A C Fundamental Waveform Electrical Engineering 2 Mechanical

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A. C Fundamental Waveform Electrical Engineering (2) Mechanical Engineering/ first class College of Engineering

A. C Fundamental Waveform Electrical Engineering (2) Mechanical Engineering/ first class College of Engineering University of Al-Qadisiya Lecturer: Yousif M. H.

Capacitors and Inductors Series and Parallel Inductors 2

Capacitors and Inductors Series and Parallel Inductors 2

Inductors • An inductor is a passive element designed to store energy in its

Inductors • An inductor is a passive element designed to store energy in its magnetic field. • An inductor consists of a coil of conducting wire. • The unit of inductors is Henry (H), m. H (10– 3) and H (10– 6). 3

Inductors • The current-voltage relationship of an inductor: • The energy stored by an

Inductors • The current-voltage relationship of an inductor: • The energy stored by an inductor: • An inductor acts like a short circuit to dc (di/dt = 0) and its current cannot change abruptly. 4

Inductors Example 4 The terminal voltage of a 2 -H inductor is v =

Inductors Example 4 The terminal voltage of a 2 -H inductor is v = 10(1 -t) V Find the current flowing through it at t = 4 s and the energy stored in it within 0 < t < 4 s. Answer: Assume i(0) = 2 A. i(4 s) = -18 A w(4 s) = 324 J 5

Series and Parallel Inductors • The equivalent inductance of series-connected inductors is the sum

Series and Parallel Inductors • The equivalent inductance of series-connected inductors is the sum of the individual inductances. 6

Series and Parallel Inductors • The equivalent capacitance of parallel inductors is the reciprocal

Series and Parallel Inductors • The equivalent capacitance of parallel inductors is the reciprocal of the sum of the reciprocals of the individual inductances. 7

Series and Parallel Capacitors Example 5 Calculate the equivalent inductance for the inductive ladder

Series and Parallel Capacitors Example 5 Calculate the equivalent inductance for the inductive ladder network in the circuit shown below: Answer: Leq = 25 m. H 8

 • Current and voltage relationship for R, L, C + + + 9

• Current and voltage relationship for R, L, C + + + 9