Derive an expression for Vout as a function of v₁ and v2 for the circuit represented in Fig. 1. 21 2/2 R₁ R₂ R3 Fig. 1. Rf w Vout

Current Dividers 1.1 lem 1.10 Current dividers play an important role in circuit design. (c) Therefore it is important to develop a facility for dealing with current dividers in circuit analysis. Figure P1.10 shows a two- resistor current divider fed with an ideal current source /. Show that R2 R+R2 3 V R R,+R2 and find the voltage / that develops across the current divider. Fig 1.15 find betw flow node R2 Figure P1.10

R₁ AS Vs R₂ VTH= R3 R4 RL RTH= VTH B Figure 1a) Simple circuit to be analyzed Figure 1b) Thevenin's equivalent of Fig. 1a) 1.- A simple Circuit. Determine the Thevenin's equivalent of the circuit given in fig. 1a). Consider the following values: R₁ = 24092, R2 = 2700, R3 = 56092, R4 = 1k2, and Vs = 10 V. Show all your calculations on your own handwritten. Indicate the units. RTH RL 23

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1.15 Through repeated application of Thévenin's theorem, find the Thévenin equivalent of the circuit in Fig. P1.15 between node 4 and ground, and hence find the current that flows through a load resistance of 3 k2 connected between che node 4 and ground. ple 1 20 k2 2 20 k2 3 20 k2 4 ide est pe? 10 V 20 k2 20 k2 20 k2 er? che wo Ive Figure P1.15 It: *** = very challenging: D = design problem