Supply Voltage given Overall Efficiency of DC Motor Solution

STEP 0: Pre-Calculation Summary
Formula Used
Supply Voltage = ((Electric Current-Shunt Field Current)^2*Armature Resistance+Mechanical Losses+Core Losses)/(Electric Current*(1-Overall Efficiency))
Vs = ((I-Ish)^2*Ra+Lm+Pcore)/(I*(1-ηo))
This formula uses 7 Variables
Variables Used
Supply Voltage - (Measured in Volt) - Supply Voltage is the input voltage being fed to the dc motor circuit.
Electric Current - (Measured in Ampere) - Electric Current is the time rate of flow of charge through a cross sectional area.
Shunt Field Current - (Measured in Ampere) - The shunt field current is the current which flows through the shunt field windings in a given dc motor circuit.
Armature Resistance - (Measured in Ohm) - The Armature Resistance is the ohmic resistance of the copper winding wires plus the brush resistance in an electrical dc motor.
Mechanical Losses - (Measured in Watt) - Mechanical Losses are the losses associated with the mechanical friction of the machine.
Core Losses - (Measured in Watt) - 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.
Overall Efficiency - Overall Efficiency Electrical is defined as the combined efficiency of all the systems inside and electrical machine.
STEP 1: Convert Input(s) to Base Unit
Electric Current: 0.658 Ampere --> 0.658 Ampere No Conversion Required
Shunt Field Current: 1.58 Ampere --> 1.58 Ampere No Conversion Required
Armature Resistance: 80 Ohm --> 80 Ohm No Conversion Required
Mechanical Losses: 9.1 Watt --> 9.1 Watt No Conversion Required
Core Losses: 6.8 Watt --> 6.8 Watt No Conversion Required
Overall Efficiency: 0.47 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Vs = ((I-Ish)^2*Ra+Lm+Pcore)/(I*(1-ηo)) --> ((0.658-1.58)^2*80+9.1+6.8)/(0.658*(1-0.47))
Evaluating ... ...
Vs = 240.599644434249
STEP 3: Convert Result to Output's Unit
240.599644434249 Volt --> No Conversion Required
FINAL ANSWER
240.599644434249 240.5996 Volt <-- Supply Voltage
(Calculation completed in 00.004 seconds)

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25 DC Motor Characteristics Calculators

Supply Voltage given Overall Efficiency of DC Motor
Go Supply Voltage = ((Electric Current-Shunt Field Current)^2*Armature Resistance+Mechanical Losses+Core Losses)/(Electric Current*(1-Overall Efficiency))
Machine Construction Constant of DC Motor
Go Constant of Machine Construction = (Supply Voltage-Armature Current*Armature Resistance)/(Magnetic Flux*Motor Speed)
Motor Speed of DC Motor given Flux
Go Motor Speed = (Supply Voltage-Armature Current*Armature Resistance)/(Constant of Machine Construction*Magnetic Flux)
Magnetic Flux of DC Motor
Go Magnetic Flux = (Supply Voltage-Armature Current*Armature Resistance)/(Constant of Machine Construction*Motor Speed)
Back EMF Equation of DC Motor
Go Back EMF = (Number of Poles*Magnetic Flux*Number of Conductors*Motor Speed)/(60*Number of Parallel Paths)
Motor Speed of DC Motor
Go Motor Speed = (60*Number of Parallel Paths*Back EMF)/(Number of Conductors*Number of Poles*Magnetic Flux)
Overall Efficiency of DC Motor given Input Power
Go Overall Efficiency = (Input Power-(Armature Copper Loss+Field Copper Losses+Power Loss))/Input Power
Armature Current of DC Motor
Go Armature Current = Armature Voltage/(Constant of Machine Construction*Magnetic Flux*Angular Speed)
Armature Current given Electrical Efficiency of DC Motor
Go Armature Current = (Angular Speed*Armature Torque)/(Supply Voltage*Electrical Efficiency)
Supply Voltage given Electrical Efficiency of DC Motor
Go Supply Voltage = (Angular Speed*Armature Torque)/(Armature Current*Electrical Efficiency)
Electrical Efficiency of DC Motor
Go Electrical Efficiency = (Armature Torque*Angular Speed)/(Supply Voltage*Armature Current)
Armature Torque given Electrical Efficiency of DC Motor
Go Armature Torque = (Armature Current*Supply Voltage*Electrical Efficiency)/Angular Speed
Angular Speed given Electrical Efficiency of DC Motor
Go Angular Speed = (Electrical Efficiency*Supply Voltage*Armature Current)/Armature Torque
Mechanical Power Developed in DC Motor given Input Power
Go Mechanical Power = Input Power-(Armature Current^2*Armature Resistance)
Total Power Loss given Overall Efficiency of DC Motor
Go Power Loss = Input Power-Overall Efficiency*Input Power
Armature Torque given Mechanical Efficiency of DC Motor
Go Armature Torque = Mechanical Efficiency*Motor Torque
Motor Torque given Mechanical Efficiency of DC Motor
Go Motor Torque = Armature Torque/Mechanical Efficiency
Mechanical Efficiency of DC Motor
Go Mechanical Efficiency = Armature Torque/Motor Torque
Converted Power given Electrical Efficiency of DC Motor
Go Converted Power = Electrical Efficiency*Input Power
Input Power given Electrical Efficiency of DC Motor
Go Input Power = Converted Power/Electrical Efficiency
Overall Efficiency of DC Motor
Go Overall Efficiency = Mechanical Power/Input Power
Output Power given Overall Efficiency of DC Motor
Go Output Power = Input Power*Overall Efficiency
Core Loss given Mechanical Loss of DC Motor
Go Core Losses = Constant Loss-Mechanical Losses
Constant Losses given Mechanical Loss
Go Constant Loss = Core Losses+Mechanical Losses
DC Motor Frequency given Speed
Go Frequency = (Number of Poles*Motor Speed)/120

