Series and Parallel Circuit Elements PDF

Series and Parallel Connection of Circuit Elements 1 2 3 I V1 V2 V3 4 Example 1: 5 6 7 8 9 10 11 12  Series and Parallel Resistors  Two or more resistors are in series if they are casca...

Series and Parallel Connection of Circuit Elements 1 2 3 I V1 V2 V3 4 Example 1: 5 6 7 8 9 10 11 12  Series and Parallel Resistors  Two or more resistors are in series if they are cascaded or connected sequentially and consequently carry the same current through them.  Two or more resistors are in parallel if they are connected to the same two nodes and consequently have the same voltage across them. 13 Series Resistors Voltage Division I R1 R2  To determine the voltage across each resistor we use: V1 V2  The voltage is divided among V the resistors in direct proportion to their  The equivalent resistance of any number of resistances. resistors connected in series is the sum of the individual resistances. 14 Parallel Resistors Current Division I  For two resistors in parallel, the I1 I2 resistors will have current, V R1 R2 15 Examples  Find Req by combining the resistors. 16 1. 2. 3. 4. 5. 17 Examples  Calculate the equivalent resistance Rab in the circuit. 18 The 3Ω and 6Ω resistors and 12Ω and 4Ω are in parallel because they are connected to the same two nodes c and b , and d and b. Their combined resistance is 2Ω + 1Ω = 3Ω 19 Practice 1: Find Req 20 Practice 2: Find Rab 21 Inductors in Series Capacitors in Series Capacitors in Parallel Inductors in Parallel 22 DA1 6Ω 3Ω 5Ω 2Ω 7Ω 7Ω 23