The 400-turn primary coil of a step-down transformer is connected to an ac line that is 120 V rms. The secondary coil voltage is 6.50 V rms. Calculate the number of turns in the secondary coil.

Respuesta :

Explanation:

The given data is as follows.

             [tex]V_{1}[/tex] = 120 V,    [tex]V_{2}[/tex] = 6.50 V

             [tex]N_{1}[/tex] = 400,     [tex]N_{2}[/tex] = ?

Formula to calculate the number of turns in secondary coil are as follows.

          [tex]\frac{N_{1}}{N_{2}} = \frac{V_{1}}{V_{2}}[/tex]

Putting the given values into the above formula as follows.

         [tex]\frac{N_{1}}{N_{2}} = \frac{V_{1}}{V_{2}}[/tex]

        [tex]\frac{400}{N_{2}} = \frac{120}{6.50}[/tex]

              [tex]N_{2}[/tex] = 21.66

                          = 22 (approx)

Thus, we can conclude that number of turns in the secondary coil are 22.