EBK FUNDAMENTALS OF APPLIED ELECTROMAGN
7th Edition
ISBN: 8220100663659
Author: ULABY
Publisher: PEARSON
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Chapter 4.6, Problem 15E
To determine
The power dissipated in the wire for the given condition.
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4.87 Sketch the transfer characteristic v, versus , for
the limiter circuits shown in Fig. P4.87. All diodes begin
conducting at a forward voltage drop of 0.5 V and have
voltage drops of 0.7 V when conducting a current i, 2 1 mA.
+3V
1kn
(a)
+3 V
1 kn
(b)
Figure P4.87
PROBLEM 4.1
Consider the circuit containing a nonlinear element N as shown
in Figure 4.54. The v-i relation for N is given by:
ia = c2ví + C1VA + co_for vA 2 0, and ia = 0 otherwise.
www
R
iA
N
VA
Find the operating point values of the nonlinear element's voltage and current for
vi = V1, where Vị is positive.
b)
Find the incremental change in ia (given by ia) for an incremental change in vị (given
by vi).
c)
Solve by hand dont use chat gpt or any AI otherwise dislike
Chapter 4 Solutions
EBK FUNDAMENTALS OF APPLIED ELECTROMAGN
Ch. 4.2 - What happens to Maxwells equations under static...Ch. 4.2 - How is the current density J related to the volume...Ch. 4.2 - Prob. 3CQCh. 4.2 - A square plate residing in the xy plane is...Ch. 4.2 - A thick spherical shell centered at the origin...Ch. 4.3 - When characterizing the electrical permittivity of...Ch. 4.3 - If the electric field is zero at a given point in...Ch. 4.3 - State the principle of linear superposition as it...Ch. 4.3 - Four charges of 10 C each are located in free...Ch. 4.3 - Two identical charges are located on the x axis at...
Ch. 4.3 - In a hydrogen atom the electron and proton are...Ch. 4.3 - An infinite sheet with uniform surface charge...Ch. 4.4 - Explain Gausss law. Under what circumstances is it...Ch. 4.4 - How should one choose a Gaussian surface?Ch. 4.4 - Two infinite lines, each carrying a uniform charge...Ch. 4.4 - A thin spherical shell of radius a carries a...Ch. 4.4 - A spherical volume of radius a contains a uniform...Ch. 4.5 - What is a conservative field?Ch. 4.5 - Why is the electric potential at a point in space...Ch. 4.5 - Prob. 11CQCh. 4.5 - Why is it usually easier to compute V for a given...Ch. 4.5 - Prob. 13CQCh. 4.5 - Determine the electric potential at the origin due...Ch. 4.5 - A spherical shell of radius a has a uniform...Ch. 4.6 - What are the electromagnetic constitutive...Ch. 4.6 - Prob. 15CQCh. 4.6 - What is the conductivity of a perfect dielectric?Ch. 4.6 - Prob. 17CQCh. 4.6 - Prob. 18CQCh. 4.6 - Determine the density of free electrons in...Ch. 4.6 - Prob. 13ECh. 4.6 - A 50 m long copper wire has a circular cross...Ch. 4.6 - Prob. 15ECh. 4.7 - What is a polar material? A nonpolar material?Ch. 4.7 - Prob. 20CQCh. 4.7 - What happens when dielectric breakdown occurs?Ch. 4.7 - Find E1 in Fig. 4-19 if E2=x2y3+z3(v/m),1=20,2=80,...Ch. 4.7 - Repeat Exercise 4.16 for a boundary with surface...Ch. 4.8 - What are the boundary conditions for the electric...Ch. 4.8 - Prob. 23CQCh. 4.9 - How is the capacitance of a two-conductor...Ch. 4.9 - What are fringing fields and when may they be...Ch. 4.10 - To bring a charge q from infinity to a given point...Ch. 4.10 - Prob. 27CQCh. 4.10 - The radii of the inner and outer conductors of a...Ch. 4.11 - What is the fundamental premise of the image...Ch. 4.11 - Given a charge distribution, what are the various...Ch. 4.11 - Use the result of Example 4-13 to find the surface...Ch. 4 - A cube 2 m on a side is