EBK FUNDAMENTALS OF APPLIED ELECTROMAGN
7th Edition
ISBN: 8220100663659
Author: ULABY
Publisher: PEARSON
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Chapter 4, Problem 4P
If the line charge density is given by ρl = 24y2 (mC/m), find the total charge distributed on the y axis from y = −5 to y = 5.
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Gauss law can be used if the structure carrying the charge is asymmetric around the point.
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Find the capacitance (in pF) between
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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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- Problem 4. A positive point charge q₁5 [nc] is on the x-axis at x₁ = -1 [m] and a second positive point charge q₂ = 4 [nc] is on the x-axis at x₂ = 3 [m]. dl = b. a. and Point A. C. 91 Point A is on the x-axis at XA = 8 [m]. 0 = EzA=[ O+x O-x O+y O-y d. and Point A. d2 = 2 m 92 Find the distance between 91 6 created by the charge q₁ at Point A. E₁A= Ĵ [N/C] Find the distance between 92 Find the magnitude of È ₁A. [N/C] m x, m Calculate ₁4 the electric field 1A created by the charge 92 at Point A. E₂A î+ [N/C] g. Consider a point located 6 m from the origin, what will be the direction of the net electric field created by the charges at this point? Find the magnitude of È 2A. [N/C] Calculate E24 the electric field 2Aarrow_forwardA non-uniform charge density of P = -x [inc/m], are distributed on the x-axis Find Ẽ at p (0₂0₂2) from x=-4 to x=4. Find È at Earrow_forward(al:Determine E caused by the spherical cloud of electrons with a volume charge density of - 1.68 x 10 -18 for 0 10mm. Clearly mention the surfaces, there differential components and write the equation properly by doing all the steps. (b): For the dielectric composition shown in the figure find out its total capacitance.arrow_forward
- Boundary Conditions Two planar slabs of equal thickness but with different dielectric constants are shown inFigure. Eo in air makes an angle of 30° with the z-axis. Calculate the angle that E makes with the z-axis in each of the two dielectric layers.arrow_forward4.4 If the line charge density is given by pi = 24y (mC/m), find the total charge distributed on the y axis from y = -5 to y = 5.arrow_forwardJust you EDIT Problem 3: A semicircular ring of radius R and charge density pỊ is given. Calculate electric field at center of the are and identify its direction. Add to story Morearrow_forward
- Find the capacitance (in pF) between the two conducting spheres with at r = 9 mm andr= 18 mm. If the dielectric between them having er = 4. *arrow_forwardQ4/ For the following configuration, both line and cylinder are infinite in extent with z-axis ρι -3μ C/m %3D ... 2 m 1.5 -C/m² Ps ... . .. .. ... .. .... ... .... .... ... . The value of electric field density at r= 3 m The value of electric field density at r= 1 m 0.0796 μC/m? 0.0398 μC/m2 0.239 μC/m 0.477 μC/m O Option 1 Option 2 O Option 1 Option 2 0.0531 µC /m² 1.5 μC/m2 O Option 3 None of the above O Option 3 O None of the abovearrow_forwardThree charge distributions as follows: a uniform sheet at x=0 m with ps1 = (/31) nC/m2, a uniform sheet at x 4 m with Ps2 (-137) nC/m2, and a uniform line at x= 6 m, y 0 m with p -2 nC/m. The E at (2, 0, 8) m is:arrow_forward
- Line charge density of 3x² µC/m is distributed along the x-axis. The total charge over a length of 10 m is given byarrow_forwardQ5. Consider two magnetic fields given by (a)B = 3x²y – 4xz + 5z2 and (b) B =constant. Comment on these magnetic fields.arrow_forwardUniform line charges of 0.4 µC/m and –0.4 µC/m are located in the x = 0 plane at y = -0.6 and y = 0.6 m, respectively. Find E at R(2, –3, 4). %3D Select your answer. N (626.35az – 242.19a,) V (-625.8a, – 241.6a,) m V (-625.8a, + 241.6a,) m N (626.35а, + 242.19а,)arrow_forward
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