Consider a transformer with a primary that has 50 turns of wire and a secondary of 250 turns. Then a 110-V input will produce an output of which of the following? A) 550 volts.B) 110 volts.C) 300 volts.D) 50 volts.E) 22 volts.
A). The turns ratio equals the voltage ratio.
To determine the output voltage of a transformer, we can use the concept of turns ratio. The turns ratio is the ratio of the number of turns in the secondary coil (N_s) to the number of turns in the primary coil (N_p). In this case, N_s = 250 and N_p = 50.
The turns ratio can be calculated as follows:
Turns ratio = N_s / N_p
Substituting the given values, we have:
Turns ratio = 250 / 50 = 5
The turns ratio represents the ratio of the output voltage (V_s) to the input voltage (V_p). Therefore, we can write:
Turns ratio = V_s / V_p
Rearranging the equation to solve for V_s, we get:
V_s = Turns ratio x V_p
Substituting the given input voltage (V_p = 110 V) and the turns ratio (5), we can calculate the output voltage:
V_s = 5 x 110 = 550 V
Therefore, the correct answer is A) 550 volts.