240_homework_3_soln - ECE 240 Electrical Engineering...

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ECE 240 – Electrical Engineering Fundamentals Solutions to Homework #3 1. Select the bottom node to be ground. Define the node voltages, V 0 , V 1 , and V 2 across the top from left to right. Then: V 0 1 + V 0 V 1 1 = 0 4 = V 1 V 0 1 + V 1 V 2 2 V 2 V 1 2 + V 2 4 + 2 = 0 V 0 = 2 2. Select the bottom node to be ground. Define the node voltages, V 1 , V 2 , and V 3 across the top from left to right. Then: V 1 = 12 V 2 V 3 = 2 V a 0 = V 2 V 1 2 + V 2 4 + V 3 6 V a = V 1 V 2 V 0 = V 3 = 0 3. Select the bottom node to be ground. Define the node voltages, V 1 in the middle and V 2 , and V 3 across the top left and right, respectively. Then: V 2 = 21 V 3 = 42 0 = V 1 V 2 4 + V 1 4 + V 1 V 3 12 V 1 = 15 I 0 = V 1 4 = 15 4 4. Select the bottom node to be ground. Define the node voltages, V 1 on the left and V 0 , on the right. Then: V 1 = 12 4 = V 0 V 1 2 + V 0 4 + V 0 2 V 0 = 8 5. Select the bottom node to be ground. Define the node voltages, V 1 , V 2 , and V 3 across the top from left to right. Then:
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V 1 = 12 V 3 V 2 = 24 0 = V 3 4 + V 2 4 + V 2 V 1 2 + V 3 V 1 8 V 1 = 12, V 2 =
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