A point charge of 4 cos 10% μC is located at P4(0,0,1.5), while -4 cos 10% nt μC is at P_(0, 0, -1.5), both in free space. Find V at P(r= 450, 0, 0 = 0) at t = 15 ns for 0: (a) 0°; (b) 90°; (c) 45°. Ans. 159.8 V; 0; 107.1 V
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- A point charge, q = -5.0 nC, and m = 2.0 x 10-18 kg, is shot vertically upward with an initial speed of 3.0 x 105 m/s from a thin, infinite, planar sheet of uniform charge with surface charge density of σ = +4.0 nC/m^2 . To what vertical elevation will q rise above the sheet of charge? Neglect gravityA 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 nearlyThe free electrons in a metal are gravitationally attracted toward the earth. Why, then, don’t they all settle to the bottom of the conductor, like sediment settling to the bottom of a river?
- A point charge, q = +8.00 pC, and mass, m = 2.00 x 10-14 kg starts from rest on a planar, infinite sheet of charge with uniform charge density, +3.00 pC. When the point charge rises 1.00 cm above the infinite sheet, how fast will it be moving?The magnitude of the electric fie ld at a distance r from a point charge O is equal to O/4πεor2. How close to a water molecule (of polarizability volume 1.48 x 1-30 m3) must a proton approach before the dipole moment it induces is equal to the permanent dipole moment of the molecule (1.85 D)?A 19.3 g mass is suspended 1.39 cm above a nonconducting flat plate, directly above an embedded charge of q. If the mass has the same charge q, how much must q be so that the mass levitates (just floats, neither rising nor falling)? If the charge q is produced by adding electrons to the mass, by how much will the mass be changed?
- Assuming that a cloud of electrons confined in a region between two spheres of radii 1 cm and 3 cm has a charge density of: (0.0003cos2theta)/R2 Coulomb/m3 Find the total charge contained in the regionIn a follow-up experiment, a charge of +40 pC was placed atthe center of an artificial flower at the end of a 30-cm-long stem. Beeswere observed to approach no closer than 15 cm from the center of thisflower before they flew away. This observation suggests that the smallestexternal electric field to which bees may be sensitive is closest towhich of these values? (a) 2.4 N/C; (b) 16 N/C; (c) 2.7 * 10^-10 N/C;(d) 4.8 * 10^-10 N/C.Science fiction author Larry Niven hypothesized a device that could neutralize the electric charge on the electrons in a object. When this happened, the mutual repulsion between the protons would rip the object apart on an atomic level, but rather than being instantaneous, the process took several seconds to take full effect.Suppose that this device is used on a 20.0-g block of lead, which is held rigidly fixed in place. The device neutralizes the charge of 2.3% of the electrons. Before the lead block rips itself apart, it is put into contact with a 20.0-g lead bullet which is initially uncharged. The bullet immediately contributes enough electrons to the block that the charges on the block and bullet are equal, and then the force of electrostatic repulsion launches the bullet. What is the charge on the bullet just before it launches? Assume that lead has an an atomic mass of 207.2 g/mol, and there are 82 electrons in a lead atom. -9300 C 8800 C 9300 C -8800 C 5.48 x 1022 C
- A gold nucleus has a radius of 7.3×10-15 m and a charge of +79e. Through what voltage must an α-particle, with its charge of +2e, be accelerated so that it has just enough energy to reach a distance of 2.5×10−14 m from the surface of a gold nucleus? (Assume the gold nucleus remains stationary and can be treated as a point charge.)A conducting sphere has a net charge of – 1.28 × 10-16?. What isthe approximate number of excess electrons on the sphere?Is the electric field inside a metal always zero?