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. C V1 OpAmp V3 HH V2 V L + 100uF Vin 1.00mH R1 + n R3 R4 10022 R2 1kΩ 10092 1kΩ Figure 4 (a) Determine the symbolic and numerical values for the gain of the amplification A = ? V2 = (5 marks) Vin V2 (b) Determine the type of filter and cut-off frequency (both symbolic and numerical) for the responses V1 (i) H = (ii) Hz = (10 marks) (c) Determine the overall frequency response H = as well as Vin (i) Type of filter (ii) Max gain (5 marks) V3 (d) Considering an input Vin = 1V.cos(2nfot), write down an expression for the sinusoidal output when (i) fo = 16 Hz (ii) fo = 16 kHz (5 marks)
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