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1. For the circuits shown in Figs. 3(a) and 3(b), derive the transfer functions in the following forms LP UL and express wL, WH, KL and KH in terms of resistors and capacitors HP Figure 3: First order (a) lowpass filter (b) highpass filter The frequencies wL and wH are known as: . Pole frequency, defined as the root of the denominator of H(s) . Corner frequency, defined as the frequency at which the gain is 0.707 times the passband value . Half power frequency (compared to passband), since 0.7072 0.5 ·3dB frequency (compared to passband), since 20 log10(0.707) =-3dB 2. Find R1, R2. Rs, C1, C2, and C3, such that fL-fy-5 kHz and KL-Ky = 0.5 3. Sketch the magnitude and phase Bode plots for HiP(s) and HHP(s) 4. Calculate the output voltages VLP(t) and VHP(t) for V, (t) = 0.4 sin (2n4000 t) 5. Repeat step 4 for V,(t)=0.3sin(2n6000t)

Answer 1

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