U(t) (t) -U T 1. (t) (t)
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1 Prof. Dr.-ng. F. Schuber Digial ircuis Exercise. () () A () - T T The highpass is driven by he square pulse (). alculae and skech A (). = µf, = KΩ, = 5 V, T = T = ms. Exercise. () () A () T T The highpass is driven by he pulse (). alculae and skech A (). = nf, = KΩ, = 5 V, T = T = µs. Exercise.3 E () E () A () T D Dimension he highpass for a pulse source E () wih he square pulse in ha way, ha - he oupu has he mos possible low impedance, - he load of he source is always lower han 50 ma and - he pulse il d of he oupu volage A () is lower han one percen. hoose values for N and N from he E-series ( N = 80 Ω, N =560 nf). = 50 Ω, = 0 V, T D = µs. (E-series:,0/,/,5/,8/,/,7/3,3/3,9/4,7/5,6/6,8/8, Tolerance 0 %) Ü -
2 Prof. Dr.-ng. F. Schuber Digial ircuis [Exercise.4] () A () () T D T P alculae he upper value Amax and he lower value Amin of he oupu volage in he seady sae. [Exercise.5] 0 X S A n he given circui is he swich S for he same duraion of ime T/ in posiion respecively. a) alculae for he seady sae (). b) Skech for he seady sae (). X = 50 pf, = A = KΩ, 0 = 0 V, T = 00 ns. Exercise.6 5 V E E 0 A T D The lowpass is driven by he given pulse. a) alculae A () for > 0. b) Skech A (). = nf, = KΩ, = KΩ, = 0 KΩ, 0 = 0 V, T D = 0 µs. Ü -
3 Prof. Dr.-ng. F. Schuber Digial ircuis Exercise.7 E E E E A E 0 0 E T D T T D a) alculae he equivalen pulse source relaive o he connecions E - E'. b) alculae A (). c) Skech A (). = 50 Ω, = 70 Ω, = 00 Ω, = 00 nf, 0 = 5V, T D = 0 µs, T = T D = 5 µs. Exercise.8 The given circui measures he capacior x. The swich S will be closed a he ime = 0 and he skeched process of charging sars. The evaluaion logic measures he ime inerval = -. The inpu curren of he evaluaion logic is zero. 0 S = 0 EVALATON LOG x x x = V, = 8 V, 0 = 0 V, = kω a) How is he value of X, if = 500 ns is measured? ( X =33 pf). b) Skech X for 00 ns < < 0 ms. f he capacior X is no ideal wih an isolaion resisor x here will be an error in measuremen. s he measured capacior `X in his case higher or lower han (Wih jusificaion)? Ü - 3
4 Prof. Dr.-ng. F. Schuber Digial ircuis Exercise 3. p P L L Q a) alculae for he AND-Gae wihou load L QL,, L, QH and H. ( max = P, min = 0 V) ( QL = 0,667 V, L =-,33 ma, QH = 5,4 V, H =0,06µA). b) alculae for he AND-Gae wih load L he emporal course of Q (), if () is a square impulse (T D = 3 µs, v T = 0,5). c) Skech Q (). d) How are he values of T and T F? (T = 0,79 µs, T F =0,8 ns). L = 00 pf, P = 4 KΩ, L = 36 KΩ, P = 6 V. Diodes: F = 0,6 V, F = 50 Ω, = 0 MΩ ( >> P ). Exercise 3.3 K B T L Q = 5 V, = 560 Ω, B = KΩ Transisor T: BEX = 0,7 V, EX = 0, V, B0 = 0 A, B N = 00 The ransisor driver is loaded wih L. a) alculae he load L for he condiion QH,4 V ( L = 57 Ω). b) alculae he collecor curren and he required base curren B for a sauraion facor m =. ( = 8,56 ma, B = 0,7 ma) c) alculae he value of K, if H =,4 V is given. hoose a value KN from he E-series. ( K =,95 kω, KN =,5 kω) E-series:,0,,5,8,,7 3,3 3,9 4,7 5,6 6,8 8, Tolerance ± 0 % Ü - 4
5 Prof. Dr.-ng. F. Schuber Digial ircuis Exercise 3.5 G K B L Q G B esisors: G =, KΩ, K =,7 KΩ, B = 8 KΩ, =,8 KΩ, L =,8 KΩ Supply volages: - B = = V Driving source: GX = 8 V, GY = V Transisor daa: BEX = 0,7 V, EX = 0 V, B0 0 A, n he given ransisor swich he used ransisor shall be subsiued by a new ype. a) Wha is he curren amplificaion facor B N of he new ransisor ype, if always is valid m =? (B N = 34,). b) heck, if he ransisor is surely blocked ( BEY 0 V). ( BEY = -0,996 V). Exercise 3.7 TTLgae K A Q B B = V B = - V B = 0 KΩ, = 00 Ω Transisor: EX = 0, V, BEX = 0,6 V, B N = 00, B0 = 0 A TTL-Gae: QH =,4 V, QL = 0, V, OT = 0 The ransisor raises he ampliude of he pulse a he oupu of he TTL-gae. a) The ransisor swich shall surely be in he sauraion (m = ). alculae he resisor K and choose a value KN from he E-series. ( K = 735 Ω, KN = 560 Ω) b) heck, if he ransisor is surely blocked ( BEYmax < 0 V). ( BEY = -0,54 V) E-series:,0,,5,8,,7 3,3 3,9 4,7 5,6 6,8 8, Tolerance ± 0 % Ü - 5
