Input Power given Electrical Efficiency of DC Motor Solution

STEP 0: Pre-Calculation Summary
Formula Used
Input Power = Converted Power/Electrical Efficiency
Pin = Pconv/ηe
This formula uses 3 Variables
Variables Used
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.
Converted Power - (Measured in Watt) - Converted Power is the power we get after removing all losses from the input power. The loss are stray, mechanical and core losses.
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.
STEP 1: Convert Input(s) to Base Unit
Converted Power: 62.4 Watt --> 62.4 Watt No Conversion Required
Electrical Efficiency: 0.8 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Pin = Pconve --> 62.4/0.8
Evaluating ... ...
Pin = 78
STEP 3: Convert Result to Output's Unit
78 Watt --> No Conversion Required
FINAL ANSWER
78 Watt <-- Input Power
(Calculation completed in 00.004 seconds)

Credits

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Vishwakarma Government Engineering College (VGEC), Ahmedabad
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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

Input Power given Electrical Efficiency of DC Motor Formula

Input Power = Converted Power/Electrical Efficiency
Pin = Pconv/ηe

Where the losses occur in DC motor?

In the DC motor, iron losses occur in armature because the armature core is made of iron and it rotates in a magnetic field. Hence a small current gets induced in the core. Due to this current, eddy current losses and hysteresis losses occurs in the armature iron core.

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

Input Power given Electrical Efficiency of DC Motor calculator uses Input Power = Converted Power/Electrical Efficiency to calculate the Input Power, The Input Power given Electrical Efficiency of DC Motor formula is defined as the power that is supplied to DC motor. Input Power is denoted by Pin symbol.

How to calculate Input Power given Electrical Efficiency of DC Motor using this online calculator? To use this online calculator for Input Power given Electrical Efficiency of DC Motor, enter Converted Power (Pconv) & Electrical Efficiency e) and hit the calculate button. Here is how the Input Power given Electrical Efficiency of DC Motor calculation can be explained with given input values -> 20 = 62.4/0.8.

FAQ

What is Input Power given Electrical Efficiency of DC Motor?
The Input Power given Electrical Efficiency of DC Motor formula is defined as the power that is supplied to DC motor and is represented as Pin = Pconve or Input Power = Converted Power/Electrical Efficiency. Converted Power is the power we get after removing all losses from the input power. The loss are stray, mechanical and core losses & Electrical Efficiency is define as useful power output divided by the total electrical power consumed (a fractional expression) for a given dc machine.
How to calculate Input Power given Electrical Efficiency of DC Motor?
The Input Power given Electrical Efficiency of DC Motor formula is defined as the power that is supplied to DC motor is calculated using Input Power = Converted Power/Electrical Efficiency. To calculate Input Power given Electrical Efficiency of DC Motor, you need Converted Power (Pconv) & Electrical Efficiency e). With our tool, you need to enter the respective value for Converted Power & Electrical Efficiency and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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