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 4, Problem 4.17P
Uniform surface charge densities of 6 and 2 nC/m2 are present at P=2 and 6 cm, respectively, in free space. Assume V=0 at p=4 cm, and calculate V at (a) p=5cm; P=7cm.
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Chapter 4 Solutions
Engineering Electromagnetics
Ch. 4 - Given E = Exax + Eyay + Ez3z V/m, where EX, Ey,...Ch. 4 - A positive point charge of magnitude q1 lies at...Ch. 4 - Given E=Epap+Ea+Ez+azV/m, where Ep, E and E2 are...Ch. 4 - An electric field in free space is given by...Ch. 4 - Consider the vector field G = (A/p) aa where A is...Ch. 4 - A electric field in free space is given as...Ch. 4 - Prob. 4.7PCh. 4 - Given E=-xax+yay,(a) find the work involved in...Ch. 4 - An electric field intensity in spherical...Ch. 4 - A sphere of radios a carries a surface density of...
Ch. 4 - At large distances from a dipole antenna (to be...Ch. 4 - Prob. 4.12PCh. 4 - Thee identical point charges of 4 pC each are...Ch. 4 - Given the electric field E=(y+1)ax+(x1)ay+2az find...Ch. 4 - Two uniform lines, 8 nC/m, are located at x=1, z=2...Ch. 4 - A spherically symmetric charge distribution in...Ch. 4 - Uniform surface charge densities of 6 and 2 nC/m2...Ch. 4 - Find the potential at the origin produced by a...Ch. 4 - Volume charge density is given as pv=poer/C/m3,...Ch. 4 - En a certain medium, the electric potential is...Ch. 4 - Prob. 4.21PCh. 4 - A Line charge of infinite length lies along the z...Ch. 4 - Prob. 4.23PCh. 4 - A certain spherically symmetric charge...Ch. 4 - Consider an electric field intensity in free space...Ch. 4 - Let us assume that we have a very thin, square,...Ch. 4 - By performing an appropriate Line integral from...Ch. 4 - Prob. 4.28PCh. 4 - A dipole having a moment P=3ax-5ay+10aznC.m is...Ch. 4 - Prob. 4.30PCh. 4 - A potential field in free space is expressed as...Ch. 4 - Prob. 4.32PCh. 4 - Prob. 4.33PCh. 4 - A sphere of radius a contains volume charge of...Ch. 4 - Four 0.8 nC point charge are located in free space...Ch. 4 - Surface charge of uniform density ps lies on a...
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- 5. The cylindrical surface p = 6 cm contains the surface charge density p₁ = 10e-10lzl nC/m². a.) What is the total amount of charge present?arrow_forwardTwo 1.20 m non-conductive wires form a right angle. A segment has +2.50 µC of charge, distributed evenly along its length; while the other segment has -2.50 µC of charge, distributed uniformly along its length, as illustrated in the figure. Find the magnitude and direction of the electric field produced by these wires at point P, which is 60.0 cm from each wire.arrow_forward...arrow_forward
- can you solve the question ?arrow_forwardElectrons and holes are moving in a uniform, onedimensional electric field E = −2000 V/cm. The electrons and holes have mobilities of 700 and 250 cm2/V · s, respectively. What are the electron and hole velocities? If n=1017/cm3 and p = 103/cm3, what are the electron and hole current densities?arrow_forwardFill in the blank: A uniform sheet of charge with Ps1 = -0.2 nC/m² occupies the plane z = 17 and a second uniform sheet of charge with ps1 = 0.2 nC/m² occupies the x-y plane. The region between the plates is free space. The potential difference VBC B(0, 0, 4) and C(0, -2, 10) is..... Bc for V.arrow_forward
- Q1) A charge q = 2µC is placed at a = 0.1m from an infinite grounded conducting plane sheet. Find;i) The total charge induced on the sheet.ii) The force on the charge q.iii) The total work required to remove the charge slowly to an infinite distance from the plane.arrow_forwardSince the potential of a perfect conducting sphere with a radius of 3.5 cm in empty space is 10 V, calculate the value of the potentials at a distance of 13.3 cm from the center of the sphere as Volts in ke.arrow_forwardFind the expression for the potential at point P, which is a distance r from the end point of a uniformly charged thin rod. The rod has a line charge density A and a very long length 2L. Your result depends on two variables. Plot the potential landscape, i.e. make a 3D plot of V(z,s).arrow_forward
- a long straight cylindrical wire of radius r meter, in a medium of permittivity e is parallel to a horizontal plane conducting sheet. The axis of the wire is it expr metres above the sheet (a) Derive an expression of the capacitance per unit length between the wire and the sheet (b) If r = 0.3 x 10-2 m, h.= 0.12 m find the capacitance per metre length (c) If the potential difference betweenthe wire and sheet is 5 kV, find the magnitude and direction of electric stress in the medium at theupper surface of the sheet at a distance 20 cm from the axis of the wire. Take e = 1/36π x 10-9 F/m [(a) C = 2πe/ln 2h - r/r F/m (b) 0.0127 x 10-9 F/rn (c) 6.85 kV/m acting vertically downward]arrow_forwardINC 6- Two identical ring of radii 1 cm are separated by a distance much greater than their radii as shown in Figure. The rings carry charges of -1 μC and +1 µc uniformly distributed over them. If a point charge of 1 µC moves from the center of the ring on the right to the center of the ring on the left, how much potential energy changes in the point charge-rings system? Note: the potential of a uniformly charged ring of radius a and total charge Q at a point on its perpendicular axis is given by V=k, va'+xarrow_forwardi need the answer quicklyarrow_forward
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