1. Quiz
10 min

2. Objectives Continue with Fundamentals of Electric Circuits Capacitors
Inductors

3. Capacitors
Consists of two conductive plates separated by a dielectric layer.

4. Dynamic System t (or ) is time

5. Current and voltage in the system with the capacitor

6. Purpose of capacitors store electrical charge or energy
generate huge voltages in the circuits

7. Capacitors in Series and Parallel

8. Example
Find i as a function of C , R and VB

9. Solving Differential Equation
The transient response is the time required for the capacitor to fully charge, and is equivalent to about 5 time constants or 5T. 5T

10. Solution based on intuition

11. Magnetic Field Produced by Current
An electric current in a wire produces a magnetic field around the wire that is proportional to the magnitude of the current
The direction of the field follows the “right hand rule” put your thumb in the direction of the current, and your fingers wrap in the direction of the magnetic field

12. Electromagnet
If we have a coil of wire with a current through the wire, each turn will contribute to the magnetic field and we can produce an electromagnet
The magneto-motive force (mmf) is the product of the current, I, and the number of turns, N; mmf = NI

13. Inductors
An inductor is constructed by coiling a wire around some type of form

14. Dynamics system v − i relationship for inductance

15. Inductor acts as a short circuit for DC

16. We need a resistor

17. Solving the Differential Equation
time required for the inductor to get full current is equivalent to about 5 time constants or 5T.

18. Summary