Armature Current of Series DC Generator given Torque Solution

STEP 0: Pre-Calculation Summary
Formula Used
Armature Current = (Torque*Angular Speed)/Armature Voltage
Ia = (τ*ωs)/Va
This formula uses 4 Variables
Variables Used
Armature Current - (Measured in Ampere) - Armature Current is defined as the current developed in the armature of an electrical DC generator due to movement of rotor.
Torque - (Measured in Newton Meter) - Torque is the measure of the turning force produced by the armature. It is produced by the interaction between the magnetic field of the stator and the current flowing through armature.
Angular Speed - (Measured in Radian per Second) - Angular speed is the rate of rotation about an axis, measuring how the angle changes with time. It is measured in radian/sec.
Armature Voltage - (Measured in Volt) - Armature Voltage is defined as voltage developed at the terminals of the armature winding of an AC or DC machine during the generation of power.
STEP 1: Convert Input(s) to Base Unit
Torque: 1.57 Newton Meter --> 1.57 Newton Meter No Conversion Required
Angular Speed: 115 Radian per Second --> 115 Radian per Second No Conversion Required
Armature Voltage: 275 Volt --> 275 Volt No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Ia = (τ*ωs)/Va --> (1.57*115)/275
Evaluating ... ...
Ia = 0.656545454545455
STEP 3: Convert Result to Output's Unit
0.656545454545455 Ampere --> No Conversion Required
FINAL ANSWER
0.656545454545455 0.656545 Ampere <-- Armature Current
(Calculation completed in 00.020 seconds)

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Vishwakarma Government Engineering College (VGEC), Ahmedabad
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Armature Current of Series DC Generator given Torque Formula

​LaTeX ​Go
Armature Current = (Torque*Angular Speed)/Armature Voltage
Ia = (τ*ωs)/Va

What is the range of Armature Current in Series DC Generator?

The range of armature current in a series DC generator depends on several factors, including the design of the generator and the load it is powering. However, in general, the armature current in a series DC generator can be quite high because the field winding and the armature winding are connected in series.

How to Calculate Armature Current of Series DC Generator given Torque?

Armature Current of Series DC Generator given Torque calculator uses Armature Current = (Torque*Angular Speed)/Armature Voltage to calculate the Armature Current, The Armature Current of Series DC Generator given Torque formula is defined as the current that flows in the armature winding of the series DC generator. Armature Current is denoted by Ia symbol.

How to calculate Armature Current of Series DC Generator given Torque using this online calculator? To use this online calculator for Armature Current of Series DC Generator given Torque, enter Torque (τ), Angular Speed s) & Armature Voltage (Va) and hit the calculate button. Here is how the Armature Current of Series DC Generator given Torque calculation can be explained with given input values -> 0.656545 = (1.57*115)/275.

FAQ

What is Armature Current of Series DC Generator given Torque?
The Armature Current of Series DC Generator given Torque formula is defined as the current that flows in the armature winding of the series DC generator and is represented as Ia = (τ*ωs)/Va or Armature Current = (Torque*Angular Speed)/Armature Voltage. Torque is the measure of the turning force produced by the armature. It is produced by the interaction between the magnetic field of the stator and the current flowing through armature, Angular speed is the rate of rotation about an axis, measuring how the angle changes with time. It is measured in radian/sec & Armature Voltage is defined as voltage developed at the terminals of the armature winding of an AC or DC machine during the generation of power.
How to calculate Armature Current of Series DC Generator given Torque?
The Armature Current of Series DC Generator given Torque formula is defined as the current that flows in the armature winding of the series DC generator is calculated using Armature Current = (Torque*Angular Speed)/Armature Voltage. To calculate Armature Current of Series DC Generator given Torque, you need Torque (τ), Angular Speed s) & Armature Voltage (Va). With our tool, you need to enter the respective value for Torque, Angular Speed & Armature Voltage 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, Angular Speed & Armature Voltage. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Armature Current = sqrt((Converted Power-Output Power)/Armature Resistance)
  • Armature Current = (Armature Voltage-Terminal Voltage)/(Series Field Resistance+Armature Resistance)
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