Fundamentals of Applied Electromagnetics (7th Edition)
7th Edition
ISBN: 9780133356984
Author: ULABY
Publisher: PEARSON
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Chapter 4.6, Problem 12E
Determine the density of free electrons in aluminum, given that its conductivity is 3.5 × 107 (S/m) and its electron mobility is 0.0015 (m2/V · s).
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Chapter 4 Solutions
Fundamentals of Applied Electromagnetics (7th Edition)
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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- B) A 60-Hz generator is supplying 60% of P max to an infinite bus through a reactive network. A fault occurs which increases the reactance of the network between the generator internal voltage and the infinite bus by 400%. When the fault is cleared, the maximum power that can be delivered is 80% of the original maximum value. Determine the critical clearing angle for the condition described.arrow_forwardIn the circuit shown, let Vs-9, R₁-8, R2-2, and R3-4. Use Nodal analysis to determine the current lo. In particular find: V2= 10= A The relative tolerance for this problem is 5 %. R₁ V₁ + ww R₂ Vs V₂ 21 x R3arrow_forward1. Choose all nodes that must be included, if any, to construct the supernode for Nodal analysis. OV1, V3 OV1, V2 ○ V2, V3 OV1, V2, V4 OV1, V2, V3 O V2, V3, V4 2. Write KCL equation (Nodal equation) at super-node. Write your expression in terms of node voltages V1, V2, V3 and V4 and of the form (G11 V1+G12 V2+G13 V3+G14 V4 = 11), then enter the corresponding values: At super-node KCL: 1/Q G11 1/0 G12 1/Ω G13 1/Q G14 A 3. Use the above equation, the circuit and and super-node inner expression to calculate V3 and then lo : V3= V 10 = R3 Vst + A V₁ + VS2 V₂ V3 w W R₁ R₂ R4 ww R5 V4 V$3arrow_forward
- Enter the matrix values (numerical) to solve for voltages at nodes v1, and v2, for the circuit shown, using Nodal equations. In the matrix, row 1, and row 2, correspond to node v1, and node v2 current expressions, respectively. Let Is1=14, Is2=7, R₁=5, R₂-8, R3=2, and R4-5. [G11 G12] [Vi₁ The matrix values are shown here: = G21 G22 [V2] [41] [12] {Hint: As discussed in class and to avoid sign errors, assume nodal currents are locally defined at each node (leaving) and use node labeling as indicated in the circuit. } The relative tolerance for this problem is 5%. VI R2 ww Isl 12 NODE v1 G11 G12 RI 1/Q 1/0 A 4= NODE v2 G21- 1/Q G22 1/0 12 W A === www R3 R4 www Use Cramer's rule (matrix), substitution, or any other method to calculate the voltages: v1 = V v2= V Is2arrow_forwardOnly expert should attemptarrow_forwardFor the circuit shown below, let l₁ = 9, 1₂ = 14, 13= 12, R₁ = 3, R₂ = 8, and R3 = 5. Use nodal equations to determine V1, V2 and I, as follows: • Consider Node 1, obtain a nodal equation in terms of V₁ and V₂ voltages. Simplify your equation to the format 1V1 + b,V₂ = c, then enter the corresponding values of coefficients b₁ and c₁ 1. b₁ =( C₁ = • Now consider Node 2, obtain a second nodal equation in terms of V₁ and V2 voltages. Simplify your equation to the format -1V₁+b2V2=c2 then enter the corresponding values of coefficients b₂ and c₂ 2. (b₂ = value.) ,၄၇ = - 3. Use (1) and (2) to determine V₂ = 4. Determine V₁ 5. Determine | = i 12 V₁ R1 20 www R2 ww I The relative tolerance for this problem is 5%. R3 This is not a decimal or integer www i3arrow_forward
- For the circuit shown, let V1 = 19 V, Vs2 = 76 V, R₁ = 9, R2 = 9, and R3 = 7. Use Nodal analysis to determine the voltage V2 and the current lo, choose the closet values: V2- 4.788 10 = ○ 2.28 11.978 17.761 35.522 23.957 -9.146 8.32 10.173 A O-7.435 O-5.783 10.531 V sl ་ ་ ་ ན ་་་ ་ ་ ་ ་ ་ ་ ་ ་ +1 ww R₁ R₂ ww R3 Io +1 VS2arrow_forwardNO AI PLEASEarrow_forwardNO AI PLEASEarrow_forward
- Problem 4 Consider the following system. In the figure, y(t) denotes the displacement of the mass and u(t) denotes the force applied to the mass. b1 u(t) y(t) + b2 M 0000 0000 K1 K2 a) Find the differential equation model of the system. b) Find the state-space model for the system. Write x, A, B, C and D clearly in your answer.arrow_forwardNO AI PLEASEarrow_forwardNot use ai pleasearrow_forward
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