
Basic Circuit Analysis Combination SeriesParallel Circuits
Section 31 Resistance in Combination Circuits Resistive circuits in the "real world" aren't always strictly series or strictly parallel. In the "real world" of electronics, most circuits are combinations of series and parallel arrangements. Hence the general name, combination circuits. Definition Combination Circuits Combination circuits include both series and parallel connections.  Here are examples of combination circuits: Your objective in this chapter is to learn how to analyze combination circuits. SeriesParallel Combination Circuits Here is one of the two major types of combination circuits. Resistor R_{1} is connected in series with the rest of the circuit. The rest of the circuit, consisting of resistors R_{2} and R_{3}, is a parallel combination. The productoversum equation for total resistance of this circuit is: R_{T} = R_{1} + R_{2}  R_{3} R_{2} and R_{3} are connected in parallel, and their combined resistance of is indicated by R_{2}  R_{3}. Resistor R_{1} is connected in series with R_{2} and R_{3} , and that fact is indicated by the + sign between R_{1} and the other two resistors.  A Simple SeriesParallel Circuit
 ParallelSeries Combination Circuits This is the second of the two major types of combination circuits. Resistor R_{1} is connected in parallel with the rest of the circuit. The rest of the circuit, consisting of resistors R_{2} and R_{3}, is a series combination. The productoversum equation for total resistance of this circuit is: RT = R1  (R2 + R3) R_{2} and R_{3} are connected in seriesl, and their combined resistance of is indicated by R_{2} + R_{3}. Resistor R_{1} is connected in parallel with R_{2} and R_{3} , and that fact is indicated by the  sign between R_{1} and the other two resistors.  A Simple SeriesParallel Circuit
 The circuits you will be analyzing through the remainder of this chapter are extended variations of these two basic combinations. Note Students sometimes question the value of spending so much time solving combination circuits. The real value lies in the analytical skills that you acquire and develop by means of these exercises  skills that apply to much more than analyzing resistor circuits, from testing circuits for the next generation of smart phones our troubleshooting a mainframe computer. 
