Transformer Circuit


The figure below shows the circuit from Example 11.10-1 of Introduction to Electric Circuits, 5e by R.C. Dorf and J.A. Svoboda.

The input to this circuit is the voltage

provided by the voltage source. The response, or output, of the circuit is the voltage vo(t).

To analyze this circuit,

  1. Reflect the load impedance, RL to the primary. (See section 11.10 of Introduction to Electric Circuits.)

  2. Use voltage division to calculate the voltage across the primary coil of the transformer.

  3. Use the element equations of the ideal transformer to calculate the voltage across the secondary coil from the voltage across the primary coil and the turns ratio of the transformer.

The result is:

In this case RL=8 so