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Electrical Efficiency of DC Motor Formula

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Electrical Efficiency is define as useful power output divided by the total electrical power consumed (a fractional expression) for a given dc machine. Check FAQs

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

η_e - Electrical Efficiency?τ_a - Armature Torque?ω_s - Angular Speed?V_s - Supply Voltage?I_a - Armature Current?

Electrical Efficiency of DC Motor Example

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

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

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

0.8 = \frac{0.424 \cdot 52.178}{240 \cdot 0.724}

0.8 = \frac{0.424N*m \cdot 52.178rev/s}{240V \cdot 0.724A}

0.8 = \frac{0.424 \cdot 52.178}{240 \cdot 0.724}

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Electrical Efficiency of DC Motor Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

η e = \frac{0.424N*m \cdot 52.178rev/s}{240V \cdot 0.724A}

Next Step Convert Units

∴

η e = \frac{0.424N*m \cdot 327.844rad/s}{240V \cdot 0.724A}

Next Step Prepare to Evaluate

∴

η e = \frac{0.424 \cdot 327.844}{240 \cdot 0.724}

Next Step Evaluate

∴

η e = 0.799987765924957

LAST Step Rounding Answer

∴

η e = 0.8

Electrical Efficiency of DC Motor Formula Elements

Variables

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.

Symbol: η_e

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Electrical Efficiency

Armature Torque

Armature Torque is defined as the electric torque induced by the armature winding in a dc motor.

Symbol: τ_a

Measurement: TorqueUnit: N*m

Note: Value can be positive or negative.

Formulas to find Armature Torque

Angular Speed

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.

Symbol: ω_s

Measurement: Angular VelocityUnit: rev/s

Note: Value should be greater than 0.

Formulas to find Angular Speed

Supply Voltage

Supply Voltage is the input voltage being fed to the dc motor circuit.

Symbol: V_s

Measurement: Electric PotentialUnit: V

Note: Value should be greater than 0.

Formulas to find Supply Voltage

Armature Current

Armature Current DC motor is defined as the armature current developed in an electrical dc motor due to the rotation 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 Motor Characteristics category

Go Machine Construction Constant of DC Motor

K f = \frac{V s - I a \cdot R a}{Φ \cdot N}

Go Back EMF Equation of DC Motor

E b = \frac{n \cdot Φ \cdot Z \cdot N}{60 \cdot n ||}

Go Supply Voltage given Electrical Efficiency of DC Motor

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

Go Armature Current given Electrical Efficiency of DC Motor

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

How to Evaluate Electrical Efficiency of DC Motor?

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

FAQs on Electrical Efficiency of DC Motor

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

The formula of Electrical Efficiency of DC Motor is expressed as Electrical Efficiency = (Armature Torque*Angular Speed)/(Supply Voltage*Armature Current). Here is an example- 0.799993 = (0.424*327.844042941322)/(240*0.724).

How to calculate Electrical Efficiency of DC Motor?

With Armature Torque (τ_a), Angular Speed (ω_s), Supply Voltage (V_s) & Armature Current (I_a) we can find Electrical Efficiency of DC Motor using the formula - Electrical Efficiency = (Armature Torque*Angular Speed)/(Supply Voltage*Armature Current).

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Electrical Efficiency of DC Motor Formula

Electrical Efficiency of DC Motor Example

Electrical Efficiency of DC Motor Solution

Electrical Efficiency of DC Motor Formula Elements

Other formulas in DC Motor Characteristics category

How to Evaluate Electrical Efficiency of DC Motor?

FAQs on Electrical Efficiency of DC Motor

Variable Name