SUMMARY
The discussion focuses on calculating the amplitude of induced EMF in an electric generator when the frequency changes from 60 Hz to 180 Hz, while maintaining a constant magnetic field. The initial amplitude of the induced EMF is 50 V at 60 Hz. Using the formula ε = NABω, the correct amplitude at 180 Hz is determined to be 150 V, correcting the initial miscalculation of 64.3 V. The key takeaway is that the amplitude of induced EMF is directly proportional to the frequency when other factors remain constant.
PREREQUISITES
- Understanding of Faraday's Law of Electromagnetic Induction
- Familiarity with the relationship between frequency and angular velocity (ω = 2∏f)
- Knowledge of the formula for induced EMF (ε = NABω)
- Basic trigonometry for sine functions
NEXT STEPS
- Study the principles of Faraday's Law in greater detail
- Learn about the effects of changing frequency on electromagnetic induction
- Explore the relationship between magnetic flux and induced EMF
- Investigate practical applications of electric generators in various industries
USEFUL FOR
Students studying physics, electrical engineering professionals, and anyone interested in the principles of electromagnetic induction and electric generator design.