The networks in parts (a) and (b) of Figure 2.23 show two resistors coupled in series and in parallel, respectively. We wish to find a general formula for the effective resistance of each network-that is, find Reff such that E = Reffl.
(a) Show that the effective resistance Reff of a network with two resistors coupled in series [Figure 2.23(a) J is given by
Reff = R1 + R2
(b) Show that the effective resistance Reff of a network with two resistors coupled in parallel [Figure 2.23(b)] is given by

(a)

(b)

Figure 2.23
Resistors in series and in parallel

Transcribed Image Text:

RE R R2 Ri