There are two uncharged concentric conducting spherical shells and a separate point charge. The smaller shell has an inner radius of 0.100m and an outer radius of 0.200m. The larger shell has an inner radius of 0.300m and and outer radius of 0.400m. A point charge of +10.0μC is placed between the two shells at a radius of 0.250m from the origin. Determine the net charge on each of the four surfaces (r = 0.1,0.2, 0.3, 0.4) and make a sketch that indicates BOTH the electric field lines and the surface charge densities. (this sketch does not have to be exactly mathematically correct, but use intuition)

Find the x and y component of the electric field (in newtons per coulomb) at the centre of the square.

Two spherical, hollow conductors are concentrically nested as shown in the cross-sectional diagram below and electrically isolated from each other. A net charge of -3 nC is divided between the conductors, with a total of -12 nC on the inner conductor and +9 nC on the outer one. The charges are, of course, free to move between the surfaces within each shell but cannot move from one shell to the other. The inner conductor has an inner radius of a=2 cm, outer radius of b=3 cm. The outer conductor has an inner radius of c=6 cm, an outer radius of d=8 cm. a (a) In equilibrium, all of the excess charge is found on the surfaces. Why is there no charge between a and b, nor between c and d? (b) Determine the net charge on each surface (ie how much charge is there at r = a, at r = b, at r = c and at r= = d). (c) Is the charge on the outer surface equal to the net charge on the outer container, the net charge of the system, or some other amount? Explain briefly. (d) Find the surface charge…

provide answer with full explanation ( only type )

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?

Astronauts on a distant planet throw a rock straight upward and record its motion with a video camera. After digitizing their video, they are able to produce the graph of height, y, versus time, t, shown in the figure y (m) 30 25 20 15 10 1 2 t (s) 3 4 5 6 7 8 What is the acceleration of gravity on this planet? What was the initial speed of the rock? 5

A total charge of Q = 60 microC is split into three equal point charges located 120 deg apart on a circle defined by a radius of 4 [m] and lying in the x-y plane. Find the magnitude of the electric field at the center of the three charges. Please, provide a detailed answer with explanation and drawings to understand. Thank you in advance!

The figure below shows a small, charged bead, with a charge of q = +42.0 nC, that moves a distance of d = 0.189 m from point A to point B in the presence of a uniform electric field  E  of magnitude 270 N/C, pointing right. A positive point charge q is initially at point A, then moves a distance d to the right to point B. Electric field vector E points to the right. (a) What is the magnitude (in N) and direction of the electric force on the bead? magnitude Ndirection     (b) What is the work (in J) done on the bead by the electric force as it moves from A to B?  J (c) What is the change of the electric potential energy (in J) as the bead moves from A to B? (The system consists of the bead and all its surroundings.) PEB − PEA =  J (d) What is the potential difference (in V) between A and B? VB − VA =  V

Two charged spheres on a frictionless horizontal surface are attached to opposite ends of a string & are in static equilibrium. The 39 kg red sphere has more charge than the 22 kg green sphere. The total charge magnitude on the spheres is 120 ?C & they have the same polarity. As a result the tension is 202.5 N & the centers of the spheres are 0.39 m apart. Find the charge magnitude on each sphere. Qred (bigger charge) = Qgreen (smaller charge) =