(a) For a series RL high pass filter, (i) sketch the circuit and derive the circuit's transfer function. Then, determine the equation for cutoff frequency in the series RL circuit. (ii) choose R in the range of 100 N – 500 N and calculate L that will yield a high pass filter with cutoff frequency 15 kHz.

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QUESTION 4
(a)
For a series RL high pass filter,
(i)
sketch the circuit and derive the circuit’'s transfer function. Then, determine the
equation for cutoff frequency in the series RL circuit.
(ii)
choose R in the range of 100 N - 500N and calculate L that will yield a high
pass filter with cutoff frequency 15 kHz.
(b)
The RLC circuit in Figure Q4(b) is used for a compensator in a system design.
(i)
Obtain the transfer function H(s) = Vo(s)/s) of the circuit.
(ii)
The transfer function is then modify and become:
4s(s + 40)
(s + 8)(s + 4)(s + 200)
H(s) =
Sketch the Bode magnitude and phase plot for the transfer function.
/2s
lo
ww
+
4Ω
Vs
Vo
Figure Q4(b)
ww
ww
Transcribed Image Text:QUESTION 4 (a) For a series RL high pass filter, (i) sketch the circuit and derive the circuit’'s transfer function. Then, determine the equation for cutoff frequency in the series RL circuit. (ii) choose R in the range of 100 N - 500N and calculate L that will yield a high pass filter with cutoff frequency 15 kHz. (b) The RLC circuit in Figure Q4(b) is used for a compensator in a system design. (i) Obtain the transfer function H(s) = Vo(s)/s) of the circuit. (ii) The transfer function is then modify and become: 4s(s + 40) (s + 8)(s + 4)(s + 200) H(s) = Sketch the Bode magnitude and phase plot for the transfer function. /2s lo ww + 4Ω Vs Vo Figure Q4(b) ww ww
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