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Delta to Star Transformation Formula

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

Z A = \frac{Z 1 \cdot Z 3}{Z 1 + Z 2 + Z 3}

Z_A - Star Impedance A?Z₁ - Delta Impedance 1?Z₃ - Delta Impedance 3?Z₂ - Delta Impedance 2?

Delta to Star Transformation Example

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

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

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

10.5114 = \frac{37 \cdot 25}{37 + 26 + 25}

10.5114Ω = \frac{37Ω \cdot 25Ω}{37Ω + 26Ω + 25Ω}

10.5114 = \frac{37 \cdot 25}{37 + 26 + 25}

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Delta to Star Transformation Solution

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

FIRST Step Consider the formula

Z A = \frac{Z 1 \cdot Z 3}{Z 1 + Z 2 + Z 3}

Next Step Substitute values of Variables

∴

Z A = \frac{37Ω \cdot 25Ω}{37Ω + 26Ω + 25Ω}

Next Step Prepare to Evaluate

∴

Z A = \frac{37 \cdot 25}{37 + 26 + 25}

Next Step Evaluate

∴

Z A = 10.5113636363636Ω

LAST Step Rounding Answer

∴

Z A = 10.5114Ω

Delta to Star Transformation Formula Elements

Variables

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

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

Delta Impedance 3

Delta Impedance 3 is defined as the third impedance connected in the delta connection.

Symbol: Z₃

Measurement: Electric ResistanceUnit: Ω

Note: Value should be greater than 0.

Formulas to find Delta Impedance 3

Delta Impedance 2

Delta Impedance 2 is defined as the second impedance connected in the delta connection.

Symbol: Z₂

Measurement: Electric ResistanceUnit: Ω

Note: Value should be greater than 0.

Formulas to find Delta Impedance 2

Other formulas in DC Circuits category

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Go Voltage Divider for Two Resistors

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

How to Evaluate Delta to Star Transformation?

Delta to Star Transformation evaluator uses Star Impedance A = (Delta Impedance 1*Delta Impedance 3)/(Delta Impedance 1+Delta Impedance 2+Delta Impedance 3) to evaluate the Star Impedance A, The Delta to Star Transformation formula is defined as the transformation of impedance connected in a delta connection to star connection. It is done when the sum of adjacent impedances in star connection are summed up with the product of two adjacent impedances divided by the remaining one impedance. Star Impedance A is denoted by Z_A symbol.

How to evaluate Delta to Star Transformation using this online evaluator? To use this online evaluator for Delta to Star Transformation, enter Delta Impedance 1 (Z₁), Delta Impedance 3 (Z₃) & Delta Impedance 2 (Z₂) and hit the calculate button.

FAQs on Delta to Star Transformation

What is the formula to find Delta to Star Transformation?

The formula of Delta to Star Transformation is expressed as Star Impedance A = (Delta Impedance 1*Delta Impedance 3)/(Delta Impedance 1+Delta Impedance 2+Delta Impedance 3). Here is an example- 10.51136 = (37*25)/(37+26+25).

How to calculate Delta to Star Transformation?

With Delta Impedance 1 (Z₁), Delta Impedance 3 (Z₃) & Delta Impedance 2 (Z₂) we can find Delta to Star Transformation using the formula - Star Impedance A = (Delta Impedance 1*Delta Impedance 3)/(Delta Impedance 1+Delta Impedance 2+Delta Impedance 3).

Can the Delta to Star Transformation be negative?

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

Which unit is used to measure Delta to Star Transformation?

Delta to Star 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 Delta to Star Transformation can be measured.

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Delta to Star Transformation Formula

Delta to Star Transformation Example

Delta to Star Transformation Solution

Delta to Star Transformation Formula Elements

Other formulas in DC Circuits category

How to Evaluate Delta to Star Transformation?

FAQs on Delta to Star Transformation

Variable Name