located in the first...Ch. 4 - Prob. 2PCh. 4 - Find the total charge contained in a round-top...Ch. 4 - If the line charge density is given by l = 24y2...Ch. 4 - Find the total charge on a circular disk defined...Ch. 4 - If J = 4xz (A/m2), find the current I flowing...Ch. 4 - Prob. 7PCh. 4 - An electron beam shaped like a circular cylinder...Ch. 4 - Prob. 9PCh. 4 - A line of charge of uniform density occupies a...Ch. 4 - A square with sides of 2 m has a charge of 40 C at...Ch. 4 - Three point charges, each with q = 3 nC, are...Ch. 4 - Charge q1 = 6 C is located at (1 cm, 1 cm, 0) and...Ch. 4 - A line of charge with uniform density = 8 (C/m)...Ch. 4 - Prob. 15PCh. 4 - A line of charge with uniform density l extends...Ch. 4 - Repeat Example 4-5 for liie circular disk of...Ch. 4 - Multiple charges at different locations are said...Ch. 4 - Three infinite lines of charge, all parallel to...Ch. 4 - Prob. 20PCh. 4 - A horizontal strip lying in the xy plane is of...Ch. 4 - Prob. 22PCh. 4 - Prob. 23PCh. 4 - Charge Q1 is uniformly distributed over a thin...Ch. 4 - The electric flux density inside a dielectric...Ch. 4 - Prob. 26PCh. 4 - An infinitely long cylindrical shell extending...Ch. 4 - If the charge density increases linearly with...Ch. 4 - A spherical shell with outer radius b surrounds a...Ch. 4 - Prob. 30PCh. 4 - Prob. 31PCh. 4 - A circular ring of charge of radius a lies in the...Ch. 4 - Prob. 33PCh. 4 - Find the electric potential V at a location a...Ch. 4 - For the electric dipole shown in Fig. 4-13, d = 1...Ch. 4 - For each of the distributions of the electric...Ch. 4 - Two infinite lines of charge, both parallel to the...Ch. 4 - Given the electric field E=R18R2(V/m) find the...Ch. 4 - An infinitely long line of charge with uniform...Ch. 4 - The xy plane contains a uniform sheet of charge...Ch. 4 - A cylindrical bar of silicon has a radius of 4 mm...Ch. 4 - Repeat Problem 4.41 for a bar of germanium with e...Ch. 4 - A 100 m long conductor of uniform cross-section...Ch. 4 - Prob. 44PCh. 4 - Apply the result of Problem 4.44 to find the...Ch. 4 - A 2 103 mm thick square sheet of aluminum has 5 cm...Ch. 4 - A cylinder-shaped carbon resistor is 8 cm in...Ch. 4 - With reference to Fig. 4-19, find E1 if...Ch. 4 - An infinitely long cylinder of radius a is...Ch. 4 - If E=R150(V/m) at the surface of a 5-cm conducting...Ch. 4 - Figure P4.51 shows three planar dielectric slabs...Ch. 4 - Determine the force of attraction in a...Ch. 4 - Dielectric breakdown occurs in a material whenever...Ch. 4 - An electron with charge Qe = 1.61019 C and mass me...Ch. 4 - In a dielectric medium with r = 4, the electric...Ch. 4 - Prob. 56PCh. 4 - Prob. 57PCh. 4 - Prob. 58PCh. 4 - Prob. 59PCh. 4 - Prob. 60PCh. 4 - Prob. 61PCh. 4 - Conducting wires above a conducting plane carry...Ch. 4 - Prob. 63P
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- Q4. a) As shown in Figure Q4.1, ten diodes are to be operated in series in a 5000V peak string voltage application. The reverse-blocking voltage of the diodes is 600V and their maximum device reverse leakage current is 4mA. For worst case conditions, calculate the maximum value of sharing resistance R and the power dissipation of resistors and diodes. D₁ D₂ D10 ww M R R R Vs OV Figure Q4.1: Series operation of switchesarrow_forward"4.57 Consider the voltage-regulator circuit shown in Fig. P4.57. The value of R is selected to obtain an output voltage Vo (across the diode) of 0.7 V. Vo Figure P4.57 (a) Use the diode small-signal model to show that the change in