s09_concept

# s09_concept - RC Circuit Equations II e1 C1 R2 e2 R4 R3 e3...

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RC Circuit Equations II C 1 C 5 R 2 R 3 R 4 e 1 e 2 e 3 For the circuit above with R 2 = R 3 = R 4 = 1 Ω , C 1 = C 5 = 1 F , there is an exponential solution of the form st e ( t ) = Ee only if there is a non-trivial (i.e., nonzero) solution to the equations ⎤⎡ s + 1 1 0 E 1 0 1 3 1 ⎦⎣ E 2 = 0 0 1 s + 1 E 3 0 For what values of s are there nontrivial solutions?

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RC Circuit Equations II Concept Test For what values of s are there nontrivial solutions to the equations ⎤⎡ s + 1 1 0 E 1 0 1 3 1 ⎦⎣ E 2 = 0 0 1 s + 1 E 3 0 My conﬁdence in my answer is: 1. 0% 2. 20% 3. 40% 4. 60% 5. 80% 6. 100%
RC Circuit Equations II Concept Test There are nontrivial solutions to the equations ⎤⎡ s + 1 1 0 E 1 0 1 3 1 ⎦⎣ E 2 = 0 0 1 s + 1 E 3 0 for values s that satisfy the characteristic equation φ ( s ) = 3 s 2 + 4 s + 1 = (3 s + 1)( s + 1) =

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## This note was uploaded on 01/28/2012 for the course AERO 16.01 taught by Professor Markdrela during the Fall '05 term at MIT.

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s09_concept - RC Circuit Equations II e1 C1 R2 e2 R4 R3 e3...

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