4. An active filter comprising an ideal operational amplifier (OpAmp), a capacitor, an inductor and various resistors is
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4. An active filter comprising an ideal operational amplifier (OpAmp), a capacitor, an inductor and various resistors is
4. An active filter comprising an ideal operational amplifier (OpAmp), a capacitor, an inductor and various resistors is represented in Figure 4. V1 Op Amp V2 V3 HI 100uF Vin 1.00mH R1 R3 R4 10022 R2 1kΩ 10092 1kΩ Figure 2 V2 V1" (a) Determine the symbolic and numerical values for the gain of the amplification A (5 marks) Vi Vin V3 V2 (ii) c) V3 Vin (b) Determine the type of filter and cut-off frequency (both symbolic and numerical) for the responses (1) H4 = Hz (10 marks) Determine the overall frequency response H = as well as (1) Type of filter Max gain (5 marks) (d) Considering an input Vin = 1V.cos(27tfot), write down an expression for the sinusoidal output when (i) fo = 16 Hz (ii) fo = 16 kHz (5 marks)
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