Schaum's Outline of Electric Circuits, 6th edition (Schaum's Outlines)
Mahmood Nahvi, Joseph Edminister
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Schaum's Outlines--Problem Solved.
. The enter to the op amp is vd ¼ vþ À vÀ ¼ ð100 sin 2 tÞ10À6 (V). while the op amp operates within the linear diversity, vo ¼ a hundred and five vd ¼ 10 sin 2 t (V). The output should still stay among þ5 and À5 V (Fig. 5-9). Saturation starts off while vo ¼ 10 sin 2 t reaches the 5-V point. this happens at t ¼ 1=12 s. The op amp comes out of 5-V saturation at 68 AMPLIFIERS AND OPERATIONAL AMPLIFIER CIRCUITS [CHAP. five Fig. 5-8 t ¼ 5=12. equally, the op amp is in À5-V saturation from t ¼ 7=12 to 11/12 s. in volts, from.
CHAP. five] AMPLIFIERS AND OPERATIONAL AMPLIFIER CIRCUITS ninety five The circuit is a diﬀerence ampliﬁer. 5.23 locate vo within the circuit of Fig. 5-46. Fig. 5-46 observe KCL at node B. observe that vB ¼ vA ¼ v2 . therefore, v2 À v1 v2 À vo þ ¼0 R1 R2 fixing for vo , we get vo ¼ v2 þ ðR2 =R1 Þðv2 À v1 Þ. 5.24 locate vo within the circuit of Fig. 5-47. Fig. 5-47 The left a part of the circuit has a achieve of ð1 þ R1 =R2 Þ. accordingly, v3 ¼ ð1 þ R1 =R2 Þv1 . utilizing result of challenge 5.23 and substituting for v3 effects.
instance 8.5 A parallel RLC circuit, with R ¼ two hundred , L ¼ 0:28 H, and C ¼ 3:57 mF, has an preliminary voltage V0 ¼ 50:0 V at the capacitor. receive the voltage functionality while the swap is closed at t ¼ zero. ¼ 1 1 ¼ ¼ seven-hundred 2RC 2ð200Þð3:57 Â 10À6 Þ 2 ¼ 4:9 Â one hundred and five on the grounds that !20 > 2 , the circuit parameters bring about an oscillatory reaction. !20 ¼ 1 1 ¼ ¼ 106 LC ð0:28Þð3:57 Â 10À6 Þ CHAP. eight] HIGHER-ORDER CIRCUITS and complicated FREQUENCY !d ¼ 167 qﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃ qﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃ !20.
while HðsÞ is interpreted because the ratio of the reaction (in one a part of the s-domain community) to the excitation (in one other a part of the network). hence, whilst s ¼ zm , the reaction should be 0, irrespective of how nice the excitation; while, whilst s ¼ pn , the reaction might be inﬁnite, regardless of how small the excitation. instance 8.8 A passive community within the s-domain is proven in Fig. 8-13. present IðsÞ because of an enter voltage VðsÞ. IðsÞ 1 ¼ VðsÞ ZðsÞ 5s 20 s2 þ 8s þ 12 three s ZðsÞ ¼ 2:5 þ ¼ ð2:5Þ 5s.
bought. they're the poles of the community functionality. instance 8.10 a similar community as in instance 8.8 is proven in Fig. 8-16. resource VðsÞ is inserted at xx zero . receive the average reaction whilst a Fig. 8-16 The community functionality is equal to in instance 8.8: HðsÞ ¼ ð0:4Þ The ordinary frequencies are then À2 Np/s and À6 Np/s. is of the shape s2 þ 12 ðs þ 2Þðs þ 6Þ as a result, within the time area, the usual or temporary present in ¼ A1 eÀ2t þ A2 eÀ6t 174 HIGHER-ORDER CIRCUITS and intricate FREQUENCY.