EK307HW9AFall2009

EK307HW9AFall2009 - Electric Circuit Theory HW #9 Fall 2009...

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Electric Circuit Theory – HW #9 – Fall 2009 Note: These problems will be due on the last day of class. This material will be covered on the Final Exam. Problem 1) For each of the circuits shown below, v IN = V o cos ω t , hence v IN ( t ) can be expressed as a phasor V in = V o e j t ± Determine the phasor for v OUT ( t ) for each of the following circuits. ± Draw the Bode Plot of the magnitude | v OUT / v IN | if V o = 10 V, R 1 = 1 k , R 2 = 10 k , and C 1 = 1 µ F Problem 2) For each of the circuits shown below, v IN = V o cos t , hence v IN ( t ) can be expressed as a phasor V in = V o e j t ± Determine the phasor for v OUT ( t ) for each of the following circuits. ± Draw the Bode Plot of the magnitude | v OUT / v IN | if V o = 10 V, R 1 = 100, R 2 = 10 , and L 1 = 10 H. Problem 3) Maxwell’s Capacitor revisited. The circuit shown below may be found inside any common 10 × oscilloscope probe. a) Derive an expression for the phasor V 2 as a function of V o and ω . b) Suppose that R 1 = 9 R 2 . For what ratio of C 1 to C 2 will V 2 be frequency independent? v OUT v IN R 1 C 1 v OUT v IN R 1 C 1 R 2 v OUT v IN R 1 C 1 R 2 (a) (b) (c) v OUT R 1 L 1 v OUT R 2 v OUT R 1 R 2
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This note was uploaded on 12/29/2009 for the course ENG EK 307 taught by Professor Horenstein during the Spring '09 term at BU.

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EK307HW9AFall2009 - Electric Circuit Theory HW #9 Fall 2009...

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