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Star to Delta Transformation Formula

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Delta Impedance 1 is defined as the first impedance connected in the delta connection. Check FAQs

Z 1 = Z A + Z B + (\frac{Z A \cdot Z B}{Z C})

Z₁ - Delta Impedance 1?Z_A - Star Impedance A?Z_B - Star Impedance B?Z_C - Star Impedance C?

Star to Delta Transformation Example

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Here is how the Star to Delta Transformation equation looks like with Values.

Here is how the Star to Delta Transformation equation looks like with Units.

Here is how the Star to Delta Transformation equation looks like.

37.1667 = 10.5 + 8 + (\frac{10.5 \cdot 8}{4.5})

37.1667Ω = 10.5Ω + 8Ω + (\frac{10.5Ω \cdot 8Ω}{4.5Ω})

37.1667 = 10.5 + 8 + (\frac{10.5 \cdot 8}{4.5})

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Star to Delta Transformation Solution

Follow our step by step solution on how to calculate Star to Delta Transformation?

FIRST Step Consider the formula

Z 1 = Z A + Z B + (\frac{Z A \cdot Z B}{Z C})

Next Step Substitute values of Variables

∴

Z 1 = 10.5Ω + 8Ω + (\frac{10.5Ω \cdot 8Ω}{4.5Ω})

Next Step Prepare to Evaluate

∴

Z 1 = 10.5 + 8 + (\frac{10.5 \cdot 8}{4.5})

Next Step Evaluate

∴

Z 1 = 37.1666666666667Ω

LAST Step Rounding Answer

∴

Z 1 = 37.1667Ω

Star to Delta Transformation Formula Elements

Variables

Delta Impedance 1

Delta Impedance 1 is defined as the first impedance connected in the delta connection.

Symbol: Z₁

Measurement: Electric ResistanceUnit: Ω

Note: Value should be greater than 0.

Formulas to find Delta Impedance 1

Star Impedance A

Star Impedance A is defined as the impedance connected between the A node and the neutral node in the star connection.

Symbol: Z_A

Measurement: Electric ResistanceUnit: Ω

Note: Value should be greater than 0.

Formulas to find Star Impedance A

Star Impedance B

Star Impedance B is defined as the impedance connected between the B node and the neutral node in the star connection.

Symbol: Z_B

Measurement: Electric ResistanceUnit: Ω

Note: Value should be greater than 0.

Formulas to find Star Impedance B

Star Impedance C

Star Impedance C is defined as the impedance connected between the C node and the neutral node in the star connection.

Symbol: Z_C

Measurement: Electric ResistanceUnit: Ω

Note: Value should be greater than 0.

Formulas to find Star Impedance C

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V R1 = V s \cdot (\frac{R 1}{R 1 + R 2})

How to Evaluate Star to Delta Transformation?

Star to Delta Transformation evaluator uses Delta Impedance 1 = Star Impedance A+Star Impedance B+((Star Impedance A*Star Impedance B)/Star Impedance C) to evaluate the Delta Impedance 1, The Star to Delta Transformation formula is defined as the transformation of impedance connected in a star connection to delta connection. It is done when the product of adjacent impedances in delta connection are divided by the sum of all the impedances in delta connection. Delta Impedance 1 is denoted by Z₁ symbol.

How to evaluate Star to Delta Transformation using this online evaluator? To use this online evaluator for Star to Delta Transformation, enter Star Impedance A (Z_A), Star Impedance B (Z_B) & Star Impedance C (Z_C) and hit the calculate button.

FAQs on Star to Delta Transformation

What is the formula to find Star to Delta Transformation?

The formula of Star to Delta Transformation is expressed as Delta Impedance 1 = Star Impedance A+Star Impedance B+((Star Impedance A*Star Impedance B)/Star Impedance C). Here is an example- 37.16667 = 10.5+8+((10.5*8)/4.5).

How to calculate Star to Delta Transformation?

With Star Impedance A (Z_A), Star Impedance B (Z_B) & Star Impedance C (Z_C) we can find Star to Delta Transformation using the formula - Delta Impedance 1 = Star Impedance A+Star Impedance B+((Star Impedance A*Star Impedance B)/Star Impedance C).

Can the Star to Delta Transformation be negative?

No, the Star to Delta Transformation, measured in Electric Resistance cannot be negative.

Which unit is used to measure Star to Delta Transformation?

Star to Delta Transformation 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 Star to Delta Transformation can be measured.

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Star to Delta Transformation Formula

Star to Delta Transformation Example

Star to Delta Transformation Solution

Star to Delta Transformation Formula Elements

Other formulas in DC Circuits category

How to Evaluate Star to Delta Transformation?

FAQs on Star to Delta Transformation

Variable Name