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Armature Resistance of Series DC Generator given Output Power Formula

GoArmature Resistance of Series DC Generator using Terminal Voltage Formula

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

R a = \frac{P conv - P out}{{I a}^{2}}

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

Armature Resistance of Series DC Generator given Output Power Example

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

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

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

35.5831 = \frac{165.5 - 150}{{0.66}^{2}}

35.5831Ω = \frac{165.5W - 150W}{{0.66A}^{2}}

35.5831 = \frac{165.5 - 150}{{0.66}^{2}}

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Armature Resistance of Series DC Generator given Output Power Solution

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

FIRST Step Consider the formula

R a = \frac{P conv - P out}{{I a}^{2}}

Next Step Substitute values of Variables

∴

R a = \frac{165.5W - 150W}{{0.66A}^{2}}

Next Step Prepare to Evaluate

∴

R a = \frac{165.5 - 150}{{0.66}^{2}}

Next Step Evaluate

∴

R a = 35.5831037649219Ω

LAST Step Rounding Answer

∴

R a = 35.5831Ω

Armature Resistance of Series DC Generator given Output Power Formula Elements

Variables

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

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 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

Other Formulas to find Armature Resistance

Go Armature Resistance of Series DC Generator using Terminal Voltage

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

Other formulas in Resistance category

Go Series Field Resistance of Series DC Generator using Terminal Voltage

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

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

Armature Resistance of Series DC Generator given Output Power evaluator uses Armature Resistance = (Converted Power-Output Power)/(Armature Current^2) to evaluate 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 evaluate Armature Resistance of Series DC Generator given Output Power using this online evaluator? To use this online evaluator 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.

FAQs on Armature Resistance of Series DC Generator given Output Power

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

The formula of Armature Resistance of Series DC Generator given Output Power is expressed as Armature Resistance = (Converted Power-Output Power)/(Armature Current^2). Here is an example- 35.5831 = (165.5-150)/(0.66^2).

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

With Converted Power (P_conv), Output Power (P_out) & Armature Current (I_a) we can find Armature Resistance of Series DC Generator given Output Power using the formula - Armature Resistance = (Converted Power-Output Power)/(Armature Current^2).

What are the other ways to Calculate Armature Resistance?

Here are the different ways to Calculate Armature Resistance-

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

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

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

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

Armature Resistance of Series DC Generator given Output Power is usually measured using the Ohm[Ω] for Electric Resistance. Megohm[Ω], Microhm[Ω], Volt per Ampere[Ω] are the few other units in which Armature Resistance of Series DC Generator given Output Power can be measured.

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Armature Resistance of Series DC Generator given Output Power Formula

​GoArmature Resistance of Series DC Generator using Terminal Voltage Formula

Armature Resistance of Series DC Generator given Output Power Example

Armature Resistance of Series DC Generator given Output Power Solution

Armature Resistance of Series DC Generator given Output Power Formula Elements

Other Formulas to find Armature Resistance

Other formulas in Resistance category

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

FAQs on Armature Resistance of Series DC Generator given Output Power

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GoArmature Resistance of Series DC Generator using Terminal Voltage Formula