2. A step-down transformer has 200 turns of wire in its primary coil. How
many turns are in the secondary coil if the input voltage = 120 V, and the
output voltage = 6 V?
The turns ratio between the primary and secondary coils can be found using the formula:
Turns ratio = input voltage / output voltage
Turns ratio = 120 V / 6 V
Turns ratio = 20
Since the turns ratio is equal to the ratio of turns in the primary coil to turns in the secondary coil, we can set up the following equation:
Turns in primary coil / Turns in secondary coil = 20
Given that there are 200 turns in the primary coil, we can substitute these values into the equation:
200 / Turns in secondary coil = 20
Solving for Turns in secondary coil:
Turns in secondary coil = 200 / 20
Turns in secondary coil = 10
Therefore, the number of turns in the secondary coil is 10.