Question

Suppose that you want to build a transformer that will convert 70 V power coming in the primary coil to 245 V power going out of the secondary coil. What is the smallest total number of turns (primary turns plus secondary turns) you need to create the transformer

Answer 1

Answer: 9 Turns

Explanation: primary turns + secondary turns.

Answer 2

The smallest total number of turns (primary turns plus secondary turns) you will need to build the transformer is 9 turns

Data obtained from the question

• Primary voltage (Vₚ) = 70 V
• Secondary voltage (Vₛ) = 245 V
• Total turns =?

How to determine the primary and secondary turns

• Primary voltage (Vₚ) = 70 V
• Secondary voltage (Vₛ) = 245 V

• Primary turns (Nₚ) =?
• Secondary turns (Nₛ) =?

Nₛ / Nₚ = Vₛ / Vₚ

Nₛ / Nₚ = 245 / 70

Nₛ / Nₚ = 7 / 2

Thus,

• Primary turns (Nₚ) = 2 turns
• Secondary turns (Nₛ) = 7 turns

How to determine the total turns

• Primary turns (Nₚ) = 2 turns
• Secondary turns (Nₛ) = 7 turns
• Total turns =?

Total turns = Nₚ + Nₛ

Total turns = 2 + 7

Total turns = 9 turns

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