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Armature Current of Series DC Motor given Speed Formula

GoArmature Current of Series DC Motor using Voltage Formula

GoArmature Current of Series DC Motor given Input Power Formula

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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. Check FAQs

I a = \frac{V s - Φ \cdot K f \cdot N}{R a + R sf}

I_a - Armature Current?V_s - Supply Voltage?Φ - Magnetic Flux?K_f - Constant of Machine Construction?N - Motor Speed?R_a - Armature Resistance?R_sf - Series Field Resistance?

Armature Current of Series DC Motor given Speed Example

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

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

Here is how the Armature Current of Series DC Motor given Speed equation looks like.

0.711 = \frac{240 - 1.187 \cdot 1.135 \cdot 1290}{80 + 1.58}

0.711A = \frac{240V - 1.187Wb \cdot 1.135 \cdot 1290rev/min}{80Ω + 1.58Ω}

0.711 = \frac{240 - 1.187 \cdot 1.135 \cdot 1290}{80 + 1.58}

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Armature Current of Series DC Motor given Speed Solution

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

FIRST Step Consider the formula

I a = \frac{V s - Φ \cdot K f \cdot N}{R a + R sf}

Next Step Substitute values of Variables

∴

I a = \frac{240V - 1.187Wb \cdot 1.135 \cdot 1290rev/min}{80Ω + 1.58Ω}

Next Step Convert Units

∴

I a = \frac{240V - 1.187Wb \cdot 1.135 \cdot 135.0885rad/s}{80Ω + 1.58Ω}

Next Step Prepare to Evaluate

∴

I a = \frac{240 - 1.187 \cdot 1.135 \cdot 135.0885}{80 + 1.58}

Next Step Evaluate

∴

I a = 0.710991851459768A

LAST Step Rounding Answer

∴

I a = 0.711A

Armature Current of Series DC Motor given Speed Formula Elements

Variables

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

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

Magnetic Flux

Magnetic flux (Φ) is the number of magnetic field lines passing through the magnetic core of an electrical dc motor.

Symbol: Φ

Measurement: Magnetic FluxUnit: Wb

Note: Value should be greater than 0.

Formulas to find Magnetic Flux

Constant of Machine Construction

Constant of Machine construction is a constant term which is calculated separately to a make calculation less complex.

Symbol: K_f

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Constant of Machine Construction

Motor Speed

Motor speed refers to the rotational speed of a motor, indicating how fast the motor's shaft or rotor is rotating.

Symbol: N

Measurement: Angular VelocityUnit: rev/min

Note: Value can be positive or negative.

Formulas to find Motor Speed

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

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 to find Armature Current

Go Armature Current of Series DC Motor using Voltage

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

Go Armature Current of Series DC Motor given Input Power

I a = \frac{P in}{V s}

How to Evaluate Armature Current of Series DC Motor given Speed?

Armature Current of Series DC Motor given Speed evaluator uses Armature Current = (Supply Voltage-Magnetic Flux*Constant of Machine Construction*Motor Speed)/(Armature Resistance+Series Field Resistance) to evaluate the Armature Current, The Armature Current of Series DC Motor given Speed formula is defined as the current that flows into the armature winding of the DC series motor. Armature Current is denoted by I_a symbol.

How to evaluate Armature Current of Series DC Motor given Speed using this online evaluator? To use this online evaluator for Armature Current of Series DC Motor given Speed, enter Supply Voltage (V_s), Magnetic Flux (Φ), Constant of Machine Construction (K_f), Motor Speed (N), Armature Resistance (R_a) & Series Field Resistance (R_sf) and hit the calculate button.

FAQs on Armature Current of Series DC Motor given Speed

What is the formula to find Armature Current of Series DC Motor given Speed?

The formula of Armature Current of Series DC Motor given Speed is expressed as Armature Current = (Supply Voltage-Magnetic Flux*Constant of Machine Construction*Motor Speed)/(Armature Resistance+Series Field Resistance). Here is an example- 0.710992 = (240-1.187*1.135*135.088484097482)/(80+1.58).

How to calculate Armature Current of Series DC Motor given Speed?

With Supply Voltage (V_s), Magnetic Flux (Φ), Constant of Machine Construction (K_f), Motor Speed (N), Armature Resistance (R_a) & Series Field Resistance (R_sf) we can find Armature Current of Series DC Motor given Speed using the formula - Armature Current = (Supply Voltage-Magnetic Flux*Constant of Machine Construction*Motor Speed)/(Armature Resistance+Series Field Resistance).

What are the other ways to Calculate Armature Current?

Here are the different ways to Calculate Armature Current-

Armature Current=(Supply Voltage-Armature Voltage)/(Armature Resistance+Series Field Resistance)
Armature Current=Input Power/Supply Voltage
Armature Current=sqrt(Torque/(Constant of Machine Construction*Magnetic Flux))

Can the Armature Current of Series DC Motor given Speed be negative?

Yes, the Armature Current of Series DC Motor given Speed, measured in Electric Current can be negative.

Which unit is used to measure Armature Current of Series DC Motor given Speed?

Armature Current of Series DC Motor given Speed is usually measured using the Ampere[A] for Electric Current. Milliampere[A], Microampere[A], Centiampere[A] are the few other units in which Armature Current of Series DC Motor given Speed can be measured.

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Armature Current of Series DC Motor given Speed Formula

​GoArmature Current of Series DC Motor using Voltage Formula

​GoArmature Current of Series DC Motor given Input Power Formula

Armature Current of Series DC Motor given Speed Example

Armature Current of Series DC Motor given Speed Solution

Armature Current of Series DC Motor given Speed Formula Elements

Other Formulas to find Armature Current

How to Evaluate Armature Current of Series DC Motor given Speed?

FAQs on Armature Current of Series DC Motor given Speed

Variable Name

GoArmature Current of Series DC Motor using Voltage Formula

GoArmature Current of Series DC Motor given Input Power Formula