output voltage corresponding to a change of 1 V in V* is AV. V, V+ + V, – 0.7 AV+ This quantity is known as the line regulation and is usually expressed in mV/V. (b) Generalize the expression above for the case of m diodes connected in series and the value of R adjusted so that the voltage across each diode is 0.7 v (and Vo=0.7m V). (c) Caleulate the value of line regulation for the case V = 10 V (nominally) and (i) m = 1 and (ii) m = 3.arrow_forward4.9 Assuming that the diodes in the circuits of Fig. P4.9 are ideal, find the values of the labeled voltages and currents. + 3 V + 3V 12 kn 6 kn I Z D, Z D; V D, Z D: ov ov 6 kn 12 kn - 3 V - 3 V (a) (b) Figure P4.9arrow_forward
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- 4.17 The diodes in Fig. 4.6(a) must be able to withstand lightning strikes that cause the input voltage to temporarily spike to v = + 200 V. What peak current and peak reverse voltage must the diodes handle if R = 100 2? R D, Dz to 5 V Esv + (a) Figure 4.6 (a) Simple limiter circuit in Example 4.2.arrow_forward4.24 The circuit in Fig. P4.24 utilizes three identical diodes having Is = 10-14 A. Find the value of the current / required to obtain an output voltage Vo = 2.0 V at room temperature. oVo Figure P4.24 If a current of 1 mA is drawn away from the output terminal by a load, what is the change in output voltage? What change in output voltage is caused by a 40°C increase in temperature?arrow_forwardProblem 4.2 For the circuit of Figure P4.2, and for the indicated voltage reference node. nodal analysis to find the voltage VB. 2 A Figure P4.2arrow_forward
- PROBLEM 4.I Consider the circuit containing a nonlinear element N as shown in Figure 4.54. The v-i relation for N is given by: ia = c2ví + C1VA + co_for vA 2 0, and ia = 0 otherwise. ww- R iA + N VA Find the operating point values of the nonlinear element's voltage and current for Vi = V1, where Vị is positive. b) Find the incremental change in ia (given by ia) for an incremental change in vị (given by vi). c)arrow_forwardIn Problems 4.1 to 4.6, the input voltage V, is de and positive with the polarity shown. Specify how to implement the switches using a position minimal number of diodes and transistors, such that the converter operates over the entire range of duty cycles OS DS 1. The switch states should vary as shown in Fig. 4.56. You may assume that the inductor current ripples and capacitor voltage ripples are small. Switch 2 For each problem, do the following: DT, T, (a) Realize the switches using SPST ideal switches, and explicitly define the voltage and Fig. 4.56 Switch control method for Prob current of each switch. lems 4.1 to 4.6. Express the on-state current and off-state volt- age of each SPST switch in terms of the converter inductor currents, capacitor voltages, and/or imput source voltage. (b) (e) Solve the converter to determine the inductor currents and capacitor voltages, as in Chapter 2. Determine the polarities of the switch on-state currents and off-state voltages. Do the…arrow_forward14 4.30 In the circuit shown in Fig. P4.30, D is a large-area, high-current diode whose reverse leakage is high and independent of applied voltage, while D2 is a much smaller, low-current diode. At an ambient temperature of 20°C, resistor R1 is adjusted to make VRI = V2 = 520 mV. Subsequent measurement indicates that R1 is 520 k. What do you expect the voltages VRI and V2 to become at 0°C and at 60°C? +10 V R VRI D, D, SZ Figure P4.30arrow_forward
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