Solve for the First Order LTI System of the Passive Low Pass Filter circuit, Transfer Function, and Total Response (Natural and Forced Response), all of the values that need to be solved of the circuit below. Also explain the waveform of the circuit. PR1 R2 2 1 PR2 5002 V1 С1 1V 1kHz 2.2µF 0° (+)

a) Compute the transfer function T(w), the absolute value, and phase at resonant frequency.   b) What kind of filter is this?     Please answer in typing format please ASAP

Problem 10. Given the following circuit with the following values: R2 & R3 = 10 kn, R1 = 33 kQ, C1 = 0.01 µF. Find: a) What kind of filter is this? Circle your answer: R High-pass Low-pass Band-pass Band-reject Is this circuit inverting or non-inverting? What is the overall transfer function? What is the break or half power frequency? What is gain (in dB) at the half-power frequency? What is the slope of the filter's roll-off (in dB per decade)? R₁ VIN- www R3 ww R₂ VOUT

Hello. I'm not sure how to get this practice problem going. Could you help? Thank you.  Design 1st-order low-pass filters with cutoff frequency fc = 2 kHz and DC gain of  1 and  5. Inverted or not doesn’t matter. Use a 10 nF capacitor. (i) Draw the circuits, (ii) write the transfer functions and (iii) find the other component values. Don’t make it more complicated than it needs to be!