Supply Voltage given Overall Efficiency of DC Motor Calculator

✖Electric Current is the time rate of flow of charge through a cross sectional area.ⓘ Electric Current [I]			+10% -10%
✖The shunt field current is the current which flows through the shunt field windings in a given dc motor circuit.ⓘ Shunt Field Current [I_sh]			+10% -10%
✖The Armature Resistance is the ohmic resistance of the copper winding wires plus the brush resistance in an electrical dc motor.ⓘ Armature Resistance [R_a]			+10% -10%
✖Mechanical Losses are the losses associated with the mechanical friction of the machine.ⓘ Mechanical Losses [L_m]			+10% -10%
✖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.ⓘ Core Losses [P_core]			+10% -10%
✖Overall Efficiency Electrical is defined as the combined efficiency of all the systems inside and electrical machine.ⓘ Overall Efficiency [η_o]			+10% -10%

✖Supply Voltage is the input voltage being fed to the dc motor circuit.ⓘ Supply Voltage given Overall Efficiency of DC Motor [V_s]

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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))
V_s = ((I-I_sh)^2*R_a+L_m+P_core)/(I*(1-η_o))
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

V_s = ((I-I_sh)^2*R_a+L_m+P_core)/(I*(1-η_o)) --> ((0.658-1.58)^2*80+9.1+6.8)/(0.658*(1-0.47))

Evaluating ... ...

V_s = 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 00.020 seconds)

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Home » Engineering » Electrical » Machine » DC Machines » DC Motor » DC Motor Characteristics » Supply Voltage given Overall Efficiency of DC Motor

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< DC Motor Characteristics Calculators

Machine Construction Constant of DC Motor

LaTeX Go Constant of Machine Construction = (Supply Voltage-Armature Current*Armature Resistance)/(Magnetic Flux*Motor Speed)

Back EMF Equation of DC Motor

LaTeX Go Back EMF = (Number of Poles*Magnetic Flux*Number of Conductors*Motor Speed)/(60*Number of Parallel Paths)

Armature Current given Electrical Efficiency of DC Motor

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

Supply Voltage given Electrical Efficiency of DC Motor

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

Supply Voltage given Overall Efficiency of DC Motor Formula

LaTeX Go

Supply Voltage = ((Electric Current-Shunt Field Current)^2*Armature Resistance+Mechanical Losses+Core Losses)/(Electric Current*(1-Overall Efficiency))
V_s = ((I-I_sh)^2*R_a+L_m+P_core)/(I*(1-η_o))

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 V_s 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 (I_sh), Armature Resistance (R_a), Mechanical Losses (L_m), Core Losses (P_core) & Overall Efficiency (η_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 V_s = ((I-I_sh)^2*R_a+L_m+P_core)/(I*(1-η_o)) 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 (I_sh), Armature Resistance (R_a), Mechanical Losses (L_m), Core Losses (P_core) & Overall Efficiency (η_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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