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

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Formula

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Armature Current of Series DC Generator given Output Power

Formula

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

Example

`"0.660029A"=sqrt(("165.5W"-"150W")/"35.58Ω")`

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Armature Current of Series DC Generator given Output Power Solution

STEP 0: Pre-Calculation Summary

Formula Used

Armature Current = sqrt((Converted Power-Output Power)/Armature Resistance)
I_a = sqrt((P_conv-P_out)/R_a)
This formula uses 1 Functions, 4 Variables

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

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.
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 Resistance - (Measured in Ohm) - Armature Resistance is the ohmic resistance of the copper winding wires plus the brush resistance in an electrical generator.

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 Resistance: 35.58 Ohm --> 35.58 Ohm No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

I_a = sqrt((P_conv-P_out)/R_a) --> sqrt((165.5-150)/35.58)

Evaluating ... ...

I_a = 0.66002878639933

STEP 3: Convert Result to Output's Unit

0.66002878639933 Ampere --> No Conversion Required

FINAL ANSWER

0.66002878639933 ≈ 0.660029 Ampere <-- Armature Current

(Calculation completed in 00.004 seconds)

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Created by Urvi Rathod

Vishwakarma Government Engineering College (VGEC), Ahmedabad

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< 5 Current Calculators

Armature Current of Series DC Generator using Terminal Voltage

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

Armature Current of Series DC Generator given Output Power

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

Armature Current of Series DC Generator given Torque

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

Load Current of Series DC Generator given Output Power

Go Load Current = Output Power/Terminal Voltage

Load Current of Series DC Generator given Load Power

Go Load Current = Load Power/Terminal Voltage

Armature Current of Series DC Generator given Output Power Formula

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

What is the range of Armature Current in Series DC Generator?

The range of armature current in a series DC generator depends on several factors, including the design of the generator and the load it is powering. However, in general, the armature current in a series DC generator can be quite high because the field winding and the armature winding are connected in series.

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

Armature Current of Series DC Generator given Output Power calculator uses Armature Current = sqrt((Converted Power-Output Power)/Armature Resistance) to calculate the Armature Current, The Armature Current of Series DC Generator given Output Power formula is defined as the current developed in the armature winding of an electrical DC generator due to movement of rotor. Armature Current is denoted by I_a symbol.

How to calculate Armature Current of Series DC Generator given Output Power using this online calculator? To use this online calculator for Armature Current of Series DC Generator given Output Power, enter Converted Power (P_conv), Output Power (P_out) & Armature Resistance (R_a) and hit the calculate button. Here is how the Armature Current of Series DC Generator given Output Power calculation can be explained with given input values -> 0.660029 = sqrt((165.5-150)/35.58).

FAQ

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

The Armature Current of Series DC Generator given Output Power formula is defined as the current developed in the armature winding of an electrical DC generator due to movement of rotor and is represented as I_a = sqrt((P_conv-P_out)/R_a) or Armature Current = sqrt((Converted Power-Output Power)/Armature Resistance). 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 Resistance is the ohmic resistance of the copper winding wires plus the brush resistance in an electrical generator.

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

The Armature Current of Series DC Generator given Output Power formula is defined as the current developed in the armature winding of an electrical DC generator due to movement of rotor is calculated using Armature Current = sqrt((Converted Power-Output Power)/Armature Resistance). To calculate Armature Current of Series DC Generator given Output Power, you need Converted Power (P_conv), Output Power (P_out) & Armature Resistance (R_a). With our tool, you need to enter the respective value for Converted Power, Output Power & Armature Resistance 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 Current?

In this formula, Armature Current uses Converted Power, Output Power & Armature Resistance. We can use 2 other way(s) to calculate the same, which is/are as follows -

Armature Current = (Armature Voltage-Terminal Voltage)/(Series Field Resistance+Armature Resistance)
Armature Current = (Torque*Angular Speed)/Armature Voltage

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