Two plastic spheres The figure shows two thin plastic spherical shells (shown in cross section) that are uniformly charged. The center of the larger sphere is at < 0, 0, 0 >; it has a radius of 12 cm and a uniform posit charge of 7 x 10-9 C. The center of the smaller sphere is at < 25, 0, 0 > cm; it has a radius of 3 cm and a uniform negative charge of -2 x 10-9 C. (a) What is the electric field at location A (6 cm to the right of the center of the large sphere)? Neglect the small contribution of the polarized molecules in the plastic, because the shells are very thin and don't contain much matter. < 94.7 ]x 0 v > N/C (b) What is the electric field at location B (15 cm above the center of the small sphere)? Again, neglect the small contribution of the polarized molecules in the plastic, because the shells are very thin and don't contain much matter. x 0 v > N/C (c) What is the force on an electron placed at location B? x0 > N

Two plastic spheres The figure shows two thin plastic spherical shells (shown in cross section) that are uniformly charged. The center of the larger sphere is at < 0, 0, 0 >; it has a radius of 12 cm and a uniform posit charge of 7 x 10-9 C. The center of the smaller sphere is at < 25, 0, 0 > cm; it has a radius of 3 cm and a uniform negative charge of -2 x 10-9 C. (a) What is the electric field at location A (6 cm to the right of the center of the large sphere)? Neglect the small contribution of the polarized molecules in the plastic, because the shells are very thin and don't contain much matter. < 94.7 ]x 0 v > N/C (b) What is the electric field at location B (15 cm above the center of the small sphere)? Again, neglect the small contribution of the polarized molecules in the plastic, because the shells are very thin and don't contain much matter. x 0 v > N/C (c) What is the force on an electron placed at location B? x0 > N

University Physics Volume 2

18th Edition

ISBN:9781938168161

Author:OpenStax

Publisher:OpenStax

Chapter6: Gauss's Law

Section: Chapter Questions

Problem 49P: Determine if approximate cylindrical symmetry holds for the following situations. State why or why...

See similar textbooks

Similar questions

A 10.0-g piece of Styrofoam carries a net charge of 0.700 C and is suspended in equilibrium above the center of a large, horizontal sheet of plastic that has a uniform charge density on its surface. What is the charge per unit area on the plastic sheet?
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.
Suppose the conducting spherical shell of Figure 15.29 carries a charge of 3.00 nC and that a charge of -2.00 nC is at the center of the sphere. If a = 2.00 m and b = 2.40 m. find the electric field at (a) r = 1.50 m, (b) r = 2.20 m, and (c) r = 2.50 m. (d) What is the charge distribution on the sphere?
A charged rod is placed in the center along the axis of a neutral metal cylinder (Fig. F25.57). The rod has a total charge of 38.3 C uniformly distributed. What are the charges on the inner and outer surfaces of the metal cylinder? (Ignore the ends.) FIGURE P25.57 Problems 57 and 58.
A non-uniformly charged semicircle of radius R=10.9 cm lies in the xy plane, centered at the origin, as shown. The charge density varies as the angle θ (in radians) according to λ=1.15θ, where λ has units of μC. What is the y component of the electric field at the origin? I have already found the total charge to be 6.186E-7 C.
Two concentric spherical shells of radii 5 cm and 10 cm are charged uniformly with 5 μC and -9 μC, respectively. Find the force acting on a point charge 5 μC located at a point r=7.5 cm (right in between the shells). [Hint: you want to find the electric field at that point.] Find the force in N.
A charge of 29 pC is distributed uniformly on a spherical surface ( r1=2 cm), and a second charge of -13.8 pC is distributed uniformly on a concentric thin spherical surface ( r2= 4 cm). Determine the magnitude of the electric field ( in units of N/C ) at a distance of 5 cm from the center of the two surfaces.
A positively charged particle is held at the center of a spherical shell. The figure gives the magnitude E of the electric field versus radial distance r. The scale of the vertical axis is set by Es = 13.5 × 107 N/C. Approximately, what is the net charge on the shell?Assume rs = 2 cm.
A thin, metallic, spherical shell of radius a = 7.0 cm has a charge qa = 9.00×10^-6 C. Concentric with it is another thin, metallic, spherical shell of radius b = 16.80 cm and charge qb = 4.00×10^-6 C. Find the electric field at radial points r where r = 0.0 cm. Find the electric field at radial points r where r=25.2 cm. What is the charge on the outer surface of the outer shell?
Three narrow concentric rings of radii 50 mm, 70 mm and 90 mm are centered about the origin, with the axis of symmetry of each ring along the y axis. The charge on inner ring 1.6 microC that on the middle ring is -1.3 microC and that on the outer ring is 1.5 microC a. What is the electric field magnitude at (0,100 mm,0) ?
Two very large parallel sheets are 5.00 cm apart. Sheet A carries a uniform surface charge density of -7.30 μC/m2 , and sheet B, which is to the right of A, carries a uniform charge density of -11.6 μC/m2 . Assume that the sheets are large enough to be treated as infinite. Find the magnitude and direction of the net electric field these sheets produce at a point 4.00 cm to the left and right of sheet A and 4.00 cm to the right of sheet B.