THE PRACTICE STUDIO
Go slowly. Ask why. Make it yours.
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.
Study with a tutor prompt
Copy this into your AI assistant, then describe where you got stuck. It asks the tutor to coach you one step at a time. Check its reasoning against the lesson.
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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.
Start with the smallest hint.
Work through it with me.
One decision at a time. Pause, predict, then unpack the algebra.
The secondary has one fifth as many turns, so it receives one fifth of the primary voltage.
Choose a physical relation
Both windings link the same changing core flux, so induced voltage is proportional to turn count.
Isolate what is asked
The secondary has one fifth as many turns, so it receives one fifth of the primary voltage.
Why is this step valid?
Apply the secondary-to-primary turns ratio to the primary rms voltage.
Substitute and interpret
Secondary voltage is 46 V; stepping voltage down does not create extra power in the ideal transformer.
The induced volts per turn agree in both coils.
TRY THE IDEA AGAIN
Would a steady DC primary voltage produce the same continuous transformer action?
YOUR LEARNING NOTE
How does this idea feel now?
Confidence is a reflection, not proof of mastery.
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