Transformer Turns Ratio Impedance Calculator Based On

Impedance Ratio Formula:

\[ \text{Impedance Ratio} = \frac{Z_2}{Z_1} = \left( \frac{N_2}{N_1} \right)^2 \]

Z2 (ohms):

ohms

Z1 (ohms):

ohms

N2 (turns):

turns

N1 (turns):

turns

Impedance Ratio (unitless):

Unit Converter ▲

Unit Converter ▼

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1. What Is The Transformer Turns Ratio Impedance Calculator?

This calculator determines the impedance ratio of a transformer based on either the turns ratio or the actual impedance values. The impedance ratio is equal to the square of the turns ratio, which is a fundamental principle in transformer theory.

2. How Does The Calculator Work?

The calculator uses the fundamental transformer impedance formula:

\[ \frac{Z_2}{Z_1} = \left( \frac{N_2}{N_1} \right)^2 \]

Where:

\( Z_2 \) — Secondary impedance (ohms)
\( Z_1 \) — Primary impedance (ohms)
\( N_2 \) — Secondary turns count
\( N_1 \) — Primary turns count

Explanation: The calculator can work in two directions - you can input either the impedance values or the turns values to calculate the impedance ratio.

3. Importance Of Impedance Ratio Calculation

Details: Impedance matching is crucial in electrical engineering for maximum power transfer, minimizing reflections, and ensuring proper operation of transformers in various applications including audio systems, power distribution, and RF circuits.

4. Using The Calculator

Tips: Enter either the impedance values (Z2 and Z1) OR the turns values (N2 and N1). The calculator will automatically compute the impedance ratio. All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: Why is the impedance ratio equal to the square of the turns ratio?
A: This relationship comes from the fact that impedance is proportional to the square of the voltage ratio, and voltage ratio equals turns ratio in an ideal transformer.

Q2: What if I have both impedance and turns values?
A: The calculator prioritizes impedance values if both are provided. If you want to calculate using turns ratio, leave the impedance fields empty.

Q3: Does this work for both step-up and step-down transformers?
A: Yes, the formula works for both types. The ratio will be greater than 1 for step-up and less than 1 for step-down transformers.

Q4: Are there limitations to this calculation?
A: This assumes an ideal transformer without losses. Real transformers have additional factors like core losses, copper losses, and leakage inductance.

Q5: How accurate is this for practical applications?
A: For most engineering purposes, this provides a good approximation. For precise impedance matching, additional factors may need to be considered.