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Supply Voltage is the input voltage being fed to the dc motor circuit. It affects various motor parameters, such as speed, torque, and power consumption. Check FAQs
Vs=Va+Ia⋅(Ra+Rsf)
Vs - Supply Voltage?Va - Armature Voltage?Ia - Armature Current?Ra - Armature Resistance?Rsf - Series Field Resistance?

Voltage Equation of Series DC Motor Example

With values
With units
Only example

Here is how the Voltage Equation of Series DC Motor equation looks like with Values.

Here is how the Voltage Equation of Series DC Motor equation looks like with Units.

Here is how the Voltage Equation of Series DC Motor equation looks like.

239.0639Edit=180Edit+0.724Edit⋅(80Edit+1.58Edit)
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Voltage Equation of Series DC Motor Solution

Follow our step by step solution on how to calculate Voltage Equation of Series DC Motor?

FIRST Step Consider the formula
Vs=Va+Ia⋅(Ra+Rsf)
Next Step Substitute values of Variables
∴ Vs=180V+0.724A⋅(80Ω+1.58Ω)
Next Step Prepare to Evaluate
∴ Vs=180+0.724⋅(80+1.58)
Next Step Evaluate
∴Vs=239.06392V
LAST Step Rounding Answer
∴Vs=239.0639V

Voltage Equation of Series DC Motor Formula Elements

Variables
Supply Voltage
Supply Voltage is the input voltage being fed to the dc motor circuit. It affects various motor parameters, such as speed, torque, and power consumption.
Symbol: Vs
Measurement: Electric PotentialUnit: V
Note: Value should be greater than 0.
Formulas to find Supply VoltageOpen Variable
Armature Voltage
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.
Symbol: Va
Measurement: Electric PotentialUnit: V
Note: Value can be positive or negative.
Formulas to find Armature VoltageOpen Variable
Armature Current
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.
Symbol: Ia
Measurement: Electric CurrentUnit: A
Note: Value can be positive or negative.
Formulas to find Armature CurrentOpen Variable
Armature Resistance
The Armature Resistance is the ohmic resistance of the copper winding wires plus the brush resistance in an electrical dc motor.
Symbol: Ra
Measurement: Electric ResistanceUnit: Ω
Note: Value should be greater than 0.
Formulas to find Armature ResistanceOpen Variable
Series Field Resistance
The Series Field Resistance is resistance just like the field resistance but it is connected to a series with the armature of the dc generator.
Symbol: Rsf
Measurement: Electric ResistanceUnit: Ω
Note: Value should be greater than 0.
Formulas to find Series Field ResistanceOpen Variable

Other Formulas to find Supply Voltage

​Go Voltage of Series DC Motor given Input Power
Vs=PinIa

Other formulas in Voltage category

​Go Armature Induced Voltage of Series DC motor given Voltage
Va=Vs-Ia⋅(Ra+Rsf)
​Go Input Power of Series DC Motor
Pin=Vs⋅Ia

How to Evaluate Voltage Equation of Series DC Motor?

Voltage Equation of Series DC Motor evaluator uses Supply Voltage = Armature Voltage+Armature Current*(Armature Resistance+Series Field Resistance) to evaluate the Supply Voltage, The Voltage Equation of Series DC Motor formula is defined as the rate at which energy is drawn from a source that produces a flow of electricity in a series dc motor. Supply Voltage is denoted by Vs symbol.

How to evaluate Voltage Equation of Series DC Motor using this online evaluator? To use this online evaluator for Voltage Equation of Series DC Motor, enter Armature Voltage (Va), Armature Current (Ia), Armature Resistance (Ra) & Series Field Resistance (Rsf) and hit the calculate button.

FAQs on Voltage Equation of Series DC Motor

What is the formula to find Voltage Equation of Series DC Motor?
The formula of Voltage Equation of Series DC Motor is expressed as Supply Voltage = Armature Voltage+Armature Current*(Armature Resistance+Series Field Resistance). Here is an example- 239.7879 = 180+0.724*(80+1.58).
How to calculate Voltage Equation of Series DC Motor?
With Armature Voltage (Va), Armature Current (Ia), Armature Resistance (Ra) & Series Field Resistance (Rsf) we can find Voltage Equation of Series DC Motor using the formula - Supply Voltage = Armature Voltage+Armature Current*(Armature Resistance+Series Field Resistance).
What are the other ways to Calculate Supply Voltage?
Here are the different ways to Calculate Supply Voltage-
  • Supply Voltage=Input Power/Armature CurrentOpenImg
Can the Voltage Equation of Series DC Motor be negative?
No, the Voltage Equation of Series DC Motor, measured in Electric Potential cannot be negative.
Which unit is used to measure Voltage Equation of Series DC Motor?
Voltage Equation of Series DC Motor is usually measured using the Volt[V] for Electric Potential. Millivolt[V], Microvolt[V], Nanovolt[V] are the few other units in which Voltage Equation of Series DC Motor can be measured.
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