In Fig. 23-45, a small circular hole of radius R = 1.80 cm has een cut in the middle of an infinite, flat, nonconducting surface hat has uniform charge density o=4.50 pC/m². A z axis, with its rigin at the hole's center, is perpendicular to the surface. In unit- ector notation, what is the electric field at point P at z = 2.56 cm? Hint: See Eq. 22-26 and use superposition.) X X X X X X X X X Z X X X X X X X X X X X X X X X X X Figure 23-45 X X X 15 X X X X X X x x x\ X X X X X X X X X X X X

In Fig. 23-45, a small circular hole of radius R = 1.80 cm has een cut in the middle of an infinite, flat, nonconducting surface hat has uniform charge density o=4.50 pC/m². A z axis, with its rigin at the hole's center, is perpendicular to the surface. In unit- ector notation, what is the electric field at point P at z = 2.56 cm? Hint: See Eq. 22-26 and use superposition.) X X X X X X X X X Z X X X X X X X X X X X X X X X X X Figure 23-45 X X X 15 X X X X X X x x x\ X X X X X X X X X X X X

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Similar questions

.54 Figure 23-58 shows, in cross section, two solid spheres with uni- formly distributed charge through- out their volumes. Each has radius R. Point P lies on a line connecting Figure 23-58 Problem 54. the centers of the spheres, at radial distance R/2.00 from the center of sphere 1. If the net electric field at point Pis zero, what is the ratio q/qı of the total charges?
8) In Fig. 23-56, a nonconducting spherical shell of inner radius a= 2 cm and outer radius b= 2.4 cm has (within its thickness) a positive uniform volume charge density p = 2.5nC/m³. In addition, a small ball of charge q = +4.5 nC is located at that center. What are the magnitude and direction of the electric field at radial distances (a) r = 1 cm, (b) r = 2.2 cm and (c) r = 3 cm?
P. 69 Figure 23-59 shows, in cross section, three infinitely os large nonconducting sheets on which charge is uniformly spread. The surface charge densities are n = +2.00 µC/m?, o = +4.00 µC/m?, and oz = -5.00 uC/m?, and T/2 L. 2L %3! %3! distance L = 1.50 cm. In unit- L. vector notation, what is the net oI electric field at point P? Figure 23-59 Problem 69.
2) An insulating sphere of radius a carries a net positive charge 4q, uniformly distributed throughout its volume as a volume charge density p. Concentric with this sphere is a conducting spherical shell with inner radius b and outer radius c, and having a net charge -6q, as shown in Figure. Find the electric field in the regions (a) 1, (b) 2, (c) 3, and (d) 4 -6q 4q Insulator a b Conductor
: 2 2) The figure shows, in cross section, a spherical conducting shell that surrounds a particle of charge q. The shell has charge q1 --Se on the interior surface and charge q2 = -7e on the exterior surface. What is the magnitude (N/C) of the electric field at point P, at distance r = 0.40 m from the center of the shell? F A) 1.8 x 10-7 B) 6.3 x 10-8 C) 3.2 x 10-7 D) 9.0 × 10-8 E) 7.2 × 10-8
34 In Fig. 23-45, a small circular hole of radius R = 1.80 cm has been cut in the middle of an infinite, flat, nonconducting surface that has uniform charge density o= 4.50 pC/m?. A z axis, with its origin at the hole's center, is perpendicular to the surface. In unit- vector notation, what is the electric field at point Pat z = 2.56 cm? Hint: See Eq. 22-26 and use superposition.) %3D R
6) The hollow R radius cylindrical tube is infinitely long along the z-axis. The positive charges are evenly distributed over the surface of the tube, and the surface charge density σ. Find electric fields in both regions accordingly. A) r<R for D=0; r>R for D=arσR/r B) None. C) r<R for D=0; r>R for D=arσR/((\pi\)r) D) r<R for D=0; r>R for D=arπσR/r E) r<R for D=0; r>R for D=0 this is an electromagnetic wave lesson question.
2) An insulating sphere of radius a carries a net positive charge 4q, uniformly distributed throughout its volume as a volume charge density p. Concentric with this sphere is a conducting spherical shell with inner radius b and outer radius c, and having a net charge -6q, as shown in Figure. Find the electric field in the regions (a) 1, (b) 2, (c) 3, and (d) 4. -6q 49 Insulator a (1 (2 (3. Conductor 4
(Figure 1)A slab of insulating material of uniform thickness d, lying between -d/2 to +d/2 along the x axis, extends infinitely in the y and z directions, as shown in the figure. The slab has a uniform charge density p. The electric field is zero in the middle of the slab, at z = 0. Figure x=+d/2 x=0 x= -d/2 1 of 2 0 -1.57 rad Submit ✓ Correct Part C What is Eout, the magnitude of the electric field outside the slab? As implied by the fact that Eout is not given as a function of, this magnitude is constant everywhere outside the slab, not just at the surface. Express your answer in terms of d, p, and . ► View Available Hint(s) pd Eout = 2€0 Previous Answers Submit Previous Answers ✓ Correct Part D What is Ein (2), the magnitude of the electric field inside the slab as a function of z? ▸ View Available Hint(s) Ein (2) = Submit |VL]ΑΣΦ ?
3. The figure shows'a ball of radius R centered about the origin and an Infinite plane in the y-z plane. The ball has a constant charge density of P and the plane's constant surface charge density is o. Determine the electric field at x on the x axis (inside the ball). 7y with V.E= 6.L Gausi Law E=S,!VEP - S, da /3 dr= 4ñr? Aven: 2Y r? da= 48 r integual furm ure Gauró Law Quride dà for sphere plene add
48 O A charged particle is held at the center of a spherical shell. Figure 23-53 gives the magnitude E of the electric field ver- sus radial distance r. The scale of the vertical axis is set by E, = 10.0 x 10' N/C. Approximately, what is the net charge on the shell? E, 3. r (cm) 4. (5/N ,01) 7
There is an infinite sheet with surface charge density A 26 µC/cmin the yz plane at x=0. It creates an electric field. a) Find the magnitude of the electric field for the infinite sheet.