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PRACTICEIntermediate · Single correct

PRACTICE / Transformers

Turn counts set the output voltage

An ideal transformer has 500 primary turns and 100 secondary turns. The primary rms voltage is 230 V.

Find the secondary rms voltage.

Organize the givens & assumptions
  • Np = 500
  • Ns = 100
  • Vp = 230 V

Ideal transformer with sinusoidal AC excitation; perfect coupling and no losses; both voltages are rms.

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Problem: Turn counts set the output voltage
An ideal transformer has 500 primary turns and 100 secondary turns. The primary rms voltage is 230 V.
Question: Find the secondary rms voltage.
Givens:
- Np = 500
- Ns = 100
- Vp = 230 V
Assumptions: Ideal transformer with sinusoidal AC excitation; perfect coupling and no losses; both voltages are rms.
Choices (LaTeX):
A. 23\ \mathrm V
B. 46\ \mathrm V
C. 1150\ \mathrm V
D. 230\ \mathrm V

Ask for my approach first. Help me distinguish a physical misconception from an algebra error without revealing which choice is correct.

Tutoring approach:
Act as a patient physics tutor. Ask what I understand and what I have tried, then wait for my reply. Teach one step at a time; do not give the final answer or a complete solution immediately. Start with a physical picture. Define unfamiliar symbols and operators, explain signs and units, and state the model's assumptions. Give progressively stronger hints only when I need them. Ask me to predict a change before calculating it. When I finish, help me check dimensions and a limiting case, then ask one related transfer question. If information is missing or ambiguous, ask rather than inventing it. Distinguish exact results from approximations and acknowledge uncertainty.
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