Question

An electronic game requires 6 V for operation. With a transformer it can be powered by a120-V outlet. If the primary has 500 turns, the secondary hasA) 4 turns.B) 25 turns.C) 50 turns.D) more than 50 turns.

Answer 1

B) 25 turns

Step-by-step explanation

The relationship between the number of turns of a transformer and the input and output voltage is:

`\frac{N_{\text{p}}}{N_s}=(V_p)/(V_s)`

Where Np is the number of turns of the primary, Ns is the number of turns of the secondary, Vp is the input voltage (in the primary) and Vs is the output voltage.

Solving for Ns:

`N_S=N_P\cdot(V_S)/(V_P)`

In this problem Np = 500, Vp = 120 and Vs = 6:

`\begin{gathered} N_S=500\cdot(6)/(120) \\ N_S=500\cdot(1)/(20) \\ N_S=25 \end{gathered}`

Hence, the correct option is B. The secondary has 25 turns