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High Pass Filter RL circuit: Time/Frequency Response

  • Engineering
  • Thread starter aznkid310
  • Start date
  • #1
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Homework Statement



For circuit B on page 2, find:

a) the time domain response v0 for a unit step input
b) input/output transfer function T(s) = v0/v_in
c) plot v0 vs. time
d) plot sinusoidal steady state vs. frequency: the magnitude in dB and phase in degrees of T(s)


Homework Equations



I'm getting stuck am an not sure how to proceed. Can someone check my work and also guide me along?


The Attempt at a Solution



a)R_thev = (2.2k)(1k)/(2.2k + 1K) = 687.5 ohms

V = 2.2k*v_in/(1k + 2.2k) [voltage divider]

tau = time constant = L/R_thv = 1.45454e-5

Then vo = .6875(1-e^(-t/tau)) = .6875(1-e^(-68750t)) assuming v_in = 1

T(s) = v0/v_in, where v0 = Z_eq/(Z_eq + 1K), Z_eq = (jwL)(2.2k)/(jwl + 2.2k)

My problem is converting this into a usable form to graph.
 

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