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Quiz 1 Solution

# Quiz 1 Solution - R = 66 Ω 66 Ω{1/66 Ω 1(66 Ω 66 Ω-1 4...

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ME 340‐Fall 2010, Quiz 1 Solution, September 23, 2010 1. The battery charger and battery shown are both rated at voltage V = 12 V. During charging of the initially discharged battery, the current i = 9 exp(‐ 8.7 t) A, where time constant 8.7 has units hr ‐1 . Estimate the energy in the battery, after charging for 2 hr. Be sure to include any necessary units in your answer. 2) The battery of question 1 absorbs power. Thus its power v i is negative, true or false. FALSE 3) For the figure shown, all resistors are identical with value 66 Ω . Determine the equivalent resistance in ohms, for the circuit, looking into terminals A-A'.
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Unformatted text preview: R = 66 Ω + 66 Ω + {1/66 Ω + 1/(66 Ω + 66 Ω )}-1 4) For the figure shown, if the current source I = 2.6 A, determine the absolute value of the nodal voltage Vo and enter your answer into the blank space. You do not include units in your answer. Apply KCL @ node 1: (Vo – V1)30 – V1/30 – 2.6 A = 0 Apply KCL @ node 0: - Vo/30 -(Vo – V1)30 = 0 Solve: Vo = -26 V, V1 = 2 Vo= -52V 5) For question 4, voltage V o is positive with respect to ground, true or false. FALSE E = (12 V 2 hr ∫ ) 9 e − 8.7 t A ( ) dt = 108 e − 8.7 t − 8.7 2 hr = 12.41 W...
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