The number of turns that should be wound around the primary coil is approximately 94.
To determine the number of turns needed for the primary coil, we can use the formula for the turns ratio of a transformer:
Turns ratio = Np / Ns = Vp / Vs,
where Np is the number of turns on the primary coil, Ns is the number of turns on the secondary coil, Vp is the voltage across the primary coil, and Vs is the voltage across the secondary coil.
In this case, we have:
Vs = 1430 V (voltage across the secondary coil),
Vp = 110 V (voltage across the primary coil),
Ns = 1222 (number of turns on the secondary coil).
Substituting these values into the turns ratio formula, we get:
Turns ratio = Np / 1222 = 110 V / 1430 V.
To find the value of Np, we can rearrange the equation:
Np = Turns ratio * 1222.
Calculating the turns ratio:
Turns ratio = (110 V / 1430 V) ≈ 0.076923.
Now, we can find the number of turns for the primary coil:
Np = 0.076923 * 1222.
Calculating this value:
Np ≈ 94.
Therefore, the number of turns that should be wound around the primary coil is approximately 94.