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- Assume you have a line of positive charge with a linear charge density of 10.0 µC/m. Assume that this line of charge is infinitely long and lies on the z-axis (which is perpendicular to both the x- and y-axes). a) Find the strength and direction of the electric field associated with this line of charge at (0.5 m, 0 m, 0 m) The strength of the field at the stated point is N/C and the direction of the field at the stated point is O-x O+x O-y O+y O-z O+z b) Find the strength and direction of the electric field associated with this line of charge at (0 m, 0.5 m, 5 m) The strength of the field at the stated point is N/C and the direction of the field at the stated point is O-x O+x O-y O+y O-z O+z c) Find the strength and direction of the electric field associated with this line of charge at (2.0 m, 0 m, Om) The strength of the field at the stated point is N/C and the direction of the field at the stated point is O-x O+x O-y O+y O-z O+zA charge of uniform linear density 2.20 nC/m is distributed along a long, thin, nonconducting rod. The rod is coaxial with a long conducting cylindrical shell (inner radius = 5.40 cm, outer radius 10.0 cm). The net charge on the shell is zero. (a) What is the magnitude of the electric field at distance r = 15.4 cm from the axis of the shell? What is the surface charge density on the (b) inner and (c) outer surface of the shell? Stell-The figure shows a cross-section of a spherical cavity of radius 11.7 cm at the center of a metal sphere of radius 56 cm. A point charge q = 22.1 nC rests at the center of the cavity and the metal conductor carries no net charge. Determine the magnitude of the electric field at a point 73.6 cm from the center of the cavity. Cavity + q
- A -12 nC charge is located at (x,y)=(1.0 cm, 0 cm). What is the electric field at the position (x1,y1)=(5.0 m, 0c cm), (x2,y2)=(-5.0 cm, 0 cm) and (x3,y3)=(0 cm, 5.0 cm) in component form?Enter the xand y components of the electric field in newtons per coulomb separated by a comma.A long straight wire has fixed negative charge with a linear charge density of magnitude 4.8 nC/m. The wire is to be enclosed by a coaxial, thin-walled, nonconducting cylindrical shell of radius 1.2 cm. The shell is to have positive charge on its outside surface with a surface charge densitys that makes the net external electric field is zero. Calculate s.A charge Q = -10 nC sits at the center of a thick uncharged conducting spherical shell with inner radius R1 = 3.0 m and outer radius R2 = 4.0 m. Find the magnitude and direction of the electric field at a distance of (a) 2.0 m, (b) 3.5 m, and (c) 4.5 m away from the charge. R. R, 1.
- aneli 王+ ++ ++d m A flat slab of nonconducting material has thickness 2d, which is small compared to Lar its height and breadth. As shown in the figure, the x axis is defined to be along the drection of the slab's thickness with the origin at the center of the slab. This slab region the charge density p(x) = -Po in carries volume a -dsx<0 and p(x) = +P, in the region 0A sphere has a constant charge density pand radius R. It has spherical cavity with radius r is. The center o' of the cavity is at the position (x=0, y=a, z=0). rR, what is the electric field at the field point? Field point d R y o a o'A conducting sphere of 3.0 cm radius has a cavity of 2.0 cm radius and sharing the samecenter. First,– 10 nC of charge is dropped on the sphere. Then a + 8.0 nC point charge isintroduced at the center of the cavity. a) How much charge is at the inside surface of the sphere, after the point charge wasplaced at the center? Justify your answer using Gauss’ Law. b) How much charge is at the outer surface of the sphere, after the point charge wasplaced at the center? Justify your answer. c) Calculate and show the direction of the net electric field at 1.0 cm, and at 4.0 cmfrom the center, after the point charge was placed at the center.