Number of Turns In A Transformer Coil Calculator

Transformer Coil Turns Estimator

Input Fields

Voltage

V

V

Voltage across the coil

Frequency

f

Hz

AC frequency (typically 50 or 60 Hz)

Magnetic flux density

B

T

Maximum core flux density in tesla

Core cross-sectional area

A

cm²

Core area in square centimeters

CalculateReset

Calculate automaticallyIf enabled, the result will update automatically when you change any value.

Your Results

Number of Turns

Leave a Comment

How did this result make you feel?

1😀 Like 0💡 Helpful 0😕 Confused 0😞 Disappointed 0❌ Inaccurate

Number of Turns per Volt Formula

$$N = \frac{V \cdot 10^8}{4.44 \cdot f \cdot A \cdot B}$$

Where:

• $$N$$ = number of turns
• $$V$$ = voltage (V)
• $$f$$ = frequency (Hz)
• $$A$$ = core cross-sectional area (cm²)
• $$B$$ = magnetic flux density (Gauss, typically 10,000 G = 1 T)

This is the general formula for calculating the number of turns in a transformer coil using the volts-per-turn rule, derived from Faraday’s Law.

Number of Turns – Calculation Example

Given:

• $$V$$ = 230 V
• $$f$$ = 50 Hz
• $$A$$ = 6.25 cm²
• $$B$$ = 10,000 G

Calculation:

1. $$N = \frac{230 \cdot 10^8}{4.44 \cdot 50 \cdot 6.25 \cdot 10,000}$$
2. $$= \frac{2.3 \cdot 10^{10}}{13,875,000} ≈ 1657.66~\text{turns}$$

Designing a transformer requires accurately calculating the number of turns per winding to ensure the correct voltage transformation and core utilization. This calculator helps determine turns based on voltage, frequency, core area, and magnetic flux. It supports both primary and secondary windings, offering quick estimates for power transformer design, inverter circuits, and magnetic component design in electronics.