ENGINEERING CIRCUIT...(LL)>CUSTOM PKG.<
9th Edition
ISBN: 9781260540666
Author: Hayt
Publisher: MCG CUSTOM
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Chapter 8, Problem 15E
Radiocarbon dating has a similar exponential time relation to our circuits. A living object contains the same proportion of radioactive 14C as its surroundings, but after the object dies, it no longer acquires 14C. for which the radioactive isotopes decay into 12C. The relationship is given by
N = N0e −λt
where N0 is the concentration of 14C at time of death. N is the concentration at a given time after death, and λ is a constant. Given that the half-life of 14C is 5700 years (where N/N0 = 1/2). Determine (a) the value (and units!) of the constant λ; (b) the approximate age of an extraterrestrial alien fossil discovered that has 16 g of 14C. and expected initial concentration of 42 g.
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3. Consider the circuit, in which R₁ = 10 KQ2, R2 =
5 KQ, R3 = 1 KQ, and RE = 8 KQ. The supply
voltages are +Vcc = 10 V and -VEE = -5 V. Other
parameters are ẞF = 100, VBE(On) = 0.7 V, and
VCE(Sat) 0.2 V. Rc value will be specified later.
(a) (3 points) Draw the dc equivalent circuit of the
circuit.
VI
+Vcc
Rc
R2
RI
R₁
RE
-VEE
υο
R3
(b) Find the Thevenin equivalent voltage source VEQ and input resistance REQ of the DC
equivalent circuit. Show your work.
+Vcc
Rc
UC
VEQ
www
REQ
VE
VEQ =
REQ =
ΚΩ
RE
VEE
5. Consider the ac equivalent circuit of an
amplifier, where RE = 1 KS2, gm = 0.05 S, and
Υπ= 2Κ Ω.
(a) Redraw the ac equivalent circuit using the
hybrid-pi small signal model for BJTS.
Include ro in the model.
R₁
ww
Vi
RB
ww
+
RL
Vo
RE
(b) Find the terminal resistance RIB using the circuit obtained in (a). Ignore ro. Show your
work. (Don't use formula for RiB.)
Chapter 8 Solutions
ENGINEERING CIRCUIT...(LL)>CUSTOM PKG.<
Ch. 8.1 - For the circuit in Fig. 8.2, what value of...Ch. 8.1 - Noting carefully how the circuit changes once the...Ch. 8.2 - In a source-free series RC circuit, find the...Ch. 8.3 - Prob. 4PCh. 8.3 - Prob. 5PCh. 8.4 - Prob. 6PCh. 8.4 - Prob. 7PCh. 8.4 - Prob. 8PCh. 8.5 - Evaluate each of the following at t = 0.8: (a)...Ch. 8.6 - For the circuit of Fig. 8.37, find vc(t) at t...
Ch. 8.7 - Prob. 11PCh. 8.7 - The voltage source 60 40u(t) V is in series with...Ch. 8.7 - Prob. 13PCh. 8.8 - Prob. 14PCh. 8.8 - Prob. 15PCh. 8 - A source-free RC circuit has R = 4 k and C = 22 F,...Ch. 8 - A source-free RC circuit has v(0) = 12 V and R =...Ch. 8 - The resistor in the circuit of Fig. 8.51 has been...Ch. 8 - Prob. 4ECh. 8 - Prob. 5ECh. 8 - Prob. 6ECh. 8 - Prob. 7ECh. 8 - Prob. 8ECh. 8 - Prob. 9ECh. 8 - The switch in Fig. 8.56 has been closed for a long...Ch. 8 - For the circuit in Fig. 8.56, find (a) the total...Ch. 8 - Design a capacitor-based circuit that can achieve...Ch. 8 - (a) Graph the function f (t) = 10e2t over the...Ch. 8 - The current i(t) flowing through a 1 k resistor is...Ch. 8 - Radiocarbon dating has a similar exponential time...Ch. 8 - For the circuit of Fig. 8.4, compute the time...Ch. 8 - Design a circuit which will produce a current of 1...Ch. 8 - Prob. 18ECh. 8 - Prob. 19ECh. 8 - Referring to the circuit shown in Fig. 8.11,...Ch. 8 - Prob. 21ECh. 8 - With the assumption that the switch in the circuit...Ch. 8 - The switch in Fig. 8.57 has been closed since...Ch. 8 - The switch in the circuit of Fig. 8.58 has been...Ch. 8 - Assuming the switch initially has been open for a...Ch. 8 - (a) Obtain an expression for v(t), the voltage...Ch. 8 - For the circuit of Fig. 8.61, determine ix, iL,...Ch. 8 - Prob. 28ECh. 8 - Prob. 29ECh. 8 - Prob. 30ECh. 8 - Prob. 31ECh. 8 - (a) Obtain an expression for vx as labeled in the...Ch. 8 - Prob. 33ECh. 8 - Prob. 34ECh. 8 - Prob. 35ECh. 8 - Prob. 36ECh. 8 - Prob. 37ECh. 8 - The switch in Fig. 8.70 is moved from A to B at t...Ch. 8 - Prob. 39ECh. 8 - Prob. 40ECh. 8 - Evaluate the following functions at t = 1, 0, and...Ch. 8 - Prob. 42ECh. 8 - Prob. 43ECh. 8 - Prob. 44ECh. 8 - You can use MATLAB to represent the unit-step...Ch. 8 - With reference to the circuit depicted in Fig....Ch. 8 - For the circuit given in Fig. 