An ideal step-down transformer is needed to reduce a primary voltage of 120 V to 6.0 V. What must be the ratio of the number of turns in the secondary to the number of turns in the primary

Respuesta :

Answer:

[tex]N_s : N_p = 20 : 1[/tex]

Explanation:

From the question we are told that

    The primary voltage is  [tex]V_p = 120 \ V[/tex]

     The secondary voltage is  [tex]V_s = 6 \ V[/tex]    

     

Generally from the transformer equation we have that

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

So

       [tex]\frac{120}{6} = \frac{N_p}{N_s}[/tex]

=>      [tex]\frac{N_p}{N_s} = 20[/tex]

Therefore the ratio of the number of turns in the secondary to the number of turns in the primary is  

       [tex]N_s : N_p = 20 : 1[/tex]