Armature Resistance of Series DC Generator given Output Power Calculator

✖Converted Power refers to the electrical power output that is generated by the conversion of mechanical energy into electrical energy.ⓘ Converted Power [P_conv]			+10% -10%
✖Output Power refers to the product of current and voltage at the output terminal of a dc generator.ⓘ Output Power [P_out]			+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%

✖Armature Resistance is the ohmic resistance of the copper winding wires plus the brush resistance in an electrical generator.ⓘ Armature Resistance of Series DC Generator given Output Power [R_a]

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Armature Resistance of Series DC Generator given Output Power

Formula

`"R"_{"a"} = ("P"_{"conv"}-"P"_{"out"})/("I"_{"a"}^2)`

Example

`"35.5831Ω"=("165.5W"-"150W")/(("0.66A")^2)`

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Armature Resistance of Series DC Generator given Output Power Solution

STEP 0: Pre-Calculation Summary

Formula Used

Armature Resistance = (Converted Power-Output Power)/(Armature Current^2)
R_a = (P_conv-P_out)/(I_a^2)
This formula uses 4 Variables

Variables Used

Armature Resistance - (Measured in Ohm) - Armature Resistance is the ohmic resistance of the copper winding wires plus the brush resistance in an electrical generator.
Converted Power - (Measured in Watt) - Converted Power refers to the electrical power output that is generated by the conversion of mechanical energy into electrical energy.
Output Power - (Measured in Watt) - Output Power refers to the product of current and voltage at the output terminal of a dc generator.
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.

STEP 1: Convert Input(s) to Base Unit

Converted Power: 165.5 Watt --> 165.5 Watt No Conversion Required
Output Power: 150 Watt --> 150 Watt No Conversion Required
Armature Current: 0.66 Ampere --> 0.66 Ampere No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

R_a = (P_conv-P_out)/(I_a^2) --> (165.5-150)/(0.66^2)

Evaluating ... ...

R_a = 35.5831037649219

STEP 3: Convert Result to Output's Unit

35.5831037649219 Ohm --> No Conversion Required

FINAL ANSWER

35.5831037649219 ≈ 35.5831 Ohm <-- Armature Resistance

(Calculation completed in 00.020 seconds)

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< 3 Resistance Calculators

Series Field Resistance of Series DC Generator using Terminal Voltage

Go Series Field Resistance = ((Armature Voltage-Terminal Voltage)/Armature Current)-Armature Resistance

Armature Resistance of Series DC Generator using Terminal Voltage

Go Armature Resistance = ((Armature Voltage-Terminal Voltage)/Armature Current)-Series Field Resistance

Armature Resistance of Series DC Generator given Output Power

Go Armature Resistance = (Converted Power-Output Power)/(Armature Current^2)

Armature Resistance of Series DC Generator given Output Power Formula

Armature Resistance = (Converted Power-Output Power)/(Armature Current^2)
R_a = (P_conv-P_out)/(I_a^2)

What is a DC generator used for?

A DC generator is an electrical device used for generating electrical energy. The main function of this device is to change mechanical energy into electrical energy. There are several types of mechanical energy sources available such as hand cranks, internal combustion engines, water turbines, gas and steam turbines.

How to Calculate Armature Resistance of Series DC Generator given Output Power?

Armature Resistance of Series DC Generator given Output Power calculator uses Armature Resistance = (Converted Power-Output Power)/(Armature Current^2) to calculate the Armature Resistance, The Armature Resistance of Series DC Generator given Output Power formula is defined as the resistance of the armature of the series DC generator. Armature Resistance is denoted by R_a symbol.

How to calculate Armature Resistance of Series DC Generator given Output Power using this online calculator? To use this online calculator for Armature Resistance of Series DC Generator given Output Power, enter Converted Power (P_conv), Output Power (P_out) & Armature Current (I_a) and hit the calculate button. Here is how the Armature Resistance of Series DC Generator given Output Power calculation can be explained with given input values -> 35.5831 = (165.5-150)/(0.66^2).

FAQ

What is Armature Resistance of Series DC Generator given Output Power?

The Armature Resistance of Series DC Generator given Output Power formula is defined as the resistance of the armature of the series DC generator and is represented as R_a = (P_conv-P_out)/(I_a^2) or Armature Resistance = (Converted Power-Output Power)/(Armature Current^2). Converted Power refers to the electrical power output that is generated by the conversion of mechanical energy into electrical energy, Output Power refers to the product of current and voltage at the output terminal of a dc generator & Armature Current is defined as the current developed in the armature of an electrical DC generator due to movement of rotor.

How to calculate Armature Resistance of Series DC Generator given Output Power?

The Armature Resistance of Series DC Generator given Output Power formula is defined as the resistance of the armature of the series DC generator is calculated using Armature Resistance = (Converted Power-Output Power)/(Armature Current^2). To calculate Armature Resistance of Series DC Generator given Output Power, you need Converted Power (P_conv), Output Power (P_out) & Armature Current (I_a). With our tool, you need to enter the respective value for Converted Power, Output Power & Armature Current 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 Armature Resistance?

In this formula, Armature Resistance uses Converted Power, Output Power & Armature Current. We can use 1 other way(s) to calculate the same, which is/are as follows -

Armature Resistance = ((Armature Voltage-Terminal Voltage)/Armature Current)-Series Field Resistance

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