1. A line charge density p, 6pC/m is uniformly distributed along an infinite line. Find the electric field intensity at a point (3,3,1). 2. Find the electric field intensity at a point (4,0,3) if a line charge density of 8pC/m lies along the y -axis. 3. An infinite sheet in y-z plane extending from to in both directions has a uniform charge density, Ps=12nC/m². find the electric field intensity at x = 2cm. 4. A sheet of charge lies in x-y plane at z=0 and has uniform surface. charge density of P = 4pC/m² . Find the electric field intensity of a point P(-4,0,0) on the z-axis.

1. A line charge density p, 6pC/m is uniformly distributed along an infinite line. Find the electric field intensity at a point (3,3,1). 2. Find the electric field intensity at a point (4,0,3) if a line charge density of 8pC/m lies along the y -axis. 3. An infinite sheet in y-z plane extending from to in both directions has a uniform charge density, Ps=12nC/m². find the electric field intensity at x = 2cm. 4. A sheet of charge lies in x-y plane at z=0 and has uniform surface. charge density of P = 4pC/m² . Find the electric field intensity of a point P(-4,0,0) on the z-axis.

Physics for Scientists and Engineers, Technology Update (No access codes included)

9th Edition

ISBN:9781305116399

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter24: Gauss’s Law

Section: Chapter Questions

Problem 24.46P: A thin, square, conducting plate 50.0 cm on a side lies in the xy plane. A total charge of 4.00 108...

See similar textbooks

Similar questions

Q3. An infinite line charge density of p, = 5nC/m is distributed over the line x = 1, y = 2 and a surface charge density of p, = -10 nC/m² is distributed over x -2 plane. Find the E vector at P(0,0,1) %3D Q4. A finite line charge density of p 5nC/m is distributed between z=0 and z=-4 as shown in the figure. Find the E-field vector at P(3,4,0). z=0 "P(3,4,0) Pi z=-4 Q5. A circular annular ring of inner radius a = 1 and outer radius b = 5 has a non-uniform surface charge density of p, =nc/m2. Find the following 1. The total charge on the ring. 2. The E-field at P(0,0,2) 3. The E-field at P(0,0,0) %3D Ps
2. An infinite uniform line charge with a line charge density of 50 nC/m lies along the z-axis. Find the electric field intensity at the point (3,4,5) m.
4. A cylindrical dielectric of permittivity &, radius R, and length h, is centered about the z-axis. Assume this Cylinder has a uniform electric polarization along its axis given by P = Poz. a) What are the polarization charge densities on its surfaces? b) What is the electric displacement vector D anywhere on its axis? c) What is the electric field vector E anywhere on its axis?
3. Charge is distributed uniformly over the plane y = -5 cm with a surface charge density of 1/36 nC/m². Find the Electric field intensity. A Find the charge in th e volumo dofined hy 0
Q1. Five identical 15-uC point charges are located at the center and corners of a square defined by –1 < x, y < 1, z = 0. (a) Find the force on the 10-µC point charge at (0, 0, 2). (b) Calculate the electric field intensity at (0, 0, 2). (0,0,2) Q(-1,-1,0) Q-1,1,0) Q(0,0,0) Q(1,:1,0) y Q(1,1,0)
Here’s one more model of an electron. Here e is the magnitude of the charge of an electron, and R is a constant parameter characterizing the electron’s size: rho=-e (105/4pi)r2(R-r)2/R7 , rho = 0 for r >R. a. Use the problem's symmetry to evaluate the electric field at all points in space, it r >R and r<R. b. Sketch the electric field magnitude versus r for all values of r. d. evaluate the electric potential at all points in space and sketch its magnitude as a function of r.
.A sphere loaded with an area of 3.14 m^2 and a surface load density given by o = 10 µC/m. What electrical 3D flow crosses the sphere? -.. The electric charge in a plane of charges is 100m^2. What surface density does the plane have?
a. A thin line charge, infinite in both directions, has a charge density per unit length of 2.00 µC/m. What is the electric field strength a distance 0.50 meters from the e. (axioc) 3.8 X104 RTT( 8.85x1018) cokec tion: ヤート D. A -5.00 µC charge is 0.50 meters from the line charge mentioned in part a. What is the electrostatic force on this charge? Is this force directed toward or away from the line charge? Fこ EG -(3.8x104) (-5x16-6) - 0.19 remains can- the kin anetic A large flat insulating membrane has a uniform chargeo of +12.0 µC/m². What is the electric field strength above the charged surface? с. (こマメIC6 つ1Xと =2 2(8.85x1019) 5.31 X107 w ould double Cth d. Suppose a +4.00 µC charge and a +7.00 µC charge are separated by 3.00 meters. How far from the +4.00 µC charge does the electric field vanish? What the the magnitude of the force on a test charge is it is placed at this point? Enew, 72F ベ-8 (7x100) RF F=(4X10
l y d x A line charge of charge density, p = 0.0001 C/m is of length, 1=2.5 m. Find the electric field component Ę at the point, d=5 m away from one end as shown in the figure above. Answer: Ey = 4.5 × 10 V/m
4. Two conducting parallel plates are separated by a distance of d= 3 cm. The plates are connected to each other by an outside conducting wire. A charged insulator plate is placed between the plates. The charged plate is parallel to the conducting plates and d/3 meters from the upper plate. The charge density on the insulator is o = 3 × 10-4 C/m². a. Find the electric field between the upper plate and the insulator. b. Find the electric field between the lower plate and the insulator. d/3 Ở + +++++++++++++++++++++- --► x c. Find the surface charge density on the upper conducting plate. 2 d/3 d. Find the surface charge density on the lower conducting plate.
1. Three points A, B, and C are on the corners of an equilateral triangle. At A, there is a point charge of +0.100 μ?. What is the magnitude of the electric field intensity at a point midway between B and C, if BC is 10.0 cm? 2. A conducting sphere of radius 0.01 m has a charge of 1.0 × 10^- 9 C deposited on it. What is the magnitude of the electric field in N/C just outside the surface of the sphere? 3. Calculate the electric field intensity midway between two point charges, one of +500 statC, the other of -300 statC, placed 75.0 cm apart, in air. What is the electric flux passing through a circle of normal area whose radius is 3 cm at this point?
This is a two part problem. An infinite slab of thickness 2z-nought lies in the xy-plane between z = -z-nought and z = z-nought. The volume charge density, rho, is constant. a) Find an expression for the electric field inside the slab. b) Find an expression for the electric field above the slab.