Question

1. (15%) Consider the two circuits: (A) Vout (B) Vin - LC 0001 1 - Vout + Vout a. What is Haljw) = Vin for circuit (A)? b. What is lim Haliwą c. What is lim Ha(jw)? HOG HB(jw) = _Vout d. What is Vin for circuit (B)? e. What is Jim He(jw), f. What is lim HB(jw)?

Answer 1

Sovepon: A) (a) The given time domain cir wit as converted no frequenog domain and it is shown below. o Voutiles Fig: ciswit in frequencap domain. Assume the given op Amp is an ideal of Anp. f so ut=r From carwit, vtsov, :. stor Apply Ker at Node J. - Vios tus at your 13w) ao R2- I R .-ING on verlows too Yout 13w0 =0 R2 (1-3 RI (1-3 ) งๆ WRgC2 а Your Ow) - - - Ver to Bill-I R2(1- Rich) vootsisay = - Roz ( 1 JURA Voyo) Whica

Halju) = Vost = – P2 {1+ / - - B2 x WRACA (1+ J W P2 (2) R. HA ja = voor = - 1 x (1 + 3 W R2 (2] It J WRIG HA ) = -6 Vit w²2:22 Vitwa Rica =-4 ezt to lion 1415w)) = K to 1 x V 2 2 2 2 + 1 / 2 Wassan Wa JAZZ LP c) taro ( 15)) = Lito ay sa w 2 2 2 2 ² wasols Vit G2 R² CZ

= tem nagy our3432 VIA FR2G2 -4 : Lim HAIIW)) - 4 Wo d) The gives tirse desain cirwit is converted posto requerez domain Varga sm o Vout 15 m) Jwc ou - figi circuit in grequest cas domain Applag kch at Node u. onkin jo ton vouw) o Jolt Vout Uw = - B VidWw) =- j w RC V2130) JWLt hoc I-WELC. Vouti) = -jw Re Vi ljw) -WELL HelJw) = . WRC es BÚws) = WRC 1-W²LL

Holows) = WRC 62 ( 13 - 26) RC Re. WE 1 2 Lc.) Вс [22 - LC] Lim how) - Lim Wa ا ما هددا : Lim stw) = 0 I WA lim tego - lim WHO WRC - WLC GIRL - 0 -ALL Lim Haw) = wyo