Design an active lowpass filter with a gain of 4, a corner frequency of 1 kHz, and a gain roll-off rate of −60 dB/decade. Show the spectral response of your designed filter

a. Suppose a first order high pass filter has a cut-off frequency of 10 kHz and a capacitor of 2.5 nF. What is the value of the resistor?   b. For the filter in (a), what is the gain of the filter at 100 Hz? Express you answer in decibels. (Hint: this requires hardly any calculation.)

Answer the following wuth illustration and solutions. 1.) A second-order band pass filter is to be constructed using RC components that will only allow a range of frequencies to pass above 500Hz and below 1.5kHz. Assuming that both the resistor have values of 1kohms, calculate the values of the two capacitors required. Find also the center frequency of the two frequencies. This is the example/guide that might help.