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Electrical Efficiency of DC Machine Formula

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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. Check FAQs

η e = \frac{η m \cdot ω s \cdot τ}{V o \cdot I a}

η_e - Electrical Efficiency?η_m - Mechanical Efficiency?ω_s - Angular Speed?τ - Torque?V_o - Output Voltage?I_a - Armature Current?

Electrical Efficiency of DC Machine Example

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Here is how the Electrical Efficiency of DC Machine equation looks like with Values.

Here is how the Electrical Efficiency of DC Machine equation looks like with Units.

Here is how the Electrical Efficiency of DC Machine equation looks like.

0.8668 = \frac{0.49 \cdot 321 \cdot 0.62}{150 \cdot 0.75}

0.8668 = \frac{0.49 \cdot 321rad/s \cdot 0.62N*m}{150V \cdot 0.75A}

0.8668 = \frac{0.49 \cdot 321 \cdot 0.62}{150 \cdot 0.75}

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Electrical Efficiency of DC Machine Solution

Follow our step by step solution on how to calculate Electrical Efficiency of DC Machine?

FIRST Step Consider the formula

η e = \frac{η m \cdot ω s \cdot τ}{V o \cdot I a}

Next Step Substitute values of Variables

∴

η e = \frac{0.49 \cdot 321rad/s \cdot 0.62N*m}{150V \cdot 0.75A}

Next Step Prepare to Evaluate

∴

η e = \frac{0.49 \cdot 321 \cdot 0.62}{150 \cdot 0.75}

Next Step Evaluate

∴

η e = 0.866842666666667

LAST Step Rounding Answer

∴

η e = 0.8668

Electrical Efficiency of DC Machine Formula Elements

Variables

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.

Symbol: η_e

Measurement: NAUnit: Unitless

Note: Value should be less than 1.0001.

Formulas to find Electrical Efficiency

Mechanical Efficiency

Mechanical Efficiency the ratio of the power delivered by a mechanical system to the power supplied to it.

Symbol: η_m

Measurement: NAUnit: Unitless

Note: Value should be less than 1.0001.

Formulas to find Mechanical Efficiency

Angular Speed

Angular speed is the rate of rotation about an axis, measuring how the angle changes with time. It is measured in radian/sec.

Symbol: ω_s

Measurement: Angular VelocityUnit: rad/s

Note: Value should be greater than 0.

Formulas to find Angular Speed

Torque

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.

Symbol: τ

Measurement: TorqueUnit: N*m

Note: Value can be positive or negative.

Formulas to find Torque

Output Voltage

Output Voltage is the electrical potential difference between the two terminals of the dc machine. Output Voltage is also called the Terminal Voltage.

Symbol: V_o

Measurement: Electric PotentialUnit: V

Note: Value can be positive or negative.

Formulas to find Output Voltage

Armature Current

Armature Current is defined as the current developed in the armature of an electrical DC generator due to movement of rotor.

Symbol: I_a

Measurement: Electric CurrentUnit: A

Note: Value can be positive or negative.

Formulas to find Armature Current

Other formulas in DC Machine Characterstics category

Go Design Constant of DC Machine

K f = \frac{Z \cdot P}{2 \cdot π \cdot n ll}

Go Angular Speed of DC Machine using Kf

ω s = \frac{V a}{K f \cdot Φ \cdot I a}

Go Back Pitch for DC Machine

Y b = (\frac{2 \cdot n slot}{P}) + 1

Go Front Pitch for DC Machine

Y F = (\frac{2 \cdot n slot}{P}) - 1

How to Evaluate Electrical Efficiency of DC Machine?

Electrical Efficiency of DC Machine evaluator uses Electrical Efficiency = (Mechanical Efficiency*Angular Speed*Torque)/(Output Voltage*Armature Current) to evaluate 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 evaluate Electrical Efficiency of DC Machine using this online evaluator? To use this online evaluator 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.

FAQs on Electrical Efficiency of DC Machine

What is the formula to find Electrical Efficiency of DC Machine?

The formula of Electrical Efficiency of DC Machine is expressed as Electrical Efficiency = (Mechanical Efficiency*Angular Speed*Torque)/(Output Voltage*Armature Current). Here is an example- 0.866843 = (0.49*321*0.62)/(150*0.75).

How to calculate Electrical Efficiency of DC Machine?

With Mechanical Efficiency (η_m), Angular Speed (ω_s), Torque (τ), Output Voltage (V_o) & Armature Current (I_a) we can find Electrical Efficiency of DC Machine using the formula - Electrical Efficiency = (Mechanical Efficiency*Angular Speed*Torque)/(Output Voltage*Armature Current).

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Electrical Efficiency of DC Machine Formula

Electrical Efficiency of DC Machine Example

Electrical Efficiency of DC Machine Solution

Electrical Efficiency of DC Machine Formula Elements

Other formulas in DC Machine Characterstics category

How to Evaluate Electrical Efficiency of DC Machine?

FAQs on Electrical Efficiency of DC Machine

Variable Name