A thin conducting plate 1.0 m on the side is given a charge of −2.0 × 10−6 C . An electron is placed 1.0 cm above the center of the plate. What is the acceleration of the electron?

An object having a net charge of 25.9 µC is placed in a uniform electric field of 609 N/C directed vertically up. What is the mass of this object if it “floats" in the field? The acceleration due to gravity is 9.8 m/s?. Answer in units of g.

What should be the direction and magnitude of the vertical electric field that will balance the weight of a plastic sphere with the charge Q= +1.5 nC and mass m= 1.8 g? 3.2 x 10^5 N/C positive y-direction 1.2 x 10^6 N/C in +y-direction 1.2 x 10^6 N/C in negative y-direction 3.2 x 10^5 N/C in negative y-direction

A hydrogen atom is made up of a proton of charge +Q = 1.6x10-19C and an eledron of charge -Q = 1.6x10-19C. The proton may be regarded as a point charge at r = 0 the center of the atom. The motion of the eledtron causes its charge to be "smeared ouť into a spherical distribution around the proton, so that the electron is equivalentto a charge per unitvolume of (7) =-(Q/ra?)e"lao, where a, = 5.29x10-11 m is called the Bohr radius. (a) Find the total amount of the hydrogen atom's charge that is endosed within a sphere with radius centered on the proton. (b) Find the eledricfield (magnitude and diredion) caused by the charge of the hydrogen atom as a fundtion of (c) Make a graph as a function of rof the ratio of the eledtricfield magnitude to the magnitude of the field due to the proton alone Set up: 1. 1. The charge distribution in this task is spherically symmetric, so you can solve it using Gauss's law. 2. The charge within a sphere of radius r indudes the proton charge Qplus the…

A conducting sphere of radius r1 = 0.46 m has a total charge of Q = 2.9 μC. A second uncharged conducting sphere of radius r2 = 0.23 m is then connected to the first by a thin conducting wire. The spheres are separated by a very large distance compared to their size. r1 = 0.46 mr2 = 0.23 mQ = 2.9 μC What is the total charge on sphere two, Q2 in coulombs?

A uniformly charged spherical shell has inner and outer radii of 24.0 cm and 32.0 cm, respectively. A point charge of −45.0 nC is located at the center of the spherical shell. A proton orbits around this arrangement just outside the spherical shell with a speed of 8.32 ✕ 105 m/s. What is the volume charge density of the spherical shell? (Include the sign of the value.)

A charged 3.60 g glass bead hangs suspended in the air by an electric field. If the bead was charged by the removal of 7.10×1010 electrons, what must the electric field magnitude be?  2.56×1011 N/C 3.11×106 N/C 4.97×10-13 N/C 3.17×108 N/C

Three identical metallic conducting spheres carry the following charges: q1 = +4.60 μC, q2 = +1.80 μC, and q3 = −1.60 μC. The spheres that carry the charges q1 and q2 are brought into contact. Then they are separated. After that, one of those two spheres is brought into contact with the third sphere that carries the charge q3; those two are then separated as well. How many excess (or deficiency) electrons make up the final charge on the third sphere?

None