Answer to Question #158705 in Electric Circuits for Martins Odigie

Question

A step down transformer has 3200 windings in the primary coil and a primary voltage of 100 V. determine the number of windings in the secondary coil if the secondary voltage is 45 V.

Answer 1

By the ideal transformer equation, we have:

$$\dfrac{V_S}{V_P}=\dfrac{N_S}{N_P},$$ $$N_S=N_P\dfrac{V_S}{V_P},$$ $$N_S=3200\ windings\cdot\dfrac{45\ V}{100\ V}=1440\ windings.$$