Armature Current of DC Motor Solution

STEP 0: Pre-Calculation Summary
Formula Used
Armature Current = Armature Voltage/(Constant of Machine Construction*Magnetic Flux*Angular Speed)
Ia = Va/(Kf*Φ*ωs)
This formula uses 5 Variables
Variables Used
Armature Current - (Measured in Ampere) - Armature Current DC motor is defined as the armature current developed in an electrical dc motor due to the rotation of rotor.
Armature Voltage - (Measured in Volt) - 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.
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.
Angular Speed - (Measured in Radian per Second) - 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.
STEP 1: Convert Input(s) to Base Unit
Armature Voltage: 320 Volt --> 320 Volt No Conversion Required
Constant of Machine Construction: 1.135 --> No Conversion Required
Magnetic Flux: 1.187 Weber --> 1.187 Weber No Conversion Required
Angular Speed: 52.178 Revolution per Second --> 327.844042941322 Radian per Second (Check conversion ​here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Ia = Va/(Kf*Φ*ωs) --> 320/(1.135*1.187*327.844042941322)
Evaluating ... ...
Ia = 0.724496181883086
STEP 3: Convert Result to Output's Unit
0.724496181883086 Ampere --> No Conversion Required
FINAL ANSWER
0.724496181883086 0.724496 Ampere <-- Armature Current
(Calculation completed in 00.004 seconds)

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Vishwakarma Government Engineering College (VGEC), Ahmedabad
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25 DC Motor Characteristics Calculators

Supply Voltage given Overall Efficiency of DC Motor
​ Go Supply Voltage = ((Electric Current-Shunt Field Current)^2*Armature Resistance+Mechanical Losses+Core Losses)/(Electric Current*(1-Overall Efficiency))
Machine Construction Constant of DC Motor
​ Go Constant of Machine Construction = (Supply Voltage-Armature Current*Armature Resistance)/(Magnetic Flux*Motor Speed)
Motor Speed of DC Motor given Flux
​ Go Motor Speed = (Supply Voltage-Armature Current*Armature Resistance)/(Constant of Machine Construction*Magnetic Flux)
Magnetic Flux of DC Motor
​ Go Magnetic Flux = (Supply Voltage-Armature Current*Armature Resistance)/(Constant of Machine Construction*Motor Speed)
Back EMF Equation of DC Motor
​ Go Back EMF = (Number of Poles*Magnetic Flux*Number of Conductors*Motor Speed)/(60*Number of Parallel Paths)
Motor Speed of DC Motor
​ Go Motor Speed = (60*Number of Parallel Paths*Back EMF)/(Number of Conductors*Number of Poles*Magnetic Flux)
Overall Efficiency of DC Motor given Input Power
​ Go Overall Efficiency = (Input Power-(Armature Copper Loss+Field Copper Losses+Power Loss))/Input Power
Armature Current of DC Motor
​ Go Armature Current = Armature Voltage/(Constant of Machine Construction*Magnetic Flux*Angular Speed)
Armature Current given Electrical Efficiency of DC Motor
​ Go Armature Current = (Angular Speed*Armature Torque)/(Supply Voltage*Electrical Efficiency)
Supply Voltage given Electrical Efficiency of DC Motor
​ Go Supply Voltage = (Angular Speed*Armature Torque)/(Armature Current*Electrical Efficiency)
Electrical Efficiency of DC Motor
​ Go Electrical Efficiency = (Armature Torque*Angular Speed)/(Supply Voltage*Armature Current)
Armature Torque given Electrical Efficiency of DC Motor
​ Go Armature Torque = (Armature Current*Supply Voltage*Electrical Efficiency)/Angular Speed
Angular Speed given Electrical Efficiency of DC Motor
​ Go Angular Speed = (Electrical Efficiency*Supply Voltage*Armature Current)/Armature Torque
Mechanical Power Developed in DC Motor given Input Power
​ Go Mechanical Power = Input Power-(Armature Current^2*Armature Resistance)
Total Power Loss given Overall Efficiency of DC Motor
​ Go Power Loss = Input Power-Overall Efficiency*Input Power
Armature Torque given Mechanical Efficiency of DC Motor
​ Go Armature Torque = Mechanical Efficiency*Motor Torque
Motor Torque given Mechanical Efficiency of DC Motor
​ Go Motor Torque = Armature Torque/Mechanical Efficiency
Mechanical Efficiency of DC Motor
​ Go Mechanical Efficiency = Armature Torque/Motor Torque
Converted Power given Electrical Efficiency of DC Motor
​ Go Converted Power = Electrical Efficiency*Input Power
Input Power given Electrical Efficiency of DC Motor
​ Go Input Power = Converted Power/Electrical Efficiency
Overall Efficiency of DC Motor
​ Go Overall Efficiency = Mechanical Power/Input Power
Output Power given Overall Efficiency of DC Motor
​ Go Output Power = Input Power*Overall Efficiency
Core Loss given Mechanical Loss of DC Motor
​ Go Core Losses = Constant Loss-Mechanical Losses
Constant Losses given Mechanical Loss
​ Go Constant Loss = Core Losses+Mechanical Losses
DC Motor Frequency given Speed
​ Go Frequency = (Number of Poles*Motor Speed)/120

Armature Current of DC Motor Formula

Armature Current = Armature Voltage/(Constant of Machine Construction*Magnetic Flux*Angular Speed)
Ia = Va/(Kf*Φ*ωs)

What is the effect of armature current in DC motor?

The current flowing through the armature conductors creates a magnetic field, which is called as armature flux. This armature flux distorts and weakens the magnetic flux produced by the main poles. This effect of armature flux on the main flux is known as armature reaction.

How to Calculate Armature Current of DC Motor?

Armature Current of DC Motor calculator uses Armature Current = Armature Voltage/(Constant of Machine Construction*Magnetic Flux*Angular Speed) to calculate 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 Ia symbol.

How to calculate Armature Current of DC Motor using this online calculator? To use this online calculator for Armature Current of DC Motor, enter Armature Voltage (Va), Constant of Machine Construction (Kf), Magnetic Flux (Φ) & Angular Speed s) and hit the calculate button. Here is how the Armature Current of DC Motor calculation can be explained with given input values -> 0.724492 = 320/(1.135*1.187*327.844042941322).

FAQ

What is Armature Current of DC Motor?
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 and is represented as Ia = Va/(Kf*Φ*ωs) or Armature Current = Armature Voltage/(Constant of Machine Construction*Magnetic Flux*Angular Speed). 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, 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 & 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.
How to calculate Armature Current of DC Motor?
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 is calculated using Armature Current = Armature Voltage/(Constant of Machine Construction*Magnetic Flux*Angular Speed). To calculate Armature Current of DC Motor, you need Armature Voltage (Va), Constant of Machine Construction (Kf), Magnetic Flux (Φ) & Angular Speed s). With our tool, you need to enter the respective value for Armature Voltage, Constant of Machine Construction, Magnetic Flux & Angular Speed 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 Armature Voltage, Constant of Machine Construction, Magnetic Flux & Angular Speed. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Armature Current = (Angular Speed*Armature Torque)/(Supply Voltage*Electrical Efficiency)
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