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# hmwk 4 sol - EECS 314 Fall 2006 HW 04 Problem 1 Student's...

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EECS 314 Fall 2006 HW 04 Problem 1 Student's name ___________________________ Discussion section # __________ (Last name, first name, IN INK) nd ams, 2 ight how your work. The voltage source V S in series with a resistor R S , as shown on the left top a on the center top diagr is equivalent to the current source I S in parallel with the same resistor R S , shown on the right top diagram, provided that V S = I S R S . Replacing a source with its equivalent is called “source transformation”; it is a good way to solve many circuit problems, especially the “ladder” circuits such as shown on the bottom diagram on this page. When you apply the source transformation, it is a good idea to redraw the circuit each time you replace a source with its equivalent. Note that, according to KCL, a parallel combination of current sources I 1 and I 2 with parallel resistors R 1 and R 2 is equivalent to one current source I 1 +I 2 and one resistor R 1 || R 2 . Also, according to KVL, a series combination of voltage sources V 1 and V with series resistors R 1 and R 2 is equivalent to one voltage source V 1 +V 2 and one resistor R 1 +R 2 . Use the source transformation to reduce the circuit shown on this diagram to its Thevenin equivalent (top left circuit on this page), and to its Norton equivalent (top r diagram on this page) . S Alexander Ganago September 22, 2005

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