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Design Constant of DC Machine Formula

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Machine Constant refers to the parameter which usually has a constant value for a particular type of dc machine. Check FAQs

K f = \frac{Z \cdot P}{2 \cdot π \cdot n ll}

K_f - Machine Constant?Z - Number of Conductors?P - Number of Poles?n_ll - Number of Parallel Paths?π - Archimedes' constant?

Design Constant of DC Machine Example

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Here is how the Design Constant of DC Machine equation looks like with Values.

Here is how the Design Constant of DC Machine equation looks like with Units.

Here is how the Design Constant of DC Machine equation looks like.

2.8648 = \frac{12 \cdot 9}{2 \cdot 3.1416 \cdot 6}

2.8648 = \frac{12 \cdot 9}{2 \cdot 3.1416 \cdot 6}

2.8648 = \frac{12 \cdot 9}{2 \cdot 3.1416 \cdot 6}

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Design Constant of DC Machine Solution

Follow our step by step solution on how to calculate Design Constant of DC Machine?

FIRST Step Consider the formula

K f = \frac{Z \cdot P}{2 \cdot π \cdot n ll}

Next Step Substitute values of Variables

∴

K f = \frac{12 \cdot 9}{2 \cdot π \cdot 6}

Next Step Substitute values of Constants

∴

K f = \frac{12 \cdot 9}{2 \cdot 3.1416 \cdot 6}

Next Step Prepare to Evaluate

∴

K f = \frac{12 \cdot 9}{2 \cdot 3.1416 \cdot 6}

Next Step Evaluate

∴

K f = 2.86478897565412

LAST Step Rounding Answer

∴

K f = 2.8648

Design Constant of DC Machine Formula Elements

Variables

Constants

Machine Constant

Machine Constant refers to the parameter which usually has a constant value for a particular type of dc machine.

Symbol: K_f

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Machine Constant

Number of Conductors

Number of Conductors in the armature winding is made up of a large number of individual conductors, which are arranged in a specific pattern to produce the desired electrical output.

Symbol: Z

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Number of Conductors

Number of Poles

Number of Poles refers to the total count of poles in an electrical machine for the flux generation.

Symbol: P

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Number of Poles

Number of Parallel Paths

Number of parallel paths in dc machine basically the conductors and coils are placed in their slots and connected to the commutator using either the lap winding method or the wave winding method.

Symbol: n_ll

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Number of Parallel Paths

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

Other formulas in DC Machine Characterstics category

Go Angular Speed of DC Machine using Kf

ω s = \frac{V a}{K f \cdot Φ \cdot I a}

Go Back Pitch for DC Machine

Y b = (\frac{2 \cdot n slot}{P}) + 1

Go Front Pitch for DC Machine

Y F = (\frac{2 \cdot n slot}{P}) - 1

Go EMF Generated in DC Machine with Lap Winding

E = \frac{N r \cdot Z \cdot Φ p}{60}

How to Evaluate Design Constant of DC Machine?

Design Constant of DC Machine evaluator uses Machine Constant = (Number of Conductors*Number of Poles)/(2*pi*Number of Parallel Paths) to evaluate the Machine Constant, The Design Constant of DC Machine are values or factors used in the design of machine components and systems to ensure their safe and efficient operation. These constants are based on scientific and engineering principles and are typically established through empirical testing and analysis. Machine Constant is denoted by K_f symbol.

How to evaluate Design Constant of DC Machine using this online evaluator? To use this online evaluator for Design Constant of DC Machine, enter Number of Conductors (Z), Number of Poles (P) & Number of Parallel Paths (n_ll) and hit the calculate button.

FAQs on Design Constant of DC Machine

What is the formula to find Design Constant of DC Machine?

The formula of Design Constant of DC Machine is expressed as Machine Constant = (Number of Conductors*Number of Poles)/(2*pi*Number of Parallel Paths). Here is an example- 2.864789 = (12*9)/(2*pi*6).

How to calculate Design Constant of DC Machine?

With Number of Conductors (Z), Number of Poles (P) & Number of Parallel Paths (n_ll) we can find Design Constant of DC Machine using the formula - Machine Constant = (Number of Conductors*Number of Poles)/(2*pi*Number of Parallel Paths). This formula also uses Archimedes' constant .

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Design Constant of DC Machine Formula

Design Constant of DC Machine Example

Design Constant of DC Machine Solution

Design Constant of DC Machine Formula Elements

Other formulas in DC Machine Characterstics category

How to Evaluate Design Constant of DC Machine?

FAQs on Design Constant of DC Machine

Variable Name