A transformer with 660 turns in its primary coil has to decrease the voltage from 4840 V to 220 V for home use. How many turns should there be on the secondary coil? ______:turns

Respuesta :

Given:

The primary coil of the transformer has 660 turns. Thus, Np = 600.

The primary voltage of the transformer is: Vp = 4840 v

The secondary voltage of the transformer is: Vs = 220 v

To find:

The number of turns of the secondary coil (Ns).

Explanation:

The primary voltage Vp, secondary voltage Vs, a number of turns on primary coil Np and on secondary coil Ns are related as:

[tex]\frac{V_p}{V_s}=\frac{N_p}{N_s}[/tex]

Rearranging the above equation, we get:

[tex]N_s=N_p\frac{V_s}{V_p}[/tex]

Substituting the values in the above equation, we get:

[tex]\begin{gathered} N_s=660\times\frac{220\text{ v}}{4840\text{ v}} \\ \\ N_s=\frac{145200}{4840} \\ \\ N_s=30 \end{gathered}[/tex]

Final answer:

The number of turns on the secondary coil of the given step-down transformer is 30.