Question

6) Use the RC filter to the right. a) (10pts) Find the voltage gain (Vo/Vin) of the circuit for very low frequencies, 12kΩ 10nF V va b) (10pts) Find the voltage gain of the previous answer in dB. c) (40pts) Use the provided semi-log grid to create an idealized Bode magnitude plot of the circuit's voltage gain. Be sure to label the cutoff frequency (Hz) and to properly represent any nonzero slopes.

Answer 1

RC- filter circuit in domain frequency R + Vin(W) jwc vocas Vo (W) = Vicw). (jauc ) juc R+ No cas vican 1 + jw RC tromber Vo(a) Viw) 1 + -j (w function of the Civant

Voltage gain at low frequency vocus I w to Vic) = 1 V. Vi + W0 RC -1 vi Voltage gains at low frequenceses, b 20log Voltage gais (dB = = gologro) = ODB. 1 1 it ju le cu Vocab Vico) I + - Rator) 612k on We as corner frequency 8.833x10 gadis We = RE 12x102x10x109 fa शा 21 Rc fa 2 1.3263 kHz

od Bldec OdB odB/dec lo 3104 loo lo 10 6d) (20pts) Find the circuit's actual voltage gain as a normal ratio and in dB wil. 3263x10 frequency

Actal gain at cutoff frequency Vo 1+ W.)? at w = Wc Vo HE vi i twell vo vi -0.707 ra Gain in dB au log (0.7.7) Vi -3dB vi