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HW6solns

# HW6solns - E245B HW#6 Problem 5.64 For the network in...

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E245B HW #6, 10/25/01 Problem 5.64 For the network in Figure P5.64 choose C such that 10 os v v dt =- Vs + - Rs=10K 70K C R L v o + - Figure P5.64 Suggested Solution Rs C R L v o + - i 1 i 2 0

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e 12 ee e 10 10 R 7 0 80 0 1 RR , 1 R 1.25 10 os q so qq q R sK v v dt R sKK ii v dv C v d tC So C CF m =Ω =- = += = - = - =⇒= Using ideal op-amp assumptions, Problem 6.5 In the network in Fig P6.5, find i 0 (t) for t>0 using the differential equation approach. 2H 6 t=0 2A 4 i 0 (t) Suggested Solution 32 (0 ) 2 A 3 63 L i -  ==  +  using current division () 1 0 ( )0 o o d it L dt 1 064 =+ 5 2 ( ) A t o i t Ke - ∴= 1 0 10 5 2 L So, 2 2 (0) 3 o iK
Then, 5 2 ( ) A, 0 3 t o i tet - = Problem 6.21 Use the differential equation approach to find i 0 (t) for t > 0 in the circuit in Fig. P.21 and plot the response including the time interval just prior opening the switch. 3 k 50 μ F 4 k t=0 12 V 12 k 12 k 8 k i 0 (t) Suggested Solution R 1 C t=0 12 V R 5 i 0 (t) R 4 R 6 R 2 R 3 V C (t) + - - V C (t) + 12 V R B R A i X (t) R 1 1 2 5 3 46 3 k R =R =4 R =R =12 R =8 0.0 5 3 6 AB R C m F R k Rk =

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HW6solns - E245B HW#6 Problem 5.64 For the network in...

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