SUMMARY
The discussion centers on calculating the electromotive force (emf) induced in an AC generator coil with specific parameters. The coil has an area of 1.2x10-2 m2, consists of 500 turns, and operates in a 0.13-T magnetic field while rotating at an angular speed of 34 rad/s. The correct formula for emf is E = NABωsin(θ), leading to an induced emf of approximately 12.03 V when the angle θ is 27 degrees. A common error noted is the confusion between frequency (f) and angular speed (ω), which can lead to incorrect calculations.
PREREQUISITES
- Understanding of electromagnetic induction principles
- Familiarity with AC generator operation
- Knowledge of the formula E = NABωsin(θ)
- Basic trigonometry for angle calculations
NEXT STEPS
- Study the derivation and applications of Faraday's Law of Electromagnetic Induction
- Learn about the impact of angular velocity on emf in AC generators
- Explore the relationship between frequency and angular speed in electrical systems
- Investigate common errors in electromagnetic calculations and how to avoid them
USEFUL FOR
Students studying physics, electrical engineers, and anyone interested in the principles of electromagnetic induction and AC generator functionality.