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(11 points) An active Sallen Key hi pass filter in its canonical form is shown i

ID: 2291106 • Letter: #

Question

(11 points) An active Sallen Key hi pass filter in its canonical form is shown in the figure, with resistors of one ohm each and where the capacitor on the left is 1.4142 F and the capacitor on the right is 0.7071 F. If we want to use 8 kilo ohm resistors instead and we need it to have a cut off frequency of 13 kilo hertz, what should be the values for the two capacitors. C2 in out R2 Note: In this problem, you may only submit numerical answers. (i.e. If 4 is the correct answer, 4 will be marked as correct, but 2+2 will be marked as incorrect.)

Explanation / Answer

Sallen key high pass filter having cutoff frequency (f) = 1/sqrt(2*pi*R1R2C1C2)

For R1 = R2 = R = 8k ohms , C1 = C2 = C = ?

Cutoff frequency (f) = 1/(2*pi*R*C)

C = 1/(2*pi*8k*13k)

C1 = C2 = C = 1.53 nF