Voltage Equation of Series DC Motor Calculator

✖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.ⓘ Armature Voltage [V_a]			+10% -10%
✖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.ⓘ Armature Current [I_a]			+10% -10%
✖The Armature Resistance is the ohmic resistance of the copper winding wires plus the brush resistance in an electrical dc motor.ⓘ Armature Resistance [R_a]			+10% -10%
✖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.ⓘ Series Field Resistance [R_sf]			+10% -10%

✖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.ⓘ Voltage Equation of Series DC Motor [V_s]

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Formula

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Voltage Equation of Series DC Motor

Formula

`"V"_{"s"} = "V"_{"a"}+"I"_{"a"}*("R"_{"a"}+"R"_{"sf"})`

Example

`"239.0639V"="180V"+"0.724A"*("80Ω"+"1.58Ω")`

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Voltage Equation of Series DC Motor Solution

STEP 0: Pre-Calculation Summary

Formula Used

Supply Voltage = Armature Voltage+Armature Current*(Armature Resistance+Series Field Resistance)
V_s = V_a+I_a*(R_a+R_sf)
This formula uses 5 Variables

Variables Used

Supply Voltage - (Measured in Volt) - 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.
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.
Armature Current - (Measured in Ampere) - 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.
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.
Series Field Resistance - (Measured in Ohm) - 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.

STEP 1: Convert Input(s) to Base Unit

Armature Voltage: 180 Volt --> 180 Volt No Conversion Required
Armature Current: 0.724 Ampere --> 0.724 Ampere No Conversion Required
Armature Resistance: 80 Ohm --> 80 Ohm No Conversion Required
Series Field Resistance: 1.58 Ohm --> 1.58 Ohm No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V_s = V_a+I_a*(R_a+R_sf) --> 180+0.724*(80+1.58)

Evaluating ... ...

V_s = 239.06392

STEP 3: Convert Result to Output's Unit

239.06392 Volt --> No Conversion Required

FINAL ANSWER

239.06392 ≈ 239.0639 Volt <-- Supply Voltage

(Calculation completed in 00.004 seconds)

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< 4 Voltage Calculators

Armature Induced Voltage of Series DC motor given Voltage

Go Armature Voltage = Supply Voltage-Armature Current*(Armature Resistance+Series Field Resistance)

Voltage Equation of Series DC Motor

Go Supply Voltage = Armature Voltage+Armature Current*(Armature Resistance+Series Field Resistance)

Voltage of Series DC Motor given Input Power

Go Supply Voltage = Input Power/Armature Current

Input Power of Series DC Motor

Go Input Power = Supply Voltage*Armature Current

Voltage Equation of Series DC Motor Formula

Supply Voltage = Armature Voltage+Armature Current*(Armature Resistance+Series Field Resistance)
V_s = V_a+I_a*(R_a+R_sf)

What is the difference between field control and armature voltage control?

Armature control is a closed loop system, while field control is an open loop system. Closed loop systems are often the preferred choice for operators and business leaders who are looking for stability and the convenience of an automated process.

How to Calculate Voltage Equation of Series DC Motor?

Voltage Equation of Series DC Motor calculator uses Supply Voltage = Armature Voltage+Armature Current*(Armature Resistance+Series Field Resistance) to calculate 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 V_s symbol.

How to calculate Voltage Equation of Series DC Motor using this online calculator? To use this online calculator for Voltage Equation of Series DC Motor, enter Armature Voltage (V_a), Armature Current (I_a), Armature Resistance (R_a) & Series Field Resistance (R_sf) and hit the calculate button. Here is how the Voltage Equation of Series DC Motor calculation can be explained with given input values -> 239.7879 = 180+0.724*(80+1.58).

FAQ

What is Voltage Equation of Series DC Motor?

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 and is represented as V_s = V_a+I_a*(R_a+R_sf) or Supply Voltage = Armature Voltage+Armature Current*(Armature Resistance+Series Field Resistance). 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, 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, The Armature Resistance is the ohmic resistance of the copper winding wires plus the brush resistance in an electrical dc motor & 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.

How to calculate Voltage Equation of Series DC Motor?

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 is calculated using Supply Voltage = Armature Voltage+Armature Current*(Armature Resistance+Series Field Resistance). To calculate Voltage Equation of Series DC Motor, you need Armature Voltage (V_a), Armature Current (I_a), Armature Resistance (R_a) & Series Field Resistance (R_sf). With our tool, you need to enter the respective value for Armature Voltage, Armature Current, Armature Resistance & Series Field 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 Supply Voltage?

In this formula, Supply Voltage uses Armature Voltage, Armature Current, Armature Resistance & Series Field Resistance. We can use 1 other way(s) to calculate the same, which is/are as follows -

Supply Voltage = Input Power/Armature Current

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