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Magnetic Flux of DC Motor Formula

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

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

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

Magnetic Flux of DC Motor Example

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Here is how the Magnetic Flux of DC Motor equation looks like with Values.

Here is how the Magnetic Flux of DC Motor equation looks like with Units.

Here is how the Magnetic Flux of DC Motor equation looks like.

1.1875 = \frac{240 - 0.724 \cdot 80}{1.135 \cdot 1290}

1.1875Wb = \frac{240V - 0.724A \cdot 80Ω}{1.135 \cdot 1290rev/min}

1.1875 = \frac{240 - 0.724 \cdot 80}{1.135 \cdot 1290}

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Magnetic Flux of DC Motor Solution

Follow our step by step solution on how to calculate Magnetic Flux of DC Motor?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

Φ = \frac{240V - 0.724A \cdot 80Ω}{1.135 \cdot 1290rev/min}

Next Step Convert Units

∴

Φ = \frac{240V - 0.724A \cdot 80Ω}{1.135 \cdot 135.0885rad/s}

Next Step Prepare to Evaluate

∴

Φ = \frac{240 - 0.724 \cdot 80}{1.135 \cdot 135.0885}

Next Step Evaluate

∴

Φ = 1.18753947503936Wb

LAST Step Rounding Answer

∴

Φ = 1.1875Wb

Magnetic Flux of DC Motor Formula Elements

Variables

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

Supply Voltage

Supply Voltage is the input voltage being fed to the dc motor circuit.

Symbol: V_s

Measurement: Electric PotentialUnit: V

Note: Value should be greater than 0.

Formulas to find Supply Voltage

Armature Current

Armature Current DC motor is defined as the armature current developed in an electrical dc motor due to the rotation of rotor.

Symbol: I_a

Measurement: Electric CurrentUnit: A

Note: Value can be positive or negative.

Formulas to find Armature Current

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

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 is the speed of the rotor(motor).

Symbol: N

Measurement: Angular VelocityUnit: rev/min

Note: Value can be positive or negative.

Formulas to find Motor Speed

Other formulas in DC Motor Characteristics category

Go Machine Construction Constant of DC Motor

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

Go Back EMF Equation of DC Motor

E b = \frac{n \cdot Φ \cdot Z \cdot N}{60 \cdot n ||}

Go Supply Voltage given Electrical Efficiency of DC Motor

V s = \frac{ω s \cdot τ a}{I a \cdot η e}

Go Armature Current given Electrical Efficiency of DC Motor

I a = \frac{ω s \cdot τ a}{V s \cdot η e}

How to Evaluate Magnetic Flux of DC Motor?

Magnetic Flux of DC Motor evaluator uses Magnetic Flux = (Supply Voltage-Armature Current*Armature Resistance)/(Constant of Machine Construction*Motor Speed) to evaluate the Magnetic Flux, Magnetic Flux of DC Motor is defined as the number of magnetic field lines (also called "magnetic flux density") passing through a surface (such as a loop of wire). Magnetic Flux is denoted by Φ symbol.

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

FAQs on Magnetic Flux of DC Motor

What is the formula to find Magnetic Flux of DC Motor?

The formula of Magnetic Flux of DC Motor is expressed as Magnetic Flux = (Supply Voltage-Armature Current*Armature Resistance)/(Constant of Machine Construction*Motor Speed). Here is an example- 1.187539 = (240-0.724*80)/(1.135*135.088484097482).

How to calculate Magnetic Flux of DC Motor?

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

Can the Magnetic Flux of DC Motor be negative?

No, the Magnetic Flux of DC Motor, measured in Magnetic Flux cannot be negative.

Which unit is used to measure Magnetic Flux of DC Motor?

Magnetic Flux of DC Motor is usually measured using the Weber[Wb] for Magnetic Flux. Milliweber[Wb], Microweber[Wb], Volt Second[Wb] are the few other units in which Magnetic Flux of DC Motor can be measured.

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Magnetic Flux of DC Motor Formula

Magnetic Flux of DC Motor Example

Magnetic Flux of DC Motor Solution

Magnetic Flux of DC Motor Formula Elements

Other formulas in DC Motor Characteristics category

How to Evaluate Magnetic Flux of DC Motor?

FAQs on Magnetic Flux of DC Motor

Variable Name