Engineering Electromagnetics
9th Edition
ISBN: 9780078028151
Author: Hayt, William H. (william Hart), Jr, BUCK, John A.
Publisher: Mcgraw-hill Education,
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Chapter 5, Problem 5.14P
A rectangular conducting plate lies in the xy plane, occupying the region 0 < x < a, 0 < y < b. An identical conducting plate is positioned directly above and parallel to the first, at z = d. The region between plates is filled with material having conductivity đ�œ�(x) = đ�œ�0e-xa, where đ�œ� 0 is a constant. Voltage V0 is applied to the plate at z = d; the plate at z = 0 is at zero potential. Find, in terms of the given parameters, (a) the electric field intensity E within the material; (b) the total current flowing between plates; (c) the resistance of the material.
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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 5 Solutions
Engineering Electromagnetics
Ch. 5 - Prob. 5.1PCh. 5 - Given J=-10-4 (yaxx+ya) A/m2, find the current...Ch. 5 - A solid sphere of radius b contains charge Q....Ch. 5 - Prob. 5.4PCh. 5 - Consider the following time-varying current...Ch. 5 - Prob. 5.6PCh. 5 - Prob. 5.7PCh. 5 - Prob. 5.8PCh. 5 - Prob. 5.9PCh. 5 - A large brass washer has a 2-cm inside diameter, a...
Ch. 5 - Prob. 5.11PCh. 5 - Prob. 5.12PCh. 5 - Prob. 5.13PCh. 5 - A rectangular conducting plate lies in the xy...Ch. 5 - Prob. 5.15PCh. 5 - Prob. 5.16PCh. 5 - Consider the serup as in Problem 5.15, except find...Ch. 5 - Prob. 5.18PCh. 5 - Consider the as in Problem 5.8, except find R by...Ch. 5 - Consider the basic image problem of a point charge...Ch. 5 - Let the surface y=0 be a perfect conductor in free...Ch. 5 - The line segment x=0, -1≤y≤1, z=1, carries a...Ch. 5 - A dipole with P=0.1azμC. m is located at A(1,0,0)...Ch. 5 - At a certain temperature, the electron and hole...Ch. 5 - Electron and hole concentration increase with...Ch. 5 - A semiconductor sample has a rectangular cross...Ch. 5 - Atomic hydrogen contains 5.5Ă—1023 atoms/m at a...Ch. 5 - Find the dielectric constant of a material an...Ch. 5 - A coaxial conductor has radii a=0.8mm and b=3 mm...Ch. 5 - Consider a composite material made up of two...Ch. 5 - Prob. 5.31PCh. 5 - Two equal but p\opposite-sign point charges of...Ch. 5 - Two perfect dielectrics have relative...Ch. 5 - A sphere of radius b and dielectric constant £r...Ch. 5 - Prob. 5.35P
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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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