s04_cgs

# s04_cgs - be if t> The correct answer is ∞ 1 −∞ t 2...

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RC Circuit Step Response I Find the differential equation that describes the circuit below: + 1F u ( t ) y ( t ) e Press “1” on your PRS remote when you are ﬁnished.

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RC Circuit Step Response I The differential equation that describes the circuit is d e 1 ( t ) + 1 . 5 e 1 ( t ) = u ( t ) dt My answer 1. Was completely correct 2. Was mostly correct, with one or two minor errors 3. Had many errors 4. Was completely incorrect
Limits of Integration The system G has impulse respnse g ( t ) = e 1 . 5 t σ ( t ) If the input to the system is u ( t ) = e t σ ( t ) the output can be found using the convolution integral as y ( t ) = g ( t τ ) u ( τ ) −∞ = e 1 . 5( t τ ) σ ( t τ ) e τ σ ( τ ) −∞ = e ? 1 . 5( t τ ) e τ ? What should the limits of integration be if t > 0 ?

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Limits of Integration I In the integral, y ( t ) = e 1 . 5( t τ ) σ ( t τ ) e τ σ ( τ ) −∞ = e ? 1 . 5( t τ ) e τ ? what should the limits of integration be if t > 0 ? 1. −∞ t 2. −∞ 3. t 4. 0 t 5. 0 0 6. −∞ 0 7. 0
Limits of Integration I In the integral, y ( t ) = e 1 . 5( t τ ) σ ( t τ ) e τ σ ( τ ) −∞ = e ? 1 . 5( t τ ) e τ ? what should the limits of integration

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Unformatted text preview: be if t > ? The correct answer is: ∞ 1. −∞ t 2. −∞ ∞ 3. t ∞ 4. 0 t 5. ♥ 6. −∞ 0 7. 0 Limits of Integration II In the integral, ∞ y ( t ) = e − 1 . 5( t − τ ) σ ( t − τ ) e − τ σ ( τ ) dτ −∞ = e ? − 1 . 5( t − τ ) e − τ dτ ? what should the limits of integration be if t < ? ∞ 1. −∞ t 2. −∞ ∞ 3. t ∞ 4. 0 t 5. 6. −∞ 0 7. 0 Limits of Integration II In the integral, ∞ y ( t ) = e − 1 . 5( t − τ ) σ ( t − τ ) e − τ σ ( τ ) dτ −∞ = e ? − 1 . 5( t − τ ) e − τ dτ ? what should the limits of integration be if t < ? The correct answer is: ∞ 1. −∞ t 2. −∞ ∞ 3. t ∞ 4. 0 t 5. 6. −∞ 0 7. ♥ 0...
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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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s04_cgs - be if t> The correct answer is ∞ 1 −∞ t 2...

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