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100_2007_fa_midterm2

# 100_2007_fa_midterm2 - in the diagram above delivers...

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Score summary (leave blank): P1: _____ P2: _____ P3: _____ P4: _____ P5: _____ Total: _____ Name: ___________________________ SID: ___________________________ Name of student behind you: ____________________________________ Name of student in front of you: ____________________________________ UNIVERSITY OF CALIFORNIA College of Engineering Department of Electrical Engineering and Computer Sciences Midterm 2 EECS 42/100 B. E. BOSER FALL 2007 Closed book, closed notes. No calculators. Leave packs and with books and cell phones in isle. Copy your answers into marked boxes on exam sheets. Simplify numerical and algebraic results as much as possible. Up to 10 points penalty for results that are not reasonably simplified. Mark your name and SID at the top of the exam and all extra sheets. Be kind to the graders and write legibly. No credit for illegible results. No credit for multiple differing answers for same problem. 1

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Problem 1 [20 points] The current source i(t) in the diagram above delivers current

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Unformatted text preview: in the diagram above delivers current I 1 for ≤ t ≤ T and I 2 for t>T . For t<0 the current is zero. Derive algebraic equations for the power p 1 (t) delivered by the current source for ≤ t ≤ T and the power p 2 (t) delivered for t>T . p 1 (t) = p 2 (t) = 2 Problem 2 [20 points] In the circuit shown above the switch is in position (a) for t<0 and in position (b) for t ≥ . Find an algebraic expression for v x (t) for t ≥ . v x ( t ) = 3 blank 4 Problem 3 [20 points] Find an algebraic equation for the imaginary part of Z in (j ω ) . Im{Z in } = 5 Problem 4 [20 points] Derive an equation for the transfer function ?(±²) = ௏ ೚ (௝ఠ) ௏ ೔ (௝ఠ) . H(j ω ) = 6 blank 7 Problem 5 [20 points] Draw the Bode plot (magnitude and ) th llowing transfer function: phase of e fo ?(±) = ²± 1 − ± ³ ଵ for ² = ଵ ଵ௞௥௔ௗ/௦ and ³ ଵ = −10´µ¶·/± in the semilog paper provided below. Mark the axes (units and tick values). 8...
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100_2007_fa_midterm2 - in the diagram above delivers...

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