as the current developed in the armature of an electrical DC generator due to movement of rotor.

How to calculate Electrical Efficiency of DC Machine?

Electrical Efficiency of DC Machine is a measure of the ratio between the useful electrical energy output and the total electrical energy input of an electrical device or system is calculated using Electrical Efficiency = (Mechanical Efficiency*Angular Speed*Torque)/(Output Voltage*Armature Current). To calculate Electrical Efficiency of DC Machine, you need Mechanical Efficiency (η_m), Angular Speed (ω_s), Torque (τ), Output Voltage (V_o) & Armature Current (I_a). With our tool, you need to enter the respective value for Mechanical Efficiency, Angular Speed, Torque, Output Voltage & Armature Current and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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