Overall Efficiency of DC Motor given Input Power Solution

STEP 0: Pre-Calculation Summary
Formula Used
Overall Efficiency = (Input Power-(Armature Copper Loss+Field Copper Losses+Power Loss))/Input Power
ηo = (Pin-(Pcu(a)+Pcu(f)+Ploss))/Pin
This formula uses 5 Variables
Variables Used
Overall Efficiency - Overall Efficiency Electrical is defined as the combined efficiency of all the systems inside and electrical machine.
Input Power - (Measured in Watt) - Input Power is defined as the total power supplied to the electrical dc motor from the source which is connected to it.
Armature Copper Loss - (Measured in Watt) - The armature copper loss is variable and depends upon the amount of loading of the machine.
Field Copper Losses - (Measured in Watt) - Field Copper Losses is variable and depends upon the amount of loading of the machine.
Power Loss - (Measured in Watt) - Power Loss is the loss of the electrical power network supply to an end user.
STEP 1: Convert Input(s) to Base Unit
Input Power: 78 Watt --> 78 Watt No Conversion Required
Armature Copper Loss: 1.25 Watt --> 1.25 Watt No Conversion Required
Field Copper Losses: 2.81 Watt --> 2.81 Watt No Conversion Required
Power Loss: 41.34 Watt --> 41.34 Watt No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
ηo = (Pin-(Pcu(a)+Pcu(f)+Ploss))/Pin --> (78-(1.25+2.81+41.34))/78
Evaluating ... ...
ηo = 0.417948717948718
STEP 3: Convert Result to Output's Unit
0.417948717948718 --> No Conversion Required
FINAL ANSWER
0.417948717948718 0.417949 <-- Overall Efficiency
(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

Overall Efficiency of DC Motor given Input Power Formula

Overall Efficiency = (Input Power-(Armature Copper Loss+Field Copper Losses+Power Loss))/Input Power
ηo = (Pin-(Pcu(a)+Pcu(f)+Ploss))/Pin

What is a DC shunt motor?

A DC shunt motor is a type of self-excited DC motor, and it is also known as a shunt wound DC motor. The field windings in this motor can be connected in parallel to the armature winding.

How to Calculate Overall Efficiency of DC Motor given Input Power?

Overall Efficiency of DC Motor given Input Power calculator uses Overall Efficiency = (Input Power-(Armature Copper Loss+Field Copper Losses+Power Loss))/Input Power to calculate the Overall Efficiency, The Overall Efficiency of DC Motor given Input Power is defined as the ratio of the mechanical output to the electrical input. Overall efficiency looks at entire system from the initial input to the final output. Overall Efficiency is denoted by ηo symbol.

How to calculate Overall Efficiency of DC Motor given Input Power using this online calculator? To use this online calculator for Overall Efficiency of DC Motor given Input Power, enter Input Power (Pin), Armature Copper Loss (Pcu(a)), Field Copper Losses (Pcu(f)) & Power Loss (Ploss) and hit the calculate button. Here is how the Overall Efficiency of DC Motor given Input Power calculation can be explained with given input values -> 0.744103 = (78-(1.25+2.81+41.34))/78.

FAQ

What is Overall Efficiency of DC Motor given Input Power?
The Overall Efficiency of DC Motor given Input Power is defined as the ratio of the mechanical output to the electrical input. Overall efficiency looks at entire system from the initial input to the final output and is represented as ηo = (Pin-(Pcu(a)+Pcu(f)+Ploss))/Pin or Overall Efficiency = (Input Power-(Armature Copper Loss+Field Copper Losses+Power Loss))/Input Power. Input Power is defined as the total power supplied to the electrical dc motor from the source which is connected to it, The armature copper loss is variable and depends upon the amount of loading of the machine, Field Copper Losses is variable and depends upon the amount of loading of the machine & Power Loss is the loss of the electrical power network supply to an end user.
How to calculate Overall Efficiency of DC Motor given Input Power?
The Overall Efficiency of DC Motor given Input Power is defined as the ratio of the mechanical output to the electrical input. Overall efficiency looks at entire system from the initial input to the final output is calculated using Overall Efficiency = (Input Power-(Armature Copper Loss+Field Copper Losses+Power Loss))/Input Power. To calculate Overall Efficiency of DC Motor given Input Power, you need Input Power (Pin), Armature Copper Loss (Pcu(a)), Field Copper Losses (Pcu(f)) & Power Loss (Ploss). With our tool, you need to enter the respective value for Input Power, Armature Copper Loss, Field Copper Losses & Power Loss 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 Overall Efficiency?
In this formula, Overall Efficiency uses Input Power, Armature Copper Loss, Field Copper Losses & Power Loss. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Overall Efficiency = Mechanical Power/Input Power
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