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Supply Voltage given Electrical Efficiency of DC Motor Formula

GoSupply Voltage given Overall Efficiency of DC Motor Formula

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

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

V_s - Supply Voltage?ω_s - Angular Speed?τ_a - Armature Torque?I_a - Armature Current?η_e - Electrical Efficiency?

Supply Voltage given Electrical Efficiency of DC Motor Example

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Here is how the Supply Voltage given Electrical Efficiency of DC Motor equation looks like with Values.

Here is how the Supply Voltage given Electrical Efficiency of DC Motor equation looks like with Units.

Here is how the Supply Voltage given Electrical Efficiency of DC Motor equation looks like.

239.9963 = \frac{52.178 \cdot 0.424}{0.724 \cdot 0.8}

239.9963V = \frac{52.178rev/s \cdot 0.424N*m}{0.724A \cdot 0.8}

239.9963 = \frac{52.178 \cdot 0.424}{0.724 \cdot 0.8}

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Supply Voltage given Electrical Efficiency of DC Motor Solution

Follow our step by step solution on how to calculate Supply Voltage given Electrical Efficiency of DC Motor?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

V s = \frac{52.178rev/s \cdot 0.424N*m}{0.724A \cdot 0.8}

Next Step Convert Units

∴

V s = \frac{327.844rad/s \cdot 0.424N*m}{0.724A \cdot 0.8}

Next Step Prepare to Evaluate

∴

V s = \frac{327.844 \cdot 0.424}{0.724 \cdot 0.8}

Next Step Evaluate

∴

V s = 239.996329777487V

LAST Step Rounding Answer

∴

V s = 239.9963V

Supply Voltage given Electrical Efficiency of DC Motor Formula Elements

Variables

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

Angular Speed

Angular speed refers to the rate at which an object rotates around an axis. In the context of a DC (direct current) motor, angular speed represents how fast the motor's rotor is spinning.

Symbol: ω_s

Measurement: Angular VelocityUnit: rev/s

Note: Value should be greater than 0.

Formulas to find Angular Speed

Armature Torque

Armature Torque is defined as the electric torque induced by the armature winding in a dc motor.

Symbol: τ_a

Measurement: TorqueUnit: N*m

Note: Value can be positive or negative.

Formulas to find Armature Torque

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

Electrical Efficiency

Electrical Efficiency is define as useful power output divided by the total electrical power consumed (a fractional expression) for a given dc machine.

Symbol: η_e

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Electrical Efficiency

Other Formulas to find Supply Voltage

Go Supply Voltage given Overall Efficiency of DC Motor

V s = \frac{{(I - I sh)}^{2} \cdot R a + L m + P core}{I \cdot (1 - η o)}

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 Armature Current given Electrical Efficiency of DC Motor

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

Go Armature Torque given Electrical Efficiency of DC Motor

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

How to Evaluate Supply Voltage given Electrical Efficiency of DC Motor?

Supply Voltage given Electrical Efficiency of DC Motor evaluator uses Supply Voltage = (Angular Speed*Armature Torque)/(Armature Current*Electrical Efficiency) to evaluate the Supply Voltage, The Supply Voltage given Electrical Efficiency of DC Motor formula is defined as the difference in electric potential between two points, which (in a static electric field) is defined as the work needed per unit of charge to move a test charge between the two points. Supply Voltage is denoted by V_s symbol.

How to evaluate Supply Voltage given Electrical Efficiency of DC Motor using this online evaluator? To use this online evaluator for Supply Voltage given Electrical Efficiency of DC Motor, enter Angular Speed (ω_s), Armature Torque (τ_a), Armature Current (I_a) & Electrical Efficiency (η_e) and hit the calculate button.

FAQs on Supply Voltage given Electrical Efficiency of DC Motor

What is the formula to find Supply Voltage given Electrical Efficiency of DC Motor?

The formula of Supply Voltage given Electrical Efficiency of DC Motor is expressed as Supply Voltage = (Angular Speed*Armature Torque)/(Armature Current*Electrical Efficiency). Here is an example- 239.9979 = (327.844042941322*0.424)/(0.724*0.8).

How to calculate Supply Voltage given Electrical Efficiency of DC Motor?

With Angular Speed (ω_s), Armature Torque (τ_a), Armature Current (I_a) & Electrical Efficiency (η_e) we can find Supply Voltage given Electrical Efficiency of DC Motor using the formula - Supply Voltage = (Angular Speed*Armature Torque)/(Armature Current*Electrical Efficiency).

What are the other ways to Calculate Supply Voltage?

Here are the different ways to Calculate Supply Voltage-

Supply Voltage=((Electric Current-Shunt Field Current)^2*Armature Resistance+Mechanical Losses+Core Losses)/(Electric Current*(1-Overall Efficiency))

Can the Supply Voltage given Electrical Efficiency of DC Motor be negative?

No, the Supply Voltage given Electrical Efficiency of DC Motor, measured in Electric Potential cannot be negative.

Which unit is used to measure Supply Voltage given Electrical Efficiency of DC Motor?

Supply Voltage given Electrical Efficiency of DC Motor is usually measured using the Volt[V] for Electric Potential. Millivolt[V], Microvolt[V], Nanovolt[V] are the few other units in which Supply Voltage given Electrical Efficiency of DC Motor can be measured.

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Supply Voltage given Electrical Efficiency of DC Motor Formula

​GoSupply Voltage given Overall Efficiency of DC Motor Formula

Supply Voltage given Electrical Efficiency of DC Motor Example

Supply Voltage given Electrical Efficiency of DC Motor Solution

Supply Voltage given Electrical Efficiency of DC Motor Formula Elements

Other Formulas to find Supply Voltage

Other formulas in DC Motor Characteristics category

How to Evaluate Supply Voltage given Electrical Efficiency of DC Motor?

FAQs on Supply Voltage given Electrical Efficiency of DC Motor

Variable Name

GoSupply Voltage given Overall Efficiency of DC Motor Formula