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Supply Voltage given Overall Efficiency of DC Motor Formula

GoSupply Voltage given Electrical 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{{(I - I sh)}^{2} \cdot R a + L m + P core}{I \cdot (1 - η o)}

V_s - Supply Voltage?I - Electric Current?I_sh - Shunt Field Current?R_a - Armature Resistance?L_m - Mechanical Losses?P_core - Core Losses?η_o - Overall Efficiency?

Supply Voltage given Overall Efficiency of DC Motor Example

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

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

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

240.5996 = \frac{{(0.658 - 1.58)}^{2} \cdot 80 + 9.1 + 6.8}{0.658 \cdot (1 - 0.47)}

240.5996V = \frac{{(0.658A - 1.58A)}^{2} \cdot 80Ω + 9.1W + 6.8W}{0.658A \cdot (1 - 0.47)}

240.5996 = \frac{{(0.658 - 1.58)}^{2} \cdot 80 + 9.1 + 6.8}{0.658 \cdot (1 - 0.47)}

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Supply Voltage given Overall Efficiency of DC Motor Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

V s = \frac{{(0.658A - 1.58A)}^{2} \cdot 80Ω + 9.1W + 6.8W}{0.658A \cdot (1 - 0.47)}

Next Step Prepare to Evaluate

∴

V s = \frac{{(0.658 - 1.58)}^{2} \cdot 80 + 9.1 + 6.8}{0.658 \cdot (1 - 0.47)}

Next Step Evaluate

∴

V s = 240.599644434249V

LAST Step Rounding Answer

∴

V s = 240.5996V

Supply Voltage given Overall 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

Electric Current

Electric Current is the time rate of flow of charge through a cross sectional area.

Symbol: I

Measurement: Electric CurrentUnit: A

Note: Value can be positive or negative.

Formulas to find Electric Current

Shunt Field Current

The shunt field current is the current which flows through the shunt field windings in a given dc motor circuit.

Symbol: I_sh

Measurement: Electric CurrentUnit: A

Note: Value should be greater than 0.

Formulas to find Shunt Field 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

Mechanical Losses

Mechanical Losses are the losses associated with the mechanical friction of the machine.

Symbol: L_m

Measurement: PowerUnit: W

Note: Value can be positive or negative.

Formulas to find Mechanical Losses

Core Losses

Core losses are defined as the sum of hysteresis and eddy current losses that occur in the armature iron current due to a small induced current.

Symbol: P_core

Measurement: PowerUnit: W

Note: Value can be positive or negative.

Formulas to find Core Losses

Overall Efficiency

Overall Efficiency Electrical is defined as the combined efficiency of all the systems inside and electrical machine.

Symbol: η_o

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Overall Efficiency

Other Formulas to find Supply Voltage

Go Supply Voltage given Electrical Efficiency of DC Motor

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

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 ||}

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

Supply Voltage given Overall Efficiency of DC Motor evaluator uses Supply Voltage = ((Electric Current-Shunt Field Current)^2*Armature Resistance+Mechanical Losses+Core Losses)/(Electric Current*(1-Overall Efficiency)) to evaluate the Supply Voltage, The Supply Voltage given Overall 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 Overall Efficiency of DC Motor using this online evaluator? To use this online evaluator for Supply Voltage given Overall Efficiency of DC Motor, enter Electric Current (I), Shunt Field Current (I_sh), Armature Resistance (R_a), Mechanical Losses (L_m), Core Losses (P_core) & Overall Efficiency (η_o) and hit the calculate button.

FAQs on Supply Voltage given Overall Efficiency of DC Motor

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

The formula of Supply Voltage given Overall Efficiency of DC Motor is expressed as Supply Voltage = ((Electric Current-Shunt Field Current)^2*Armature Resistance+Mechanical Losses+Core Losses)/(Electric Current*(1-Overall Efficiency)). Here is an example- 220.3057 = ((0.658-1.58)^2*80+9.1+6.8)/(0.658*(1-0.47)).

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

With Electric Current (I), Shunt Field Current (I_sh), Armature Resistance (R_a), Mechanical Losses (L_m), Core Losses (P_core) & Overall Efficiency (η_o) we can find Supply Voltage given Overall Efficiency of DC Motor using the formula - Supply Voltage = ((Electric Current-Shunt Field Current)^2*Armature Resistance+Mechanical Losses+Core Losses)/(Electric Current*(1-Overall Efficiency)).

What are the other ways to Calculate Supply Voltage?

Here are the different ways to Calculate Supply Voltage-

Supply Voltage=(Angular Speed*Armature Torque)/(Armature Current*Electrical Efficiency)

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

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

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

Supply Voltage given Overall 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 Overall Efficiency of DC Motor can be measured.

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Supply Voltage given Overall Efficiency of DC Motor Formula

​GoSupply Voltage given Electrical Efficiency of DC Motor Formula

Supply Voltage given Overall Efficiency of DC Motor Example

Supply Voltage given Overall Efficiency of DC Motor Solution

Supply Voltage given Overall 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 Overall Efficiency of DC Motor?

FAQs on Supply Voltage given Overall Efficiency of DC Motor

Variable Name

GoSupply Voltage given Electrical Efficiency of DC Motor Formula