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Armature Current of Series DC Generator given Output Power Formula

GoArmature Current of Series DC Generator using Terminal Voltage Formula

GoArmature Current of Series DC Generator given Torque Formula

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Armature Current is defined as the current developed in the armature of an electrical DC generator due to movement of rotor. Check FAQs

I a = \sqrt{\frac{P conv - P out}{R a}}

I_a - Armature Current?P_conv - Converted Power?P_out - Output Power?R_a - Armature Resistance?

Armature Current of Series DC Generator given Output Power Example

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Here is how the Armature Current of Series DC Generator given Output Power equation looks like with Values.

Here is how the Armature Current of Series DC Generator given Output Power equation looks like with Units.

Here is how the Armature Current of Series DC Generator given Output Power equation looks like.

0.66 = \sqrt{\frac{165.5 - 150}{35.58}}

0.66A = \sqrt{\frac{165.5W - 150W}{35.58Ω}}

0.66 = \sqrt{\frac{165.5 - 150}{35.58}}

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Armature Current of Series DC Generator given Output Power Solution

Follow our step by step solution on how to calculate Armature Current of Series DC Generator given Output Power?

FIRST Step Consider the formula

I a = \sqrt{\frac{P conv - P out}{R a}}

Next Step Substitute values of Variables

∴

I a = \sqrt{\frac{165.5W - 150W}{35.58Ω}}

Next Step Prepare to Evaluate

∴

I a = \sqrt{\frac{165.5 - 150}{35.58}}

Next Step Evaluate

∴

I a = 0.66002878639933A

LAST Step Rounding Answer

∴

I a = 0.66A

Armature Current of Series DC Generator given Output Power Formula Elements

Variables

Functions

Armature Current

Armature Current is defined as the current developed in the armature of an electrical DC generator due to movement of rotor.

Symbol: I_a

Measurement: Electric CurrentUnit: A

Note: Value should be greater than 0.

Formulas to find Armature Current

Converted Power

Converted Power refers to the electrical power output that is generated by the conversion of mechanical energy into electrical energy.

Symbol: P_conv

Measurement: PowerUnit: W

Note: Value can be positive or negative.

Formulas to find Converted Power

Output Power

Output Power refers to the product of current and voltage at the output terminal of a dc generator.

Symbol: P_out

Measurement: PowerUnit: W

Note: Value should be greater than 0.

Formulas to find Output Power

Armature Resistance

Armature Resistance is the ohmic resistance of the copper winding wires plus the brush resistance in an electrical generator.

Symbol: R_a

Measurement: Electric ResistanceUnit: Ω

Note: Value should be greater than 0.

Formulas to find Armature Resistance

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.

Syntax: sqrt(Number)

Other Formulas to find Armature Current

Go Armature Current of Series DC Generator using Terminal Voltage

I a = \frac{V a - V t}{R se + R a}

Go Armature Current of Series DC Generator given Torque

I a = \frac{τ \cdot ω s}{V a}

Other formulas in Current category

Go Load Current of Series DC Generator given Output Power

I L = \frac{P out}{V t}

Go Load Current of Series DC Generator given Load Power

I L = \frac{P L}{V t}

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

Armature Current of Series DC Generator given Output Power evaluator uses Armature Current = sqrt((Converted Power-Output Power)/Armature Resistance) to evaluate 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 evaluate Armature Current of Series DC Generator given Output Power using this online evaluator? To use this online evaluator 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.

FAQs on Armature Current of Series DC Generator given Output Power

What is the formula to find Armature Current of Series DC Generator given Output Power?

The formula of Armature Current of Series DC Generator given Output Power is expressed as Armature Current = sqrt((Converted Power-Output Power)/Armature Resistance). Here is an example- 0.660029 = sqrt((165.5-150)/35.58).

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

With Converted Power (P_conv), Output Power (P_out) & Armature Resistance (R_a) we can find Armature Current of Series DC Generator given Output Power using the formula - Armature Current = sqrt((Converted Power-Output Power)/Armature Resistance). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Armature Current?

Here are the different ways to Calculate Armature Current-

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

Can the Armature Current of Series DC Generator given Output Power be negative?

No, the Armature Current of Series DC Generator given Output Power, measured in Electric Current cannot be negative.

Which unit is used to measure Armature Current of Series DC Generator given Output Power?

Armature Current of Series DC Generator given Output Power is usually measured using the Ampere[A] for Electric Current. Milliampere[A], Microampere[A], Centiampere[A] are the few other units in which Armature Current of Series DC Generator given Output Power can be measured.

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Armature Current of Series DC Generator given Output Power Formula

​GoArmature Current of Series DC Generator using Terminal Voltage Formula

​GoArmature Current of Series DC Generator given Torque Formula

Armature Current of Series DC Generator given Output Power Example

Armature Current of Series DC Generator given Output Power Solution

Armature Current of Series DC Generator given Output Power Formula Elements

Other Formulas to find Armature Current

Other formulas in Current category

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

FAQs on Armature Current of Series DC Generator given Output Power

Variable Name

GoArmature Current of Series DC Generator using Terminal Voltage Formula

GoArmature Current of Series DC Generator given Torque Formula