# hw2 - University of California Berkeley EE 42/100 Spring...

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University of California, Berkeley Spring 2010 EE 42/100 Prof. A. Niknejad Problem Set 2 Due Friday (5pm), September 17, 2010 1. Simplify the following network to a single equivalent resistance and express the equivalent resistance in terms of R . 2. Find the equivalent input resistance for the following infinite "ladder network". ( Hint: use recursion). 3. Suppose you have a 120 V DC voltage supply and two resistors R 1 and R 2 . You want to be able to arrange these circuit elements in two different configurations such that in one configuration the resistors dissipate a total of 2400 Watts, while in the other configuration they dissipate a total of 300 Watts. Both configurations must make use of both resistors. (a) Sketch the circuit schematic for each configuration and give the required values of R 1 and R 2 . (b) In addition to the voltage supply and the two resistors you are allowed to use two ideal switches, sketch a single circuit schematic that is equivalent to either configuration from part (a) depending on the state of the switches. (c) Illustrate which state the two switches have to be in so as to recover each of the two configurations from part (a).

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4. Find the currents and voltages associated with the resistors in the following circuit. Do not
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