1. ELL100: INTRODUCTION TO ELECTRICAL ENG.
Resistor, Inductor, and Capacitor
Course Instructors:
J.-B. Seo, S. Srirangarajan, S.-D. Roy, and S. Janardhanan
Department of Electrical Engineering, IITD

2. SI (System International) units:

3. Derived Quantities:

4. Charge
An electrical property of the atomic particles of which matter consists, measured in coulombs (C)
- equal in magnitude to

5. Charge
An electrical property of the atomic particles of which matter consists, measured in coulombs (C)
- equal in magnitude to
In 1 C of charges,
The law of conservation of charges
- neither be created nor destroyed, only transferred
- The algebraic sum of the electric charges in a system
does not change

6. Current The time rate of change of charge, measured in Ampere
Direct current (dc)
: a current that remains constant with time
Alternating current (ac)
: a current that varies sinusoidally with time

7. Voltage & Power An electric circuit
- an interconnection of electric elements (battery, lamp, etc.)
Voltage between two points a and b in an electric circuit
- the energy (work) needed to move a unit charge from a to b
Power is the time rate of expending or absorbing energy

8. Definitions
(Voltage per meter)

9. Definitions
velocity

10. Definitions
Magnetic flux (Weber)

11. Electrical Power and Energy

12. Figure: Current and power
Example 1
The “electron gun” of a cathode-ray tube provides a beam of high- velocity electrons.
If the electrons are accelerated through a potential difference of 20,000 V over the distance of 4 cm (as shown in Figure), calculate the average field strength.
Calculate the power supplied to a beam of 50 million billion electrons per second.
Figure: Current and power

13. Example 1

14. Example 1

15. Resistance (Ohms Law)

16. Capacitance

17. Inductance

18. Figure: Current-voltage relations in a capacitor
Example 2
A current varied as a function of time as shown in Figure. Predict and plot the voltage produced by this current flowing in an initially uncharged 1 µF capacitor.
Figure: Current-voltage relations in a capacitor

19. Example 2

20. Circuit Diagram Convention I

21. Circuit Diagram Convention II

22. Circuit Diagram Convention III
Branch
- Path containing one or more elements that connects two
nodes
Node
- Terminal common to two or more branches of a circuit
Loop
- Closed path progressing from node to node and returning
to the starting node.

23. Circuit Elements I

24. Circuit Elements II

25. Circuit Elements II

26. Circuit Elements II

27. Energy Storage in Linear Elements I

28. Energy Storage in Linear Elements II

29. Energy dissipation in Linear elements

30. Continuity of stored energy

31. Example 3

32. Energy sources and Reversible transforms I

33. Energy sources and Reversible transforms I

34. Circuit Diagram Convention III