ECE201 Lect-81 Circuits with Resistor Combinations (2.6, 7.7) Prof. Phillips Jan 31, 2003

ECE201 Lect-82 Solving Circuits with Series and Parallel Combinations The combination of series and parallel impedances can be used to find voltages and currents in circuits. This process can often yield the fastest solutions to networks. This process may not apply to complicated networks.

ECE201 Lect-83 Series and Parallel Impedances Impedances are combined to create a simple circuit (usually one source and one impedance), from which a voltage or current can be found Once the voltage or current is found, KCL and KVL are used to work back through the network to find voltages and currents.

ECE201 Lect-84 1k  2k  1k  2k  1k  +–+– 10V + – V1V1 + – V3V3 + – V2V2 Example: Resistor Ladder Find V 1, V 2, and V 3

ECE201 Lect-85 1k  2k  1k  2k  1k  10V + – V1V1 + – V3V3 + – V2V2 Example: Resistor Ladder Find an equivalent resistance for the network with V 1 across it, then find V 1 using a voltage divider. +–+–

ECE201 Lect-86 1k  10V + – V1V1 Example: Resistor Ladder +–+–

ECE201 Lect-87 1k  2k  1k  2k  1k  10V + – 5V + – V3V3 + – V2V2 Example: Resistor Ladder Find an equivalent resistance for the network with V 2 across it, then find V 2. +–+–

ECE201 Lect-88 Example: Resistor Ladder 1k  2k  1k  10V + – 5V + – V2V2 1k  +–+–

ECE201 Lect-89 1k  2k  1k  2k  1k  10V + – 5V + – V3V3 + – 2.5V Example: Resistor Ladder +–+–

ECE201 Lect-810 Class Examples