Home Back

Transformer Winding Calculator

Transformer Winding Formula:

\[ N = \frac{V}{4.44 \times f \times B \times A} \]

volts
Hz
tesla

Unit Converter ▲

Unit Converter ▼

From: To:

1. What is the Transformer Winding Calculation?

The transformer winding calculation determines the number of turns needed in a transformer winding based on voltage, frequency, magnetic flux density, and core cross-sectional area. This is fundamental for transformer design and repair.

2. How Does the Calculator Work?

The calculator uses the transformer winding formula:

\[ N = \frac{V}{4.44 \times f \times B \times A} \]

Where:

Explanation: The equation relates the voltage applied to the number of turns needed to achieve the desired magnetic flux in the transformer core.

3. Importance of Proper Winding Calculation

Details: Correct winding calculation ensures proper voltage transformation, prevents core saturation, and maintains transformer efficiency and thermal performance.

4. Using the Calculator

Tips: Enter voltage in volts, frequency in Hz, flux density in tesla (typically 1.0-1.6T for silicon steel), and core area in square meters. All values must be positive.

5. Frequently Asked Questions (FAQ)

Q1: What is typical flux density for transformer cores?
A: For silicon steel cores, 1.0-1.6 tesla is common, with 1.2-1.4T being typical for power transformers.

Q2: How does frequency affect winding turns?
A: Higher frequencies require fewer turns for the same voltage, which is why aircraft and military systems often use 400Hz transformers.

Q3: What core area should I use?
A: Measure the cross-sectional area of the core (width × stack height for EI cores, πr² for toroids).

Q4: Why 4.44 in the formula?
A: This is the form factor (π/√2) for sinusoidal AC waveforms. For square waves it would be 4.0.

Q5: Can this be used for both primary and secondary?
A: Yes, the same formula applies to both windings - just use the appropriate voltage for each winding.

Transformer Winding Calculator© - All Rights Reserved 2025