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Turns Ratio and Polarity

The ideal transformer in Fig. Q49 has N2/N1 = 10. What will be the ratio V2/V1? Fig. Q49
Original source figure for BMS Electrical question 49
Original figure referenced in question 49.
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Answer & Explanation
Correct AnswerD. – 10

Quick Explanation

For an ideal transformer, voltage magnitude follows the turns ratio, |V2/V1|=N2/N1=10. The dot/polarity marking in the figure makes the referenced secondary voltage opposite in polarity to the referenced primary voltage, so V2/V1=−10.

Formula / Key Relation

V2/V1=−N2/N1=−10
Turns Ratio and Polarity explanatory diagram

Detailed Explanation

Correct Answer

D — – 10

Concept and Reasoning

For an ideal transformer, voltage magnitude follows the turns ratio, |V2/V1|=N2/N1=10. The dot/polarity marking in the figure makes the referenced secondary voltage opposite in polarity to the referenced primary voltage, so V2/V1=−10.

Calculation / Key Relation

V2/V1=−N2/N1=−10

Exam Takeaway

Turns ratio gives magnitude; dot convention determines the sign.

Common Mistake

Do not ignore the indicated voltage reference directions and dot polarity.

Quick Trick

Turns ratio gives magnitude; dot convention determines the sign.

Common Mistake

Do not ignore the indicated voltage reference directions and dot polarity.

Exam Tip

Turns ratio gives magnitude; dot convention determines the sign.

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