Question

the generator at a power plant produces AC at 27,000 V. A transformer steps this up to 355,000 V for transmission over power lines. If there are 1,900 turns of wire in the input coil of the transformer, how many turns must there be in the output coil?

Answer 1

Using the transformer equation, it is determined that there should be approximately 24,907 turns in the output coil of the transformer to step up the voltage from 27,000 V to 355,000 V.

Step-by-step explanation:

The subject of this question is Physics, specifically the concept of transformers in the context of electromagnetic induction. To find the number of turns in the output coil, we can use the transformer equation:

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, and Ns is the number of turns in the secondary coil.

Substituting the given values into the equation, we get:

27,000 V / 355,000 V = 1,900 turns / Ns

Solving for Ns, we find the number of turns in the secondary coil:

Ns = (355,000 V / 27,000 V) × 1,900 turns

Ns = 24,907.4, approximately 24,907 turns.