Transformer Voltage Calculator

Formula

The formula to calculate the primary voltage of a transformer is:

Primary Voltage:

\[ U_1 = 4.44 \cdot f \cdot B_m \cdot A \cdot N_1 \]

Where:

\( U_1 \) is the primary voltage in volts (V)
\( f \) is the frequency in hertz (Hz)
\( B_m \) is the peak magnetic flux density in teslas (T)
\( A \) is the effective core cross-sectional area in square meters (m²)
\( N_1 \) is the number of turns in the primary winding

What is Transformer Primary Voltage?

The primary voltage of a transformer is the voltage applied to the primary winding, which induces a magnetic flux in the core. This flux then induces a voltage in the secondary winding, allowing for voltage transformation. The primary voltage depends on the frequency, magnetic flux density, core cross-sectional area, and the number of turns in the primary winding.

Example Calculation

Let's assume the following values:

Core Cross-Sectional Area (\( A \)): 20 × 20 mm² = 400 mm²
Magnetic Flux Density (\( B_m \)): 1.8 T
Frequency (\( f \)): 50 Hz
Number of Turns (\( N_1 \)): 1600
Core Stacking Factor (\( k \)): 0.9

Step 1: Calculate the effective cross-sectional area:

\[ A_{\text{effective}} = 0.9 \cdot 400 \times 10^{-6} = 3.6 \times 10^{-4} \, \text{m}^2 \]

Step 2: Calculate the primary voltage:

\[ U_1 = 4.44 \cdot 50 \cdot 1.8 \cdot 3.6 \times 10^{-4} \cdot 1600 \approx 229.94 \, V \]