6 Prof. Dr.-ng. F. Schuber Digial ircuis Exercise 3.9 L S K B T & & & 50 = 5 V L = 680 Ω, B = 80 Ω TTL-npu : - L,6 ma, H 40 µa Transisor T: BEX = 0,7 V, EX = 0 V, B0 = 0 A, B N = 00 The given ransisor driver shall be loaded wih 50 TTL-inpus. a) heck, if a blocked ransisor T he condiion H,4 V is valid. ( H = 3,64 V) b) alculae he collecor curren and he base curren B for a sauraion facor m =. ( = 87,4 ma, B =,75 ma) c) alculae he value of K, if S = 3 V is given. hoose a value KN from he E-series. ( K = 884 Ω, KN = 680 Ω) Ü - 6
7 Prof. Dr.-ng. F. Schuber Digial ircuis Exercise 3. The oupu of a MOS-gae shall drive hree TTL-inpus. For adapaion is used a ransisor swich. Q Q K T & & & 3 MOS-gae ransisor swich TTL-gae From daa shees is known: MOS-oupu (a 0 V supply volage): Q G H L Q H = 9,95 V, L = 0,05 V, G = 600 Ω TTL-inpu : H 40 µa a H V, - L,6 ma a L 0,8 V Transisor T: BEX = 0,7 V, EX 0 V, B0 = 0 µa, B N = 0, = 5 V, = KΩ a) heck, if a blocked ransisor = H V is valid. ( H = 4,87 V) c) Dimension K for a sauraion facor m =. hoose a value for KN from he E-series. ( KN = 6,8 kω) Ü - 7
8 Prof. Dr.-ng. F. Schuber Digial ircuis Exercise 4. Deermine he combinaorial logic, ha realize he following circuis in posiive logic. (NO, O, AND) 5 V 4K,6K K 4K Q K 5 V 4K,5K,6K 30 4K Q K K 5 V 4K K,6K 30 Q 800 K Ü - 8
9 Prof. Dr.-ng. F. Schuber Digial ircuis Exercise 4. Deermine he combinaorial logic, ha realize he following circuis in posiive logic. (AND, T STATE-driver). DD Q DD Q OE Ü - 9
10 Prof. Dr.-ng. F. Schuber Digial ircuis Exercise 5. E - E d + A alculae under assumpion of an ideal operaional amplifier (A 0 =, N =, OT = 0) he volage amplificaion V = A / E and he inpu resisor EN = E / E of he given circui. (V = -00, EN = 0, kω) = 0, kω, = 0 kω Exercise 5. - E d + E A a) alculae under assumpion of an ideal operaional amplifier (A 0 =, N =, OT = 0) he volage amplificaion V = A / E and he inpu resisor ein = E / E of he given circui. ( A / E = 0, EN = ) b) alculae he volage amplificaion for = 0. ( A / E = ) = 0, KΩ, = 0 KΩ Exercise E + A alculae under assumpion of an ideal operaional amplifier (A 0 =, N =, OT = 0) A = f( E ). ( A = - /() E d) Ü - 0
11 Prof. Dr.-ng. F. Schuber Digial ircuis Exercise 5.4 Z Z Z 3 - Z 4 E + A a) alculae under assumpion of an ideal operaional amplifier (A 0 =, N =, OT = 0) he volage amplificaion V = A / E of he given circui. b) alculae he value of V, if Z 4 approaches and Z 3 approaches 0? Exercise 5.9 D S SH Q S Q SL A E = 0 Ω, A = 0,9 V, E =,7 V Diode D: F = 0,3 V, =, = 0 Ω Equivalen circuis: Schmi-rigger-inpu nverer-oupu H QH 0 L QL Q H L = 6 KΩ, 0 = 4,3 V H = 3,7 V, H = 70 Ω, L = 0, V, L = 0 Ω The given asable circui wih Schmi-rigger and inverer shall be invesigaed for he seady sae. a) Deermine for = 0 Ω he pulse duy facor v Ta of he oupu volage Q. (v Ta = 0,39) b) For which value of has he pulse duy facor of Q he value v Tb = 0,5 an? (Neglec he inpu curren!) ( = 79 Ω) Ü -
12 Prof. Dr.-ng. F. Schuber Digial ircuis Exercise 5.0 is given he following monosable rigger circui wih a imer 555: K A OMP G A > Q Y OMP S > X K B G B T Skech he emporal course of he volage afer a rigger-impulse and calculae under assumpion of ideal elemens he pulse-duraion T D of he monosable rigger circui. (T D = * ln 3) Exercise 5. is given he following asable rigger circui, ha can be conrolled by he volage S : S K A G A OMP > Q Y D OMP S > KB G B T Daa of he diode D: F = 0 V, = 0 A, F = 0 Ω, =. Daa of he ransisors T: EX = 0 V, B0 = 0 A. npu-resisors of he comparaors N. a) Explain guided by he emporal courses of and Y he funcion of he circui. b) alculae in general he pulse-duraion T D, he pulse-pause T P and he frequency f as funcions of,, and S. (T D = * ln(( /3 S )/( -/3 S )); T P = * ln((/3 S )/(/3 S ))) c) Which mark-o-space raio ges one for S = and S = /? (v T = 0,5; v T = 0,44) d) Dimension and in ha way, ha for S = he frequency is 5 khz. Which frequency hen ges one for S = /? ( = 0,084 ms; f =,7 khz) Ü -
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