Mechanical Efficiency of DC Generator using Armature Voltage Calculator

✖Armature Voltage is defined as voltage developed at the terminals of the armature winding of an AC or DC machine during the generation of power.ⓘ Armature Voltage [V_a]			+10% -10%
✖Armature Current is defined as the current developed in the armature of an electrical DC generator due to movement of rotor.ⓘ Armature Current [I_a]			+10% -10%
✖Angular speed is the rate of rotation about an axis, measuring how the angle changes with time. It is measured in radian/sec.ⓘ Angular Speed [ω_s]			+10% -10%
✖Torque is the measure of the turning force produced by the armature. It is produced by the interaction between the magnetic field of the stator and the current flowing through armature.ⓘ Torque [τ]			+10% -10%

✖Mechanical Efficiency the ratio of the power delivered by a mechanical system to the power supplied to it.ⓘ Mechanical Efficiency of DC Generator using Armature Voltage [η_m]

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Mechanical Efficiency of DC Generator using Armature Voltage

Formula

`"η"_{"m"} = ("V"_{"a"}*"I"_{"a"})/("ω"_{"s"}*"τ")`

Example

`"0.682439"=("200V"*"0.75A")/("314rad/s"*"0.7N*m")`

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Mechanical Efficiency of DC Generator using Armature Voltage Solution

STEP 0: Pre-Calculation Summary

Formula Used

Mechanical Efficiency = (Armature Voltage*Armature Current)/(Angular Speed*Torque)
η_m = (V_a*I_a)/(ω_s*τ)
This formula uses 5 Variables

Variables Used

Mechanical Efficiency - Mechanical Efficiency the ratio of the power delivered by a mechanical system to the power supplied to it.
Armature Voltage - (Measured in Volt) - Armature Voltage is defined as voltage developed at the terminals of the armature winding of an AC or DC machine during the generation of power.
Armature Current - (Measured in Ampere) - Armature Current is defined as the current developed in the armature of an electrical DC generator due to movement of rotor.
Angular Speed - (Measured in Radian per Second) - Angular speed is the rate of rotation about an axis, measuring how the angle changes with time. It is measured in radian/sec.
Torque - (Measured in Newton Meter) - Torque is the measure of the turning force produced by the armature. It is produced by the interaction between the magnetic field of the stator and the current flowing through armature.

STEP 1: Convert Input(s) to Base Unit

Armature Voltage: 200 Volt --> 200 Volt No Conversion Required
Armature Current: 0.75 Ampere --> 0.75 Ampere No Conversion Required
Angular Speed: 314 Radian per Second --> 314 Radian per Second No Conversion Required
Torque: 0.7 Newton Meter --> 0.7 Newton Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

η_m = (V_a*I_a)/(ω_s*τ) --> (200*0.75)/(314*0.7)

Evaluating ... ...

η_m = 0.682438580527753

STEP 3: Convert Result to Output's Unit

0.682438580527753 --> No Conversion Required

FINAL ANSWER

0.682438580527753 ≈ 0.682439 <-- Mechanical Efficiency

(Calculation completed in 00.021 seconds)

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< 17 DC Generator Characteristics Calculators

Mechanical Efficiency of DC Generator using Armature Voltage

Go Mechanical Efficiency = (Armature Voltage*Armature Current)/(Angular Speed*Torque)

