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Armature Current of DC Motor Formula

GoArmature Current given Electrical Efficiency 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{V a}{K f \cdot Φ \cdot ω s}

I_a - Armature Current?V_a - Armature Voltage?K_f - Constant of Machine Construction?Φ - Magnetic Flux?ω_s - Angular Speed?

Armature Current of DC Motor Example

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

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

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

0.7245 = \frac{320}{1.135 \cdot 1.187 \cdot 52.178}

0.7245A = \frac{320V}{1.135 \cdot 1.187Wb \cdot 52.178rev/s}

0.7245 = \frac{320}{1.135 \cdot 1.187 \cdot 52.178}

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Armature Current of DC Motor Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

I a = \frac{320V}{1.135 \cdot 1.187Wb \cdot 52.178rev/s}

Next Step Convert Units

∴

I a = \frac{320V}{1.135 \cdot 1.187Wb \cdot 327.844rad/s}

Next Step Prepare to Evaluate

∴

I a = \frac{320}{1.135 \cdot 1.187 \cdot 327.844}

Next Step Evaluate

∴

I a = 0.724496181883086A

LAST Step Rounding Answer

∴

I a = 0.7245A

Armature Current 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

Armature Voltage

The Armature Voltage is described by making use of Faraday’s law of induction. Induced voltage of a closed circuit is described as rate of change of magnetic flux through that closed circuit.

Symbol: V_a

Measurement: Electric PotentialUnit: V

Note: Value can be positive or negative.

Formulas to find Armature Voltage

Constant of Machine Construction

Constant of Machine construction is a constant term which is calculated separately to a make calculation less complex.

Symbol: K_f

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Constant of Machine Construction

Magnetic Flux

Magnetic flux (Φ) is the number of magnetic field lines passing through the magnetic core of an electrical dc motor.

Symbol: Φ

Measurement: Magnetic FluxUnit: Wb

Note: Value should be greater than 0.

Formulas to find Magnetic Flux

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

Other Formulas to find Armature Current

Go Armature Current given Electrical Efficiency of DC Motor

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

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 of DC Motor?

Armature Current of DC Motor evaluator uses Armature Current = Armature Voltage/(Constant of Machine Construction*Magnetic Flux*Angular Speed) to evaluate the Armature Current, The Armature Current of DC Motor given Kf formula is defined as the current flows into the armature winding of the DC motor. The armature winding is typically located on the rotor (the rotating part) of the motor and consists of a series of coils or windings. Armature Current is denoted by I_a symbol.

How to evaluate Armature Current of DC Motor using this online evaluator? To use this online evaluator for Armature Current of DC Motor, enter Armature Voltage (V_a), Constant of Machine Construction (K_f), Magnetic Flux (Φ) & Angular Speed (ω_s) and hit the calculate button.

FAQs on Armature Current of DC Motor

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

The formula of Armature Current of DC Motor is expressed as Armature Current = Armature Voltage/(Constant of Machine Construction*Magnetic Flux*Angular Speed). Here is an example- 0.724492 = 320/(1.135*1.187*327.844042941322).

How to calculate Armature Current of DC Motor?

With Armature Voltage (V_a), Constant of Machine Construction (K_f), Magnetic Flux (Φ) & Angular Speed (ω_s) we can find Armature Current of DC Motor using the formula - Armature Current = Armature Voltage/(Constant of Machine Construction*Magnetic Flux*Angular Speed).

What are the other ways to Calculate Armature Current?

Here are the different ways to Calculate Armature Current-

Armature Current=(Angular Speed*Armature Torque)/(Supply Voltage*Electrical Efficiency)

Can the Armature Current of DC Motor be negative?

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

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

Armature Current 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 of DC Motor can be measured.

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Armature Current of DC Motor Formula

​GoArmature Current given Electrical Efficiency of DC Motor Formula

Armature Current of DC Motor Example

Armature Current of DC Motor Solution

Armature Current of DC Motor Formula Elements

Other Formulas to find Armature Current

Other formulas in DC Motor Characteristics category

How to Evaluate Armature Current of DC Motor?

FAQs on Armature Current of DC Motor

Variable Name

GoArmature Current given Electrical Efficiency of DC Motor Formula