For the situation in problem 23.2, find the flux (in Nm²/C) through the y = a (right) face of the cube of side a = 1.60 m using an electric field with components in N/C of Ex = 4.0, Ey = -2.0(x/a - 3.0), and E₂ = 0. (5 sig. figs.)
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- 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?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? | 9+ b2) 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 X X X X X X X X XX X X X X 15 X XXX Z Figure 23-45 X X X X X X X X X X X X X X X X X X X X X X X X X X X X
- 5 pts The cube has sides of L-10cm. The electric field is uniform, has a magnitude of 500V/m and directed along x-axis. What is the electric flux through each of the cube faces located in y-z plane? inVm, 1 significant figure= charge 91 49 In Fig. 23-54, a solid sphere of radius a = 2.00 cm is concentric with a spherical conducting shell of inner ra- dius b 2.00a and outer radius c = 2.40a. The sphere has a net uniform +5.00 fC; the shell has a net charge q₂ = −9₁. What is the mag- nitude of the electric field at radial distances (a) r = 0, (b) r = a/2.00, (c) r = a, (d) r = 1.50a, (e) r = 2.30a, and (f) r = 3.50a? What is the net charge on the (g) inner and (h) outer surface of the shell? = Figure 23-54 Problem 49.8 Figure 23-27 shows four solid spheres, each with charge Q uniformly distributed through its volume. (a) Rank the spheres according to their volume charge density, greatest first. The figure also shows a point P for each sphere, all at the same distance from the center of the sphere. (b) Rank the spheres according to the mag- nitude of the electric field they produce at point P, greatest first. P. Pe P. P. (a) (b) (c) (d)
- R is removed from its middle region. Electric field at a distance 3R on axis of circular portion is V30 From an infinite non-conducting sheet having uniform surface charge density o a circular portion of radius V30 (d) 4 E0 (c) 2E0 (b) JBe. 3 E, (a) 2EoIn Fig.89 the metallic wire has a uniform linear charge density λ = 4 x 10-⁹C/m, the rounding radius R=10cm is much smaller than the length of the wire. Find the magnitude of the electric field at point "0". 001|2 R Fig-89The electric field everywhere on the surface of a charged sphere of radius 0.204 m has a magnitude of 510 N/C and points radially outward from th center of the sphere. (a) What is the net charge on the sphere? ]nc (b) What can you conclude about the nature and distribution of charge inside the sphere? Thie anewer hae not hean graded vet
- .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?CH23_Exercises_ PDF т •1 SSM The square surface shOwn in Fig. 23-30 measures 3.2 mm on each side. It is immersed in a uni- form electric field with magnitude E = 1800 N/C and with field lines at an angle of 9 = 35° with a normal to the surface, as shown. Take that normal to be directed "outward," as though the surface were one face of a box. Calculate the electric flux through the surfacœ. Normal Figure 23-30 Problem 1. II IIAn electric field in the region. Ey 2Acose Y3 r>a is given by A=constant. = Eo Asen E=0 Y 3 Find the volumetric charge density in this region.