SUMMARY
The formula for the induced electromotive force (emf) in a pure inductor is given by |E| = -L(dI/dt), where L is the inductance in henries. In this discussion, the current I in a 51 mH inductor is defined as I = bt² - at, with a = 20 A/s and b = 7 A/s². To find the magnitude of the induced emf at t = 1.2 s, one must differentiate the current equation and apply the formula for emf, confirming the approach through differentiation is correct.
PREREQUISITES
- Understanding of inductance and its units (Henry)
- Knowledge of calculus, specifically differentiation
- Familiarity with electromotive force (emf) concepts
- Basic understanding of current and its time-dependent equations
NEXT STEPS
- Study the differentiation of functions to understand how to derive current equations
- Learn about the relationship between current and induced emf in inductors
- Explore practical applications of inductors in electrical circuits
- Investigate the effects of varying inductance on circuit behavior
USEFUL FOR
Students studying electrical engineering, physics enthusiasts, and anyone looking to deepen their understanding of inductors and electromotive force calculations.