Section 06

Multiple Sources What if more than one source in the circuit? How to solve for all currents? Slide 2

KVL and KCL (nodes, loops, planner circuit, voltage drop) then what? To solve for all currents and volts in a circuit: KVL: Kirchhoff’s Voltage Law the algebraic sum of voltages in a loop is zero KCL: Kirchhoff’s Current Law the algebraic sum of currents into a node is zero Slide 3

Circuit Analysis 1.count nodes minus one (possible ground) 2.mark a current for each branch name and direction 3.write KCL equations for each node 4.count the loops 5.write the KVL equations for each loop 6.solve for all unknowns Slide 4

Example Slide         1 2

Example Slide        

Example Slide 7 8 branches  8 currents I 1..I 8  8 equations 4 nodes  4 eqs 4 loops  4 eqs

Impedance treat all passive components as resistors but with complex resistances Electrical EngineeringUmm Al-Qura UniversitySlide 8

Impedance What is the impedance of a 10  F capacitor when operated at 60Hz? What is the impedance of a 2mH inductor when operated at 60Hz? Electrical EngineeringUmm Al-Qura UniversitySlide 9

Example Electrical EngineeringUmm Al-Qura UniversitySlide 10

Solution Electrical EngineeringUmm Al-Qura UniversitySlide 11

Simulation Solution Electrical EngineeringUmm Al-Qura UniversitySlide 12

Current Source Voltage Source Generates constant volt regardless of the load Current Source Generates constant current regardless of the load Electrical EngineeringUmm Al-Qura UniversitySlide 13

KVL & KCL Electrical EngineeringUmm Al-Qura UniversitySlide 14 vxvx  

Example Electrical EngineeringUmm Al-Qura UniversitySlide 15

Power Power = rate of energy transfer measured in Watts (W) Electrical EngineeringUmm Al-Qura UniversitySlide 16

Process Check Solve the circuit shown and find the power consumption of each component Electrical EngineeringUmm Al-Qura UniversitySlide 17

Solution (1) Electrical EngineeringUmm Al-Qura UniversitySlide 18

Solution (2) Electrical EngineeringUmm Al-Qura UniversitySlide 19

Total Power = 0 Electrical EngineeringUmm Al-Qura UniversitySlide 20 Total Power = Zero