Q:

1. The op amp circuit below is a VCVS second-order high-pass filter whose transfer function is

and for given values of a, b, and desired cutoff frequency ? _c, we can calculate the values of C _1, C ₂, R ₁, R _2, R ₃, and R ₄ to achieve the desired cutoff frequency ? _c.

For this circuit,

and the gain K is

Using these relations, compute the appropriate values of the resistors to achieve the cutoff frequency f _c=1 KHz. Choose the capacitors as C ₁=10/f _c ?F and C ₂=C ₁. Plot G(s) versus frequency.

Solution using MATLAB is highly recommended.

Q:

2. The op amp circuit below is a VCVS second-order band-pass filter whose transfer function is

Let ? ₀=center frequency, ? ₂=upper cutoff frequency, ? ₁=lower cutoff frequency, Bandwidth BW= ? ₂ ? ? ₁, and Quality Factor Q= ? ₀/BW

We can calculate the values of C ₁, C ₂, R ₁, R ₂, R ₃, and R ₄ to achieve the desired centered frequency ? ₀ and bandwidth BW. For this circuit,

Using these relations, compute the appropriate values of the resistors to achieve center frequency f ₀=1 KHz, Gain K=10, and Q=10.

Choose the capacitors as C ₁=C ₂=0.1 ?F. Plot G(s) versus frequency.

Solution using MATLAB is highly recommended.