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Armature Current of Series DC Motor Formula

GoArmature Current of Series DC Motor using Voltage Formula

GoArmature Current of Series DC Motor given Speed Formula

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The armature current plays a crucial role in determining the performance and operation of a DC motor. It affects the motor's torque production, speed, and efficiency. Check FAQs

I a = \sqrt{\frac{τ}{K f \cdot Φ}}

I_a - Armature Current?τ - Torque?K_f - Constant of Machine Construction?Φ - Magnetic Flux?

Armature Current of Series DC Motor Example

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

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

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

0.7249 = \sqrt{\frac{0.708}{1.135 \cdot 1.187}}

0.7249A = \sqrt{\frac{0.708N*m}{1.135 \cdot 1.187Wb}}

0.7249 = \sqrt{\frac{0.708}{1.135 \cdot 1.187}}

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Armature Current of Series DC Motor Solution

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

FIRST Step Consider the formula

I a = \sqrt{\frac{τ}{K f \cdot Φ}}

Next Step Substitute values of Variables

∴

I a = \sqrt{\frac{0.708N*m}{1.135 \cdot 1.187Wb}}

Next Step Prepare to Evaluate

∴

I a = \sqrt{\frac{0.708}{1.135 \cdot 1.187}}

Next Step Evaluate

∴

I a = 0.724925436281606A

LAST Step Rounding Answer

∴

I a = 0.7249A

Armature Current of Series DC Motor Formula Elements

Variables

Functions

Armature Current

The armature current plays a crucial role in determining the performance and operation of a DC motor. It affects the motor's torque production, speed, and efficiency.

Symbol: I_a

Measurement: Electric CurrentUnit: A

Note: Value can be positive or negative.

Formulas to find Armature Current

Torque

Torque is defined as a measure of the force that causes the rotor of an electrical machine to rotate about an axis.

Symbol: τ

Measurement: TorqueUnit: N*m

Note: Value should be greater than 0.

Formulas to find Torque

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

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

Other Formulas to find Armature Current

Go Armature Current of Series DC Motor using Voltage

I a = \frac{V s - V a}{R a + R sf}

Go Armature Current of Series DC Motor given Speed

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

Go Armature Current of Series DC Motor given Input Power

I a = \frac{P in}{V s}

How to Evaluate Armature Current of Series DC Motor?

Armature Current of Series DC Motor evaluator uses Armature Current = sqrt(Torque/(Constant of Machine Construction*Magnetic Flux)) to evaluate the Armature Current, The Armature Current of Series DC Motor formula is defined as the current flows into the armature winding of the DC series motor. Armature Current is denoted by I_a symbol.

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

FAQs on Armature Current of Series DC Motor

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

The formula of Armature Current of Series DC Motor is expressed as Armature Current = sqrt(Torque/(Constant of Machine Construction*Magnetic Flux)). Here is an example- 0.560996 = sqrt(0.708/(1.135*1.187)).

How to calculate Armature Current of Series DC Motor?

With Torque (τ), Constant of Machine Construction (K_f) & Magnetic Flux (Φ) we can find Armature Current of Series DC Motor using the formula - Armature Current = sqrt(Torque/(Constant of Machine Construction*Magnetic Flux)). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Armature Current?

Here are the different ways to Calculate Armature Current-

Armature Current=(Supply Voltage-Armature Voltage)/(Armature Resistance+Series Field Resistance)
Armature Current=(Supply Voltage-Magnetic Flux*Constant of Machine Construction*Motor Speed)/(Armature Resistance+Series Field Resistance)
Armature Current=Input Power/Supply Voltage

Can the Armature Current of Series DC Motor be negative?

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

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

Armature Current of Series 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 Series DC Motor can be measured.

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