Problem 1 (short)Problem 2 (medium)Problem 3 (medium)Problem 4 (medium)Problem 5 (short)Problem 6 (medium)Problem 7 (short)University of California College of Engineering Department of Electrical Engineering and Computer Sciences Ben Wild Summer 2002 EE40 – Problem Set #4 Due: July 12, 12pm Problem 1 (short) 5V12kkΩ 1k Ω+ V X – ++++−−−−++++−−−−6k Ω 2k Ω Find VX. (Hint: DO NOT use nodal analysis … that is too much work The only other tricks you know so far are series and parallel resistor formulas and voltage and current dividers.) Problem 2 (medium) ++++ −−−− ++++ −−−− 3V 3k Ω 5k Ω 3k Ω 3mA 2k Ω 2mA 5k Ω 6k Ω 5k Ω (a) Identify a convenient place to put the ground node. Beware, if you select the wrong place to put the ground node, you will create a “floating voltage source.” (b) Label the unknown voltage nodes, excluding the ground node. (c) Write nodal equations at each node. DO NOT simplify your equations.Problem 3 (medium) 1.5k Ω 5k Ω 2.25k Ω 0.4k Ω ++++ −−−− ++++ −−−− 1.8VIxB C 2V ++++−−−−++++−−−− (a) Find Ix without performing Nodal Analysis. (EASY!) (b) Define a reference node (to avoid floating voltage sources) and use nodal analysis to find the voltage difference VC-VB and the current from C to B through the 5K resistor. Problem 4 (medium) 2mA 0.2kΩ 1k Ω 2k Ω 0.4k Ω 100 Ω (a) Identify a convenient place to put the ground node. (b) Label the unknown voltage nodes, excluding the ground node. (c) Write nodal equations at each node. DO NOT simplify your equations. Problem 5 (short) ++++ −−−− ++++ −−−− 3V 8k ΩIX 5k Ω 3k Ω0.3mA 4V ++++ −−−− ++++ −−−− 2k Ω0.5mA+ V X –AB C Look this circuit over very carefully before beginning. The effort depends quite a lot on how you proceed. (After that warning, only a fool would start writing nodal equations!) Hint: Youwill apply KCL and KVL judiciously. And remember no current flows into or out of ground .. it is on the circuit diagram just to indicate the reference for potential. (a) Find VC (b) Find IX (c) Find VB. (Warning: the voltage across a current source is rarely zero!) (d) What is VX? Problem 6 (medium) 6V 4k Ω0.75mA + – + – 3V 6k Ω++++ −−−− ++++ −−−− 4kΩ+vA_ Use Nodal Analysis to find VA and VB. (Yes, numerical values please) Problem 7 (short) 3V 3k Ω5kΩ 2mA+ – + – + – + – 2V3k Ω 6k Ω A B C D A, B, C, and D all have unknown node voltages. Use nodal analysis to find 4 equations sufficient to solve for VA, VB, VC, and VD. DO NOT solve your equations. Problem 8 (medium) Review of Pulse Distortion A 2V pulse of duration10nsec drives one of the signal nodes at the output of your microprocessor. It drives this node, call it node X, through a resistance RX . The capacitance of node X to ground is 1pF. Assume that the voltage at node X much reach a minimum of 1.2 V to be correctly interpreted as a logic 1. (a) What is the maximum value of the resistance RX? (b) At this value of RX what is VX 10nsec after the input pulse is finished (that is 20nsec after the start of the pulse)? + vB
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