Armature Current given Electrical Efficiency of DC Motor Solution

STEP 0: Pre-Calculation Summary
Formula Used
Armature Current = (Angular Speed*Armature Torque)/(Supply Voltage*Electrical Efficiency)
Ia = (ωs*τa)/(Vs*ηe)
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.
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.
Armature Torque - (Measured in Newton Meter) - Armature Torque is defined as the electric torque induced by the armature winding in a dc motor.
Supply Voltage - (Measured in Volt) - Supply Voltage is the input voltage being fed to the dc motor circuit.
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.
STEP 1: Convert Input(s) to Base Unit
Angular Speed: 52.178 Revolution per Second --> 327.844042941322 Radian per Second (Check conversion ​here)
Armature Torque: 0.424 Newton Meter --> 0.424 Newton Meter No Conversion Required
Supply Voltage: 240 Volt --> 240 Volt No Conversion Required
Electrical Efficiency: 0.8 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Ia = (ωsa)/(Vse) --> (327.844042941322*0.424)/(240*0.8)
Evaluating ... ...
Ia = 0.723988928162086
STEP 3: Convert Result to Output's Unit
0.723988928162086 Ampere --> No Conversion Required
FINAL ANSWER
0.723988928162086 0.723989 Ampere <-- Armature Current
(Calculation completed in 00.020 seconds)

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DC Motor Characteristics Calculators

Machine Construction Constant of DC Motor
​ LaTeX ​ Go Constant of Machine Construction = (Supply Voltage-Armature Current*Armature Resistance)/(Magnetic Flux*Motor Speed)
Back EMF Equation of DC Motor
​ LaTeX ​ Go Back EMF = (Number of Poles*Magnetic Flux*Number of Conductors*Motor Speed)/(60*Number of Parallel Paths)
Armature Current given Electrical Efficiency of DC Motor
​ LaTeX ​ Go Armature Current = (Angular Speed*Armature Torque)/(Supply Voltage*Electrical Efficiency)
Supply Voltage given Electrical Efficiency of DC Motor
​ LaTeX ​ Go Supply Voltage = (Angular Speed*Armature Torque)/(Armature Current*Electrical Efficiency)

Armature Current given Electrical Efficiency of DC Motor Formula

​LaTeX ​Go
Armature Current = (Angular Speed*Armature Torque)/(Supply Voltage*Electrical Efficiency)
Ia = (ωs*τa)/(Vs*ηe)

What is electrical energy efficiency?

Electrical energy efficiency is understood as the reduction in power and energy demands from the electrical system without affecting the normal activities carried out in buildings, industrial plants, or any other transformation process. Additionally, an energy-efficient electrical installation allows the economical and technical optimization. That is the reduction of technical and economical costs of operation.

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

Armature Current given Electrical Efficiency of DC Motor calculator uses Armature Current = (Angular Speed*Armature Torque)/(Supply Voltage*Electrical Efficiency) to calculate 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 Ia symbol.

How to calculate Armature Current given Electrical Efficiency of DC Motor using this online calculator? To use this online calculator for Armature Current given Electrical Efficiency of DC Motor, enter Angular Speed s), Armature Torque a), Supply Voltage (Vs) & Electrical Efficiency e) and hit the calculate button. Here is how the Armature Current given Electrical Efficiency of DC Motor calculation can be explained with given input values -> 0.723994 = (327.844042941322*0.424)/(240*0.8).

FAQ

What is Armature Current given Electrical Efficiency of DC Motor?
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 and is represented as Ia = (ωsa)/(Vse) or Armature Current = (Angular Speed*Armature Torque)/(Supply Voltage*Electrical Efficiency). 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, Armature Torque is defined as the electric torque induced by the armature winding in a dc motor, Supply Voltage is the input voltage being fed to the dc motor circuit & Electrical Efficiency is define as useful power output divided by the total electrical power consumed (a fractional expression) for a given dc machine.
How to calculate Armature Current given Electrical Efficiency of DC Motor?
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 is calculated using Armature Current = (Angular Speed*Armature Torque)/(Supply Voltage*Electrical Efficiency). To calculate Armature Current given Electrical Efficiency of DC Motor, you need Angular Speed s), Armature Torque a), Supply Voltage (Vs) & Electrical Efficiency e). With our tool, you need to enter the respective value for Angular Speed, Armature Torque, Supply Voltage & Electrical Efficiency 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 Angular Speed, Armature Torque, Supply Voltage & Electrical Efficiency. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Armature Current = Armature Voltage/(Constant of Machine Construction*Magnetic Flux*Angular Speed)
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