Engineering Electromagnetics
9th Edition
ISBN: 9781260029963
Author: Hayt
Publisher: MCG
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Chapter 1, Problem 1.15P
Three
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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.)
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.)
+51
2. 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 ΚΩ
Chapter 1 Solutions
Engineering Electromagnetics
Ch. 1 - If A represents a vector two units in length...Ch. 1 - Vector A extends from the origin to (1, 2, 3), and...Ch. 1 - 1.3 The vector from the origin to point A is given...Ch. 1 - A circle, centered at the origin with a radius of...Ch. 1 - An equilateral triangle lies in the xy plane with...Ch. 1 - Find the acute angle between the two vector...Ch. 1 - Given the field F=xax+yay. If F. G =2xy and FĂ— G...Ch. 1 - Prob. 1.8PCh. 1 - A field is given as G=[25/(x2+y2)](xax+yay). Find...Ch. 1 - Prob. 1.10P
Ch. 1 - Given the points M(0.1, -0.2, -0.1), N(-02, 0.1,...Ch. 1 - 1.21 Write an expression recrangu1ar components...Ch. 1 - Prob. 1.13PCh. 1 - Prob. 1.14PCh. 1 - Three vectors extending from the origin are given...Ch. 1 - Prob. 1.16PCh. 1 - Prob. 1.17PCh. 1 - Prob. 1.18PCh. 1 - Prob. 1.19PCh. 1 - Prob. 1.20PCh. 1 - Exercise in cylinder components ;(a) the vector...Ch. 1 - Prob. 1.22PCh. 1 - The surfaces p=3,p=5,=130o,z=3andz=4.5 define a...Ch. 1 - Two unit vectors, a1 and a2, lie in the xy plane...Ch. 1 - Prob. 1.25PCh. 1 - Prob. 1.26PCh. 1 - Prob. 1.27PCh. 1 - Prob. 1.28PCh. 1 - A vector field is expressed as F = Az az where A...Ch. 1 - Consider a problem analogous to the varying wind...
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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 VEEarrow_forwardThe 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_forward
- NO AI PLEASEarrow_forward2. 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_forward
- Answer 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_forward3. Find the differential Equation model for the following electrical circuit. Write the transfer function also. Here, input u(t) is a current source and output y(t) is the current through the resistor R. u(t) (I) 州 BRarrow_forwardNO AI PLEASEarrow_forward
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