Transformer Impedance Ratio Calculator Based On

Impedance Ratio Formula:

\[ \text{Impedance Ratio} = \frac{Z_1}{Z_2} = \left( \frac{V_1}{V_2} \right)^2 \]

Primary Voltage (V1):

volts

Secondary Voltage (V2):

volts

Primary Impedance (Z1):

ohms

Secondary Impedance (Z2):

ohms

Impedance Ratio:

Unit Converter ▲

Unit Converter ▼

From:	To:

1. What is Transformer Impedance Ratio?

The impedance ratio of a transformer is the square of its turns ratio, which relates the primary and secondary impedances. It's a fundamental property that determines how a transformer matches impedances between circuits.

2. How Does the Calculator Work?

The calculator uses the impedance ratio formula:

\[ \frac{Z_1}{Z_2} = \left( \frac{V_1}{V_2} \right)^2 \]

Where:

\( Z_1 \) — Primary impedance (ohms)
\( Z_2 \) — Secondary impedance (ohms)
\( V_1 \) — Primary voltage (volts)
\( V_2 \) — Secondary voltage (volts)

Explanation: The impedance ratio equals the square of the voltage ratio, which is fundamental to transformer operation and impedance matching.

3. Importance of Impedance Ratio Calculation

Details: Calculating impedance ratio is crucial for proper impedance matching in audio systems, RF circuits, and power distribution systems to maximize power transfer and minimize signal reflection.

4. Using the Calculator

Tips: Enter any two known voltages or impedances. The calculator will determine the impedance ratio and calculate any missing impedance value if possible.

5. Frequently Asked Questions (FAQ)

Q1: Why is impedance ratio important in transformers?
A: It allows proper matching between source and load impedances, maximizing power transfer and preventing signal reflections.

Q2: How does impedance ratio relate to turns ratio?
A: Impedance ratio equals the square of the turns ratio (Z1/Z2 = (N1/N2)²).

Q3: What happens with impedance mismatch?
A: Impedance mismatch causes power loss, signal reflection, standing waves, and potential equipment damage.

Q4: Can I calculate missing impedance values?
A: Yes, if you know the impedance ratio and one impedance value, you can calculate the other.

Q5: Are there limitations to this calculation?
A: This assumes an ideal transformer. Real transformers have losses that slightly affect the actual impedance transformation.