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- The electric field 10.0 cm from the surface of a copper ball of radius 5.0 cm is directed toward the ball's center and has magnitude 4.0102 N/C. How much charge is on the surface of the ball?The surface charge density on a long straight metallic pipe is . What is the electric field outside and inside the pipe? Assume the pipe has a diameter of 2a.A long copper cylindrical shell of inner radius 2 cm and outer radius 3 cm surrounds concentrically a charged long aluminum rod of radius 1 cm with a charge density of 4 pC/m. All charges on the aluminum rod reside at its surface. The inner surface of the copper shell has exactly charge to that of the aluminum rod while the outer surface of the copper shell has the same charge as the aluminum rod. Find the magnitude and direction of the electric field at points that are at the following distances from the center of the aluminum rod: (a) 0.5 cm, (b) 1.5 cm, (c) 2.5 cm, (d) 3.5 cm, and (e) 7 cm.
- A charge of q = 2.00 109 G is spread evenly on a thin metal disk of radius 0.200 m. (a) Calculate the charge density on the disk. (b) Find the magnitude of the electric field just above the center of the disk, neglecting edge effects and assuming a uniform distribution of charge.Determine if approximate cylindrical symmetry holds for the following situations. State why or why not. (a) A 300-cm long copper rod of radius 1 cm is charged with +500 nC of charge and we seek electric field at a point 5 cm from the center of the rod. (b) A 10-cm long copper of radius 1 cm is charged with +500 nC of charge and we seek electric field at a point 5 cm from the center of the rod. (c) A 150-cm wooden rod is glued to a 150-cm plastic rod to make a 300 cm long rod, which is then painted with a charged paint so that one obtains a uniform charge density. The radius of each rod is 1 cm, and we seek an electric field at a point that is 4 cm from the center of the rod. (d) Same rod as (c), but we seek electric field at a point that is 500 cm from the center of the rod.An aluminum spherical ball of radius 4 cm is charged with 5C of charge. A copper spherical shell of inner radius 6 cm and outer radius 8 cm surrounds it. A total charge of 8C is put on the copper shell. (a) Find the electric field at all points in space, including points inside the aluminum and copper shell when copper shell and aluminum sphere are concentric. (b) Find the electric field at all points in space, including points inside the aluminum and copper shell when the centers of copper shell and aluminum sphere are 1 cm apart.
- The radius of a long linear metal rod is 3 cm, which is 4 cm from the axis of the rodif the magnitude of the electric field is given as 3200 N/C, the linear charge of this metal rod isfind its density.A sphere centered at the origin has a radius 0.200 m. A -4.20-µC charge is on the x-axis at x = 0.500 m. The net flux throught the sphere is 400 N·m2 / C. Calculate the total charge inside the sphere.A conducting sphere of 3.0 cm radius has a cavity of 2.0 cm radius and sharing the same center. First,- 10 nC of charge is dropped on the sphere. Then a + 8.0 nC point charge is introduced at the center of the cavity. a) How much charge is at the inside surface of the sphere, after the point charge was placed 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 was placed 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 cm from the center,
- a thin wire with L=22.13cm has a uniform linear charge density of 5.635×10^-8 C/m . This wire is curved into a semicircle with radius of R=L/π. İf the semicircle is centered at the origin. pleasu find magnitude and direction of rhe electric feild at origin.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 0The 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 vetSEE MORE QUESTIONS