Transformer Inductance and Capacitance Calculator

Formulas

The formulas to calculate the equivalent primary inductance and capacitance of a transformer are:

Equivalent Primary Inductance:

\[ L_1 = L_2 \times \left( \frac{N_1}{N_2} \right)^2 \]

Equivalent Primary Capacitance:

\[ C_1 = C_2 \times \left( \frac{N_2}{N_1} \right)^2 \]

Where:

\( L_1 \) is the equivalent primary inductance in millihenries (mH)
\( L_2 \) is the secondary inductance in millihenries (mH)
\( C_1 \) is the equivalent primary capacitance in microfarads (µF)
\( C_2 \) is the secondary capacitance in microfarads (µF)
\( N_2 \) is the number of turns in the secondary winding
\( N_1 \) is the number of turns in the primary winding

What is Transformer Inductance and Capacitance Transformation?

Transformer inductance and capacitance transformation refers to the relationship between the primary and secondary windings of a transformer. The inductance and capacitance in the primary winding can be calculated based on the inductance and capacitance in the secondary winding and the turns ratio.

Example Calculation

Let's assume the following values:

Number of Turns in Primary Winding (\( N_1 \)): 1600
Number of Turns in Secondary Winding (\( N_2 \)): 320
Secondary Inductance (\( L_2 \)): 10 mH
Secondary Capacitance (\( C_2 \)): 6.8 µF

Step 1: Calculate the equivalent primary inductance:

\[ L_1 = 10 \times \left( \frac{1600}{320} \right)^2 = 10 \times 25 = 250 \, \text{mH} \]

Step 2: Calculate the equivalent primary capacitance:

\[ C_1 = 6.8 \times \left( \frac{320}{1600} \right)^2 = 6.8 \times 0.04 = 0.272 \, \mu\text{F} \]