(Solved): a) Using LM741 or AD744 opamp build the low-pass filter above, where R1 = 2K, R2 = 10K and ...

a) Using LM741 or AD744 opamp build the low-pass filter above, where R1 = 2K?, R2 = 10K? and C = 47nF and supply voltage of the opamp is ±10V. b) Calculate its cutoff frequency theoretically. c) What is the gain of the circuit in terms of a complex number when Vi = 2V (peak-to-peak) at cutoff frequency? Calculate it. d) What is the absolute value of the gain of the circuit when Vi = 2V (peak-to-peak) at cutoff frequency? Calculate it. e) What is the absolute value of the gain of the circuit in terms of dB when Vi = 2V (peak-to-peak) at cutoff frequency? Calculate it. f) Use LTspice and demonstrate Bode plot for the gain of the circuit for the frequencies ranging from 1 Hz to 10 KHz. Demonstrate the cut-off frequency on the Bode plot by marking it. g) What is the gain of the circuit in terms of a complex number when Vi = 2V (peak-to-peak) at 10 Hz? Calculate it. h) What is the gain of the circuit in terms of a complex number when Vi = 2V (peak-to-peak) at 2 KHz? Calculate it. i) What is the absolute value of the gain of the circuit theoretically when Vi = 2V (peak-to-peak) at 2 KHz? Calculate it.