Armature Resistance of Series DC Motor given Voltage Calculator

✖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.ⓘ Supply Voltage [V_s]			+10% -10%
✖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 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%

✖The Armature Resistance is the ohmic resistance of the copper winding wires plus the brush resistance in an electrical dc motor.ⓘ Armature Resistance of Series DC Motor given Voltage [R_a]

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Formula

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Armature Resistance of Series DC Motor given Voltage

Formula

`"R"_{"a"} = (("V"_{"s"}-"V"_{"a"})/"I"_{"a"})-"R"_{"sf"}`

Example

`"81.29293Ω"=(("240V"-"180V")/"0.724A")-"1.58Ω"`

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Armature Resistance of Series DC Motor given Voltage Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
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.
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

Supply Voltage: 240 Volt --> 240 Volt No Conversion Required
Armature Voltage: 180 Volt --> 180 Volt No Conversion Required
Armature Current: 0.724 Ampere --> 0.724 Ampere No Conversion Required
Series Field Resistance: 1.58 Ohm --> 1.58 Ohm No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

R_a = ((V_s-V_a)/I_a)-R_sf --> ((240-180)/0.724)-1.58

Evaluating ... ...

R_a = 81.2929281767956

STEP 3: Convert Result to Output's Unit

81.2929281767956 Ohm --> No Conversion Required

FINAL ANSWER

81.2929281767956 ≈ 81.29293 Ohm <-- Armature Resistance

(Calculation completed in 00.004 seconds)

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< 3 Resistance Calculators

Series Field Resistance of Series DC Motor given Speed

Go Shunt Field Resistance = ((Supply Voltage-Motor Speed*Constant of Machine Construction*Magnetic Flux)/Armature Current)-Armature Resistance

Series Field Resistance of Series DC Motor given Voltage

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

Armature Resistance of Series DC Motor given Voltage

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

Armature Resistance of Series DC Motor given Voltage Formula

Armature Resistance = ((Supply Voltage-Armature Voltage)/Armature Current)-Series Field Resistance
R_a = ((V_s-V_a)/I_a)-R_sf

What is a series DC motor?

A series wound DC motor like in the case of shunt wound DC motor or compound wound DC motor falls under the category of self-excited DC motors, and it gets its name from the fact that the field winding, in this case, is connected internally in series to the armature winding.

How to Calculate Armature Resistance of Series DC Motor given Voltage?

Armature Resistance of Series DC Motor given Voltage calculator uses Armature Resistance = ((Supply Voltage-Armature Voltage)/Armature Current)-Series Field Resistance to calculate the Armature Resistance, The Armature Resistance of Series DC Motor given Voltage formula is defined as the resistance of the armature winding of the series dc motor. Armature Resistance is denoted by R_a symbol.

How to calculate Armature Resistance of Series DC Motor given Voltage using this online calculator? To use this online calculator for Armature Resistance of Series DC Motor given Voltage, enter Supply Voltage (V_s), Armature Voltage (V_a), Armature Current (I_a) & Series Field Resistance (R_sf) and hit the calculate button. Here is how the Armature Resistance of Series DC Motor given Voltage calculation can be explained with given input values -> 81.29293 = ((240-180)/0.724)-1.58.

FAQ

What is Armature Resistance of Series DC Motor given Voltage?

The Armature Resistance of Series DC Motor given Voltage formula is defined as the resistance of the armature winding of the series dc motor and is represented as R_a = ((V_s-V_a)/I_a)-R_sf or Armature Resistance = ((Supply Voltage-Armature Voltage)/Armature Current)-Series Field Resistance. 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, 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 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 Armature Resistance of Series DC Motor given Voltage?

The Armature Resistance of Series DC Motor given Voltage formula is defined as the resistance of the armature winding of the series dc motor is calculated using Armature Resistance = ((Supply Voltage-Armature Voltage)/Armature Current)-Series Field Resistance. To calculate Armature Resistance of Series DC Motor given Voltage, you need Supply Voltage (V_s), Armature Voltage (V_a), Armature Current (I_a) & Series Field Resistance (R_sf). With our tool, you need to enter the respective value for Supply Voltage, Armature Voltage, Armature Current & Series Field Resistance and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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