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Armature Resistance of Series DC Motor given Voltage Formula

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The Armature Resistance is the ohmic resistance of the copper winding wires plus the brush resistance in an electrical dc motor. Check FAQs

R a = (\frac{V s - V a}{I a}) - R sf

R_a - Armature Resistance?V_s - Supply Voltage?V_a - Armature Voltage?I_a - Armature Current?R_sf - Series Field Resistance?

Armature Resistance of Series DC Motor given Voltage Example

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Here is how the Armature Resistance of Series DC Motor given Voltage equation looks like with Values.

Here is how the Armature Resistance of Series DC Motor given Voltage equation looks like with Units.

Here is how the Armature Resistance of Series DC Motor given Voltage equation looks like.

81.2929 = (\frac{240 - 180}{0.724}) - 1.58

81.2929Ω = (\frac{240V - 180V}{0.724A}) - 1.58Ω

81.2929 = (\frac{240 - 180}{0.724}) - 1.58

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Armature Resistance of Series DC Motor given Voltage Solution

Follow our step by step solution on how to calculate Armature Resistance of Series DC Motor given Voltage?

FIRST Step Consider the formula

R a = (\frac{V s - V a}{I a}) - R sf

Next Step Substitute values of Variables

∴

R a = (\frac{240V - 180V}{0.724A}) - 1.58Ω

Next Step Prepare to Evaluate

∴

R a = (\frac{240 - 180}{0.724}) - 1.58

Next Step Evaluate

∴

R a = 81.2929281767956Ω

LAST Step Rounding Answer

∴

R a = 81.2929Ω

Armature Resistance of Series DC Motor given Voltage Formula Elements

Variables

Armature Resistance

The Armature Resistance is the ohmic resistance of the copper winding wires plus the brush resistance in an electrical dc motor.

Symbol: R_a

Measurement: Electric ResistanceUnit: Ω

Note: Value should be greater than 0.

Formulas to find Armature Resistance

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: V_s

Measurement: Electric PotentialUnit: V

Note: Value should be greater than 0.

Formulas to find Supply Voltage

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: V_a

Measurement: Electric PotentialUnit: V

Note: Value can be positive or negative.

Formulas to find Armature Voltage

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: I_a

Measurement: Electric CurrentUnit: A

Note: Value can be positive or negative.

Formulas to find Armature Current

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: R_sf

Measurement: Electric ResistanceUnit: Ω

Note: Value should be greater than 0.

Formulas to find Series Field Resistance

Other formulas in Resistance category

Go Series Field Resistance of Series DC Motor given Voltage

R sf = (\frac{V s - V a}{I a}) - R a

Go Series Field Resistance of Series DC Motor given Speed

R sh = (\frac{V s - N \cdot K f \cdot Φ}{I a}) - R a

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

Armature Resistance of Series DC Motor given Voltage evaluator uses Armature Resistance = ((Supply Voltage-Armature Voltage)/Armature Current)-Series Field Resistance to evaluate 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 evaluate Armature Resistance of Series DC Motor given Voltage using this online evaluator? To use this online evaluator 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.

FAQs on Armature Resistance of Series DC Motor given Voltage

What is the formula to find Armature Resistance of Series DC Motor given Voltage?

The formula of Armature Resistance of Series DC Motor given Voltage is expressed as Armature Resistance = ((Supply Voltage-Armature Voltage)/Armature Current)-Series Field Resistance. Here is an example- 81.29293 = ((240-180)/0.724)-1.58.

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

With Supply Voltage (V_s), Armature Voltage (V_a), Armature Current (I_a) & Series Field Resistance (R_sf) we can find Armature Resistance of Series DC Motor given Voltage using the formula - Armature Resistance = ((Supply Voltage-Armature Voltage)/Armature Current)-Series Field Resistance.

Can the Armature Resistance of Series DC Motor given Voltage be negative?

No, the Armature Resistance of Series DC Motor given Voltage, measured in Electric Resistance cannot be negative.

Which unit is used to measure Armature Resistance of Series DC Motor given Voltage?

Armature Resistance of Series DC Motor given Voltage is usually measured using the Ohm[Ω] for Electric Resistance. Megohm[Ω], Microhm[Ω], Volt per Ampere[Ω] are the few other units in which Armature Resistance of Series DC Motor given Voltage can be measured.

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Armature Resistance of Series DC Motor given Voltage Formula

Armature Resistance of Series DC Motor given Voltage Example

Armature Resistance of Series DC Motor given Voltage Solution

Armature Resistance of Series DC Motor given Voltage Formula Elements

Other formulas in Resistance category

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

FAQs on Armature Resistance of Series DC Motor given Voltage

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