Physics
Physics
Problem
An ideal transformer has 360 turns on the primary coil and 45 turns on the secondary coil. The primary coil is supplied with an RMS alternating voltage of 110 V. a. Is the transformer a step-up or a step-down transformer? b. Calculate the voltage across the secondary coil. c. Suggest a possible use for the transformer in your home.Intuitive explanation
The key insight is that an ideal transformer works by electromagnetic induction through a shared magnetic flux—the voltage ratio depends only on the turn ratio, not on the current or power. Since you have far fewer turns on the secondary (45 vs 360), the secondary voltage will be proportionally smaller. Use the fundamental transformer equation to find what voltage appears on the output coil.
Intuitive explanation
The key insight is that an ideal transformer works by electromagnetic induction through a shared magnetic flux—the voltage ratio depends only on the turn ratio, not on the current or power. Since you have far fewer turns on the secondary (45 vs 360), the secondary voltage will be proportionally smaller. Use the fundamental transformer equation to find what voltage appears on the output coil.