EMF for DC Generator for Wave Winding

Go EMF = (Number of Poles*Rotor Speed*Flux per Pole*Number of Conductor)/120

Stray Losses of DC Generator given Converted Power

Go Stray Loss = Input Power-Mechanical Losses-Core Loss-Converted Power

Core Losses of DC Generator given Converted Power

Go Core Loss = Input Power-Mechanical Losses-Converted Power-Stray Loss

Armature Resistance of DC Generator using Output Voltage

Go Armature Resistance = (Armature Voltage-Output Voltage)/Armature Current

EMF for DC Generator with Lap Winding

Go EMF = (Rotor Speed*Flux per Pole*Number of Conductor)/60

Back EMF of DC Generator given Flux

Go EMF = Back EMF Constant*Angular Speed*Flux per Pole

Power Drop in Brush DC Generator

Go Brush Power Drop = Armature Current*Brush Voltage Drop

Electrical Efficiency of DC Generator

Go Electrical Efficiency = Output Power/Converted Power

Induced Armature Voltage of DC Generator given Converted Power

Go Armature Voltage = Converted Power/Armature Current

Mechanical Efficiency of DC Generator using Converted Power

Go Mechanical Efficiency = Converted Power/Input Power

Armature Current of DC Generator given Power

Go Armature Current = Converted Power/Armature Voltage

Armature Power in DC Generator

Go Amature Power = Armature Voltage*Armature Current

Field Copper Loss in DC Generator

Go Copper Loss = Field Current^2*Field Resistance

Output Voltage in DC Generator using Converted Power

Go Output Voltage = Converted Power/Load Current

Overall Efficiency of DC Generator

Go Overall Efficiency = Output Power/Input Power

Converted Power in DC Generator

Go Converted Power = Output Voltage*Load Current

Mechanical Efficiency of DC Generator using Armature Voltage Formula

Mechanical Efficiency = (Armature Voltage*Armature Current)/(Angular Speed*Torque)
η_m = (V_a*I_a)/(ω_s*τ)

What are the characteristics of Series DC Generator?

A Series DC generator has a voltage output that is directly proportional to the load current. The voltage output is limited by the saturation of the magnetic circuit and the maximum current carrying capacity of the armature winding.

How to Calculate Mechanical Efficiency of DC Generator using Armature Voltage?

Mechanical Efficiency of DC Generator using Armature Voltage calculator uses Mechanical Efficiency = (Armature Voltage*Armature Current)/(Angular Speed*Torque) to calculate the Mechanical Efficiency, Mechanical Efficiency of DC Generator using Armature Voltage is dependent on the power in the armature and mechanical power applied at the input. Mechanical Efficiency is denoted by η_m symbol.

How to calculate Mechanical Efficiency of DC Generator using Armature Voltage using this online calculator? To use this online calculator for Mechanical Efficiency of DC Generator using Armature Voltage, enter Armature Voltage (V_a), Armature Current (I_a), Angular Speed (ω_s) & Torque (τ) and hit the calculate button. Here is how the Mechanical Efficiency of DC Generator using Armature Voltage calculation can be explained with given input values -> 0.682439 = (200*0.75)/(314*0.7).

FAQ

What is Mechanical Efficiency of DC Generator using Armature Voltage?

Mechanical Efficiency of DC Generator using Armature Voltage is dependent on the power in the armature and mechanical power applied at the input and is represented as η_m = (V_a*I_a)/(ω_s*τ) or Mechanical Efficiency = (Armature Voltage*Armature Current)/(Angular Speed*Torque). Armature Voltage is defined as voltage developed at the terminals of the armature winding of an AC or DC machine during the generation of power, Armature Current is defined as the current developed in the armature of an electrical DC generator due to movement of rotor, Angular speed is the rate of rotation about an axis, measuring how the angle changes with time. It is measured in radian/sec & Torque is the measure of the turning force produced by the armature. It is produced by the interaction between the magnetic field of the stator and the current flowing through armature.

How to calculate Mechanical Efficiency of DC Generator using Armature Voltage?

Mechanical Efficiency of DC Generator using Armature Voltage is dependent on the power in the armature and mechanical power applied at the input is calculated using Mechanical Efficiency = (Armature Voltage*Armature Current)/(Angular Speed*Torque). To calculate Mechanical Efficiency of DC Generator using Armature Voltage, you need Armature Voltage (V_a), Armature Current (I_a), Angular Speed (ω_s) & Torque (τ). With our tool, you need to enter the respective value for Armature Voltage, Armature Current, Angular Speed & Torque 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 Mechanical Efficiency?

In this formula, Mechanical Efficiency uses Armature Voltage, Armature Current, Angular Speed & Torque. We can use 1 other way(s) to calculate the same, which is/are as follows -

Mechanical Efficiency = Converted Power/Input Power

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