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- A charged nonconducting rod, with a length of 2.00 m and a cross-sectional area of 4.00 cm2, lies along the positive side of an x axis with one end at the origin. The volume charge density r is charge per unit volume in coulombs per cubic meter. How many excess electrons are on the rod if r is (a) uniform, with a value of -4.00 mC/m3, and (b) nonuniform, with a value given by r = bx2, where b=-2.00 mC/m5?Given a 3.00 mm radius solid wire centered on the z-axis with an evenlydistributed 2.00 coulombs of charge per meter length of wire, draw the figure ofthe electric flux density Dp versus radial distance from the z-axis over the range 0≤ p≤ 9 mm.A spherical metallic object with a concentric hole inside initiallyholds a net charge of q1 = −3.84 nC. Then a particle with a charge ofq2 = 9.41 nC is placed at the center of the hole (held by a thin perfectnon-polarizable insulating material).The valueof the net charge on the outer surface of the conductor, upon reachingelectrostatic equilibrium, is most nearly
- A nonconducting spherical shell, with an inner radius of 4.0 cm and an outer radius of 6.0 cm, has charge spread nonuniformly through its volume between its inner and outer surfaces. The volume charge density r is the charge per unit volume, with the unit coulomb per cubic meter.For this shell r= b/r, where r is the distance in meters from the center of the shell and b = 3.0 mC/m2.What is the net charge in the shell?A (closed) Gaussian surface encloses 4 Lithium ions (Li+), 8 Chlo-ride ions (Cl−), and 8 neutral Oxygen atoms, only. The total electric flux through the Gaussian surface is most nearlyExamine the summary on page 780. Why are conductors and charged sources with linear symmetry, spherical symmetry, and planar symmetry categorized as special cases rather than major concepts or underlying principles?
- 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.Under electrostatic conditions, the excess charge on a conductor resides on its surface. Does this mean that all the conduction electrons in a conductor are on the surface?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.
- 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?What is the force on the charge q at the lower-right-hand comer of the square shown here?A charge of 30C is distributed uniformly a spherical volume of radius 10.0 cm. Determine the electric field due to this charge at a distance of (a) 2.0 cm, (b) 5.0 cm, and (c) 20.0 cm from the center of the sphere.