8.75, (a) determine...Ch. 8 - Prob. 48ECh. 8 - Prob. 49ECh. 8 - You build a portable solar charging circuit...Ch. 8 - The switch in the circuit of Fig. 8.78 has been...Ch. 8 - The switch in the circuit of Fig. 8.78 has been...Ch. 8 - Prob. 53ECh. 8 - Prob. 54ECh. 8 - Prob. 55ECh. 8 - For the circuit represented in Fig. 8.82, (a)...Ch. 8 - Prob. 58ECh. 8 - Prob. 59ECh. 8 - For the circuit given in Fig. 8.85, (a) determine...Ch. 8 - The circuit depicted in Fig. 8.86 contains two...Ch. 8 - Prob. 62ECh. 8 - Prob. 63ECh. 8 - A series RL circuit has a voltage that steps from...Ch. 8 - For the two-source circuit of Fig. 8.89, note that...Ch. 8 - (a) Obtain an expression for iL as labeled in Fig....Ch. 8 - Obtain an expression for i(t) as labeled in the...Ch. 8 - Obtain an expression for i1 as indicated in Fig....Ch. 8 - Plot the current i(t) in Fig. 8.93 if (a) R = 10 ;...Ch. 8 - A dc motor can be modeled as a series RL circuit...Ch. 8 - Prob. 71ECh. 8 - Prob. 72ECh. 8 - A series RC sequentially switched circuit has R =...Ch. 8 - Refer to the circuit of Fig. 8.95, which contains...Ch. 8 - In the circuit of Fig. 8.95, a 3 mF capacitor is...Ch. 8 - Prob. 78E
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- 4. Consider the circuit. Use the symbol || to indicate the parallel of resistors in the following questions. (a) Express the input resistance Rin in terms of the terminal resistance and other necessary resistor values. (In other words, RiB, Ric, and RIE are given.) C₁ R₁ R₂ +Vcc Rc C3 R3 C2 ی RE -VEE (b) Express the output resistance Rout in terms of the terminal resistance and other necessary resistor values. (In other words, RiB, Ric and RiE are given.) (c) Express the voltage gain A₁ = ∞ in terms of terminal voltage gain Avt, the terminal Vi resistance, and other necessary resistor values. (Avt, RiB, Ric and R₁E are given.) +51arrow_forward2. ẞ 100, VBE(on)= 0.7 V, and VCE(sat) = 0.2 V for the BJT. We want to find the Q-point through the following steps. Show your work. a) Find the bias voltage VTH Using Thevenin's equivalent circuit. R1|| R2 www +5 V R₁ = 20 k IB VTH Answer: VTH = V b) Find the base current voltage IB. www. Answer: IB = μA (note the unit.) c) Find the collector voltage Vc (with reference to the ground). RC= 2.3 k B E R₂ = 30 k -5 V www R₁ = 5 ΚΩ ww AHI› RE= 5 ΚΩarrow_forward3. Consider the circuit, in which R₁ = 10 KQ2, R2 = 5 KQ, R3 = 1 KQ, and RE = 8 KQ. The supply voltages are +Vcc = 10 V and -VEE = -5 V. Other parameters are ẞF = 100, VBE(On) = 0.7 V, and VCE(Sat) 0.2 V. Rc value will be specified later. (a) (3 points) Draw the dc equivalent circuit of the circuit. VI +Vcc Rc R2 RI R₁ RE -VEE υο R3 (b) Find the Thevenin equivalent voltage source VEQ and input resistance REQ of the DC equivalent circuit. Show your work. +Vcc Rc UC VEQ www REQ VE VEQ = REQ = ΚΩ RE VEEarrow_forward
- The solution is with a pen and paper. Really not smartarrow_forward1. Consider the following mechanical system. Obtain the differential equation model for the system. Write the transfer function of the system also. Note here, input u(t) is force and output x(t) is the displacement of the mass. x (Output) k1 k2 www u(t) m (Input force) No frictionarrow_forwardNO AI PLEASEarrow_forward
- 2. Consider the following mechanical system with two masses. Find the differential equation model for the system. Find the transfer functions X1(s) and U(s) Note, in the figure, x₁ and x2 are displacements and u is the force. X2(s) U(s) also. k₁ www + b₁ " x1 k2 kz www mi www m2 Đ b₂arrow_forward4. Find the transfer function H(s) = = Vo(s) V₁(s) for the following circuit. Vi R₁ ww A R₂ ww Voarrow_forwardAnswer the following questions. Take help from ChatGPT to answer these questions (if you need). But write the answers briefly using your own words with no more than two sentences and make sure you check whether ChatGPT is giving you the appropriate answers in our context. A) Write Newton’s second law of motion. B) What is a dashpot? C) What is Hooke’s law? Why there is a negative sign? D) Write the voltage and current equation for an Ideal Op-amp.arrow_forward
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