Armature Current of Series DC Motor Calculator

✖Torque is defined as a measure of the force that causes the rotor of an electrical machine to rotate about an axis.ⓘ Torque [τ]			+10% -10%
✖Constant of Machine construction is a constant term which is calculated separately to a make calculation less complex.ⓘ Constant of Machine Construction [K_f]			+10% -10%
✖Magnetic flux (Φ) is the number of magnetic field lines passing through the magnetic core of an electrical dc motor.ⓘ Magnetic Flux [Φ]			+10% -10%

✖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.ⓘ Armature Current of Series DC Motor [I_a]

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Formula

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Armature Current of Series DC Motor

Formula

`"I"_{"a"} = sqrt("τ"/("K"_{"f"}*"Φ"))`

Example

`"0.724925A"=sqrt("0.708N*m"/("1.135"*"1.187Wb"))`

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Armature Current of Series DC Motor Solution

STEP 0: Pre-Calculation Summary

Formula Used

Armature Current = sqrt(Torque/(Constant of Machine Construction*Magnetic Flux))
I_a = sqrt(τ/(K_f*Φ))
This formula uses 1 Functions, 4 Variables

Functions Used

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., sqrt(Number)

Variables Used

Armature Current - (Measured in Ampere) - 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.
Torque - (Measured in Newton Meter) - Torque is defined as a measure of the force that causes the rotor of an electrical machine to rotate about an axis.
Constant of Machine Construction - Constant of Machine construction is a constant term which is calculated separately to a make calculation less complex.
Magnetic Flux - (Measured in Weber) - Magnetic flux (Φ) is the number of magnetic field lines passing through the magnetic core of an electrical dc motor.

STEP 1: Convert Input(s) to Base Unit

Torque: 0.708 Newton Meter --> 0.708 Newton Meter No Conversion Required
Constant of Machine Construction: 1.135 --> No Conversion Required
Magnetic Flux: 1.187 Weber --> 1.187 Weber No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

I_a = sqrt(τ/(K_f*Φ)) --> sqrt(0.708/(1.135*1.187))

Evaluating ... ...

I_a = 0.724925436281606

STEP 3: Convert Result to Output's Unit

0.724925436281606 Ampere --> No Conversion Required

FINAL ANSWER

0.724925436281606 ≈ 0.724925 Ampere <-- Armature Current

(Calculation completed in 00.004 seconds)

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Created by Urvi Rathod

Vishwakarma Government Engineering College (VGEC), Ahmedabad

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< 4 Current Calculators

Armature Current of Series DC Motor given Speed

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

Armature Current of Series DC Motor using Voltage

Go Armature Current = (Supply Voltage-Armature Voltage)/(Armature Resistance+Series Field Resistance)

Armature Current of Series DC Motor

Go Armature Current = sqrt(Torque/(Constant of Machine Construction*Magnetic Flux))

Armature Current of Series DC Motor given Input Power

Go Armature Current = Input Power/Supply Voltage

Armature Current of Series DC Motor Formula

Armature Current = sqrt(Torque/(Constant of Machine Construction*Magnetic Flux))
I_a = sqrt(τ/(K_f*Φ))

What is a series DC motor?

A series wound DC motor like in the case of shunt wound DC motor or compound wound DC motor falls under the category of self-excited DC motors, and it gets its name from the fact that the field winding, in this case, is connected internally in series to the armature winding.

How to Calculate Armature Current of Series DC Motor?

Armature Current of Series DC Motor calculator uses Armature Current = sqrt(Torque/(Constant of Machine Construction*Magnetic Flux)) to calculate 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 calculate Armature Current of Series DC Motor using this online calculator? To use this online calculator for Armature Current of Series DC Motor, enter Torque (τ), Constant of Machine Construction (K_f) & Magnetic Flux (Φ) and hit the calculate button. Here is how the Armature Current of Series DC Motor calculation can be explained with given input values -> 0.560996 = sqrt(0.708/(1.135*1.187)).

FAQ

What is Armature Current of Series DC Motor?

The Armature Current of Series DC Motor formula is defined as the current flows into the armature winding of the DC series motor and is represented as I_a = sqrt(τ/(K_f*Φ)) or Armature Current = sqrt(Torque/(Constant of Machine Construction*Magnetic Flux)). Torque is defined as a measure of the force that causes the rotor of an electrical machine to rotate about an axis, Constant of Machine construction is a constant term which is calculated separately to a make calculation less complex & Magnetic flux (Φ) is the number of magnetic field lines passing through the magnetic core of an electrical dc motor.

How to calculate Armature Current of Series DC Motor?

The Armature Current of Series DC Motor formula is defined as the current flows into the armature winding of the DC series motor is calculated using Armature Current = sqrt(Torque/(Constant of Machine Construction*Magnetic Flux)). To calculate Armature Current of Series DC Motor, you need Torque (τ), Constant of Machine Construction (K_f) & Magnetic Flux (Φ). With our tool, you need to enter the respective value for Torque, Constant of Machine Construction & Magnetic Flux and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Armature Current?

In this formula, Armature Current uses Torque, Constant of Machine Construction & Magnetic Flux. We can use 3 other way(s) to calculate the same, which is/are as follows -

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

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