Armature Current of Shunt DC Motor given Voltage Solution

STEP 0: Pre-Calculation Summary
Formula Used
Armature Current = (Supply Voltage-Back EMF)/Armature Resistance
Ia = (Vsp-Eb)/Ra
This formula uses 4 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.
Supply Voltage - (Measured in Volt) - Supply Voltage is the input voltage being fed to the dc motor circuit. Supply voltage refers to the electrical voltage provided to an electrical device or system, such as an electric motor.
Back EMF - (Measured in Volt) - The Back emf opposes the current which causes it in any dc machine. Back emf refers to the voltage that is generated in an inductor or a coil of wire when the current flowing through it changes.
Armature Resistance - (Measured in Ohm) - The Armature Resistance is the ohmic resistance of the copper winding wires plus the brush resistance in an electrical dc motor.
STEP 1: Convert Input(s) to Base Unit
Supply Voltage: 239 Volt --> 239 Volt No Conversion Required
Back EMF: 231 Volt --> 231 Volt No Conversion Required
Armature Resistance: 2.16 Ohm --> 2.16 Ohm No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Ia = (Vsp-Eb)/Ra --> (239-231)/2.16
Evaluating ... ...
Ia = 3.7037037037037
STEP 3: Convert Result to Output's Unit
3.7037037037037 Ampere --> No Conversion Required
FINAL ANSWER
3.7037037037037 3.703704 Ampere <-- Armature Current
(Calculation completed in 00.020 seconds)

Credits

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Vishwakarma Government Engineering College (VGEC), Ahmedabad
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4 Current Calculators

Armature Current of Shunt DC Motor given Torque
Go Armature Current = Torque/(Constant of Machine Construction*Magnetic Flux)
Armature Current of Shunt DC Motor given Voltage
Go Armature Current = (Supply Voltage-Back EMF)/Armature Resistance
Field Current of DC Shunt Motor
Go Field Current = Supply Voltage/Shunt Field Resistance
Armature Current of Shunt DC Motor given Input Power
Go Armature Current = Input Power/Supply Voltage

Armature Current of Shunt DC Motor given Voltage Formula

Armature Current = (Supply Voltage-Back EMF)/Armature Resistance
Ia = (Vsp-Eb)/Ra

How does a DC shunt motor start?

If armature and field of d.c. shunt motor is energized together, a large current is drawn at the start but the torque builds up gradually as the field flux increases gradually

How to Calculate Armature Current of Shunt DC Motor given Voltage?

Armature Current of Shunt DC Motor given Voltage calculator uses Armature Current = (Supply Voltage-Back EMF)/Armature Resistance to calculate the Armature Current, The Armature Current of Shunt DC Motor given Voltage formula is defined as the current that flows into the armature winding of the shunt DC motor. Armature Current is denoted by Ia symbol.

How to calculate Armature Current of Shunt DC Motor given Voltage using this online calculator? To use this online calculator for Armature Current of Shunt DC Motor given Voltage, enter Supply Voltage (Vsp), Back EMF (Eb) & Armature Resistance (Ra) and hit the calculate button. Here is how the Armature Current of Shunt DC Motor given Voltage calculation can be explained with given input values -> 3.240741 = (239-231)/2.16.

FAQ

What is Armature Current of Shunt DC Motor given Voltage?
The Armature Current of Shunt DC Motor given Voltage formula is defined as the current that flows into the armature winding of the shunt DC motor and is represented as Ia = (Vsp-Eb)/Ra or Armature Current = (Supply Voltage-Back EMF)/Armature Resistance. Supply Voltage is the input voltage being fed to the dc motor circuit. Supply voltage refers to the electrical voltage provided to an electrical device or system, such as an electric motor, The Back emf opposes the current which causes it in any dc machine. Back emf refers to the voltage that is generated in an inductor or a coil of wire when the current flowing through it changes & The Armature Resistance is the ohmic resistance of the copper winding wires plus the brush resistance in an electrical dc motor.
How to calculate Armature Current of Shunt DC Motor given Voltage?
The Armature Current of Shunt DC Motor given Voltage formula is defined as the current that flows into the armature winding of the shunt DC motor is calculated using Armature Current = (Supply Voltage-Back EMF)/Armature Resistance. To calculate Armature Current of Shunt DC Motor given Voltage, you need Supply Voltage (Vsp), Back EMF (Eb) & Armature Resistance (Ra). With our tool, you need to enter the respective value for Supply Voltage, Back EMF & Armature Resistance 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 Supply Voltage, Back EMF & Armature Resistance. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Armature Current = Torque/(Constant of Machine Construction*Magnetic Flux)
  • Armature Current = Input Power/Supply Voltage
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