Two ideal dc voltage sources are connected by electrical

Chapter 4, Problem 4.102

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Two ideal dc voltage sources are connected by electrical conductors that have a resistance of , as shown in Fig. P4.102. A load having a resistance R of moves between the two voltage sources. Let x equal the distance between the load and the source v and let L equal the distance between the sources. a) Show that v = v1RL + R(v2 - v1)x RL + 2rLx 2rx2 b) Show that the voltage will be minimum when x = L v2 - v1 B -v1 ; Av1v2 - R 2rL(v1 -v2) 2 R c) Find x when and d) What is the minimum value of for the circuit of part (c)?

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