Final answer:
To calculate the number of turns in the secondary coil of a transformer, use the transformer equation that relates voltages and turns. For a transformer changing 114 V to 13,500 V with 128 primary turns, the secondary coil should have approximately 15,158 turns.
Step-by-step explanation:
To determine the number of turns in the secondary coil of a transformer, we can use the transformer equation that relates the voltages and the number of turns on the primary and secondary coils:
Vp/Vs = Np/Ns
Where:
- Vp is the primary voltage
- Vs is the secondary voltage
- Np is the number of turns in the primary coil
- Ns is the number of turns in the secondary coil
Given:
- Vp = 114 V
- Vs = 13,500 V
- Np = 128 turns
We need to solve for Ns:
Ns = Np × (Vs/Vp)
Substituting the given values:
Ns = 128 turns × (13,500 V / 114 V)
Calculating this, we find:
Ns = 128 turns × 118.4210526316
Ns = 15,158 turns (approximately)
Therefore, the secondary coil should have approximately 15,158 turns to transform 114 V into 13,500 V with 100% efficiency.