Transformers work strictly with alternating current (AC) because they rely on a constantly changing magnetic flux ($\frac{d\Phi}{dt}$) to induce voltage. If connected to a steady DC source, the flux remains constant, no back-emf is induced, and the high current will burn out the primary winding.
For more detailed calculations, please refer to pages 3 and 4 of “Electrical_Technology.pdf”.