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Armature Current given Electrical Efficiency of DC Motor Formula

GoArmature Current of DC Motor Formula

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Armature Current DC motor is defined as the armature current developed in an electrical dc motor due to the rotation of rotor. Check FAQs

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

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

Armature Current given Electrical Efficiency of DC Motor Example

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

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

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

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

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

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

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Armature Current given Electrical Efficiency of DC Motor Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Convert Units

∴

I a = \frac{327.844rad/s \cdot 0.424N*m}{240V \cdot 0.8}

Next Step Prepare to Evaluate

∴

I a = \frac{327.844 \cdot 0.424}{240 \cdot 0.8}

Next Step Evaluate

∴

I a = 0.723988928162086A

LAST Step Rounding Answer

∴

I a = 0.724A

Armature Current given Electrical Efficiency of DC Motor Formula Elements

Variables

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

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

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

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

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

Other Formulas to find Armature Current

Go Armature Current of DC Motor

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

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 Torque given Electrical Efficiency of DC Motor

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

How to Evaluate Armature Current given Electrical Efficiency of DC Motor?

Armature Current given Electrical Efficiency of DC Motor evaluator uses Armature Current = (Angular Speed*Armature Torque)/(Supply Voltage*Electrical Efficiency) to evaluate the Armature Current, The Armature Current given Electrical Efficiency of DC Motor formula is defined as the current that flows into the armature winding of the DC motor. Armature Current is denoted by I_a symbol.

How to evaluate Armature Current given Electrical Efficiency of DC Motor using this online evaluator? To use this online evaluator for Armature Current given Electrical Efficiency of DC Motor, enter Angular Speed (ω_s), Armature Torque (τ_a), Supply Voltage (V_s) & Electrical Efficiency (η_e) and hit the calculate button.

FAQs on Armature Current given Electrical Efficiency of DC Motor

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

The formula of Armature Current given Electrical Efficiency of DC Motor is expressed as Armature Current = (Angular Speed*Armature Torque)/(Supply Voltage*Electrical Efficiency). Here is an example- 0.723994 = (327.844042941322*0.424)/(240*0.8).

How to calculate Armature Current given Electrical Efficiency of DC Motor?

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

What are the other ways to Calculate Armature Current?

Here are the different ways to Calculate Armature Current-

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

Can the Armature Current given Electrical Efficiency of DC Motor be negative?

Yes, the Armature Current given Electrical Efficiency of DC Motor, measured in Electric Current can be negative.

Which unit is used to measure Armature Current given Electrical Efficiency of DC Motor?

Armature Current given Electrical Efficiency of DC Motor is usually measured using the Ampere[A] for Electric Current. Milliampere[A], Microampere[A], Centiampere[A] are the few other units in which Armature Current given Electrical Efficiency of DC Motor can be measured.

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Armature Current given Electrical Efficiency of DC Motor Formula

​GoArmature Current of DC Motor Formula

Armature Current given Electrical Efficiency of DC Motor Example

Armature Current given Electrical Efficiency of DC Motor Solution

Armature Current given Electrical Efficiency of DC Motor Formula Elements

Other Formulas to find Armature Current

Other formulas in DC Motor Characteristics category

How to Evaluate Armature Current given Electrical Efficiency of DC Motor?

FAQs on Armature Current given Electrical Efficiency of DC Motor

Variable Name

GoArmature Current of DC Motor Formula