Supply Voltage given Overall Efficiency of DC Motor Formula

Supply Voltage = ((Electric Current-Shunt Field Current)^2*Armature Resistance+Mechanical Losses+Core Losses)/(Electric Current*(1-Overall Efficiency))
Vs = ((I-Ish)^2*Ra+Lm+Pcore)/(I*(1-ηo))

What is electrical and overall efficiency?

It is the ratio of the mechanical output to the electrical input. Overall efficiency looks at entire systems from the initial input to the final output.
Electrical energy efficiency is understood as the reduction in power and energy demands from the electrical system without affecting the normal activities carried out in buildings, industrial plants or any other transformation process.

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

Supply Voltage given Overall Efficiency of DC Motor calculator uses Supply Voltage = ((Electric Current-Shunt Field Current)^2*Armature Resistance+Mechanical Losses+Core Losses)/(Electric Current*(1-Overall Efficiency)) to calculate 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 Vs symbol.

How to calculate Supply Voltage given Overall Efficiency of DC Motor using this online calculator? To use this online calculator for Supply Voltage given Overall Efficiency of DC Motor, enter Electric Current (I), Shunt Field Current (Ish), Armature Resistance (Ra), Mechanical Losses (Lm), Core Losses (Pcore) & Overall Efficiency o) and hit the calculate button. Here is how the Supply Voltage given Overall Efficiency of DC Motor calculation can be explained with given input values -> 220.3057 = ((0.658-1.58)^2*80+9.1+6.8)/(0.658*(1-0.47)).

FAQ

What is Supply Voltage given Overall Efficiency of DC Motor?
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 and is represented as Vs = ((I-Ish)^2*Ra+Lm+Pcore)/(I*(1-ηo)) or Supply Voltage = ((Electric Current-Shunt Field Current)^2*Armature Resistance+Mechanical Losses+Core Losses)/(Electric Current*(1-Overall Efficiency)). Electric Current is the time rate of flow of charge through a cross sectional area, The shunt field current is the current which flows through the shunt field windings in a given dc motor circuit, The Armature Resistance is the ohmic resistance of the copper winding wires plus the brush resistance in an electrical dc motor, Mechanical Losses are the losses associated with the mechanical friction of the machine, 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 & Overall Efficiency Electrical is defined as the combined efficiency of all the systems inside and electrical machine.
How to calculate Supply Voltage given Overall Efficiency of DC Motor?
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 is calculated using Supply Voltage = ((Electric Current-Shunt Field Current)^2*Armature Resistance+Mechanical Losses+Core Losses)/(Electric Current*(1-Overall Efficiency)). To calculate Supply Voltage given Overall Efficiency of DC Motor, you need Electric Current (I), Shunt Field Current (Ish), Armature Resistance (Ra), Mechanical Losses (Lm), Core Losses (Pcore) & Overall Efficiency o). With our tool, you need to enter the respective value for Electric Current, Shunt Field Current, Armature Resistance, Mechanical Losses, Core Losses & Overall Efficiency and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Supply Voltage?
In this formula, Supply Voltage uses Electric Current, Shunt Field Current, Armature Resistance, Mechanical Losses, Core Losses & Overall Efficiency. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Supply Voltage = (Angular Speed*Armature Torque)/(Armature Current*Electrical Efficiency)
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