1. Electric Circuits (EELE 2312)
Chapter 2 Some Circuit Simplification Techniques
Dr. Basil Hamed

2. 2.1 Combining Resistors in Series And Parallel
Resistors in Parallel
Basil Hamed

3. 2.1 Resistors in Series
When just two circuit elements connect at a single node, they are said to be in series. Series-connected circuit elements carry the same current.

4. 2.1 Resistors in Parallel
When two elements connect at a single node pair, they are said to be in parallel.
Parallel-connected circuit elements have the same voltage across their terminals.

5. 2.1 Resistors in Parallel Special Case

6. Example 2.1 Applying Series-Parallel Simplification
Find is, i1, and i2 in the circuit shown.

7. 2.2 Voltage and Current Dividers
The Voltage-Divider Circuit
The Current-Divider Circuit
Basil Hamed

8. 2.2 The Voltage-Divider Circuit
In electronic circuits, developing more than one voltage level from a single voltage supply is necessary. The voltage-divider circuit offers such possibility.

9. Example 2.2 Analyzing the Voltage-Divider Circuit
The resistors used in the voltage-divider circuit shown have a tolerance of ±10%. Find the maximum and minimum value of the output voltage.

10. 2.2 The Current-Divider Circuit
The current-divider circuit is used to divide the current between two resistors connected in parallel

11. Example 2.3 Analyzing the Current-Divider Circuit
Find the power dissipated in the 6Ω resistor shown.

12. 2.3 Source Transformation

13. Example 2.4 Using Source Transformation to Solve a Circuit
Find the power associated with the 6 V source.
State whether the 6 V source is absorbing or delivering power calculated in (a).

14. 2.3 Source Transformation

15. Example 2.5 Using Special Source Transformation Techniques
Use the source transformation to find the voltage vo in the circuit shown.
Find the power dissipated in the 250 V source.
Find the power developed by the 8 A current source.

16. 2.4 Superposition

17. Example 2.6 Using Superposition to Solve a Circuit
Use the principle of superposition to find vo in the circuit shown.

18. End of Chapter Two