A ring with radius R and a uniformly distributed total charge Q lies in the xy plane, centered at the origin. (Figure 1) ring Figure 1 of 1 +y

A disk with radius R and uniform positive charge density o lies horizontally on a tabletop. A small plastic sphere with mass M and positive charge hovers motionless above the center of the disk, suspended by the Coulomb repulsion due to the charged disk. At what height h does the sphere hover? Express your answer in terms of the dimensionless constant v = 20 Mg/ (Qo). Express your answer in terms of some or all of the variables R and v. h = R- 1-v √(2-v)v Submit Part C h = Previous Answers Correct If M = 300 g, Q = 1.0 μC, R = 6.0 cm, and o = 10 nC/cm², what is h? Express your answer with the appropriate units. μᾶ Value 2 Units Submit Previous Answers Request Answer ? <

Ra1 +9 -9 Rea Consider two concentric spherical conductors, separated by an isolating material with (absolute) permittivity e. The two conductors have radius R1 and R2, they are put on a potential V and V2, which leads to a charge +q and –q sitting on them, respectively. By the problem's spherical symmetry, we see that the charge on each conductor is distributed uniformly, and that, in spherical coordinates, the electric field between the two conductors is of the form E(r) = -E(r) er. Determine the capacity C using the following steps: 1. Use Gauss's Law in integral form, with N a ball of radius r (R2 < r < R1), to find an expression for E(r) in terms of q. 2. Calculate AV = Vị – V2 using the formula - E•dr Δν and with C the black line segment indicated on the drawing (parallel with e,). 3. The capacity now follows from C = q/AV.

Consider a cylindrical distribution of charge whose base coincides with the plane z = 0, length is L, radius is r and axis on the z-axis. The cylindrical surface has a surface charge of P coulomb per meter squared. Find electric field given a coordinate at (0,0,h).

In empty space (er = 1), the region x1 <x <x2 is filled with material with a dielectric coefficient er = 4 as a planar infinitely large plate. The geometry is shown in the figure below. Pay attention to the coordinate system placement.Region I: In (x <x1), the electric field vector is observed as E1 = (- 0.5) ux + (5.5) uy + (-1.5) uz.Region II : By determining (x1 <x <x2) value er = 4 electric field E2,|E2|,write its value numerically.

Sections AB and CD of a thin non-conducting ring of radius R are uniformly (with constant linear density) charged with charge + q and −q, respectively. The points ABCD form the vertices of the square. Find the electric field in the center of the ring.

A very long line charge having a charge density A is surrounded by a conducting cylindrical shell with inner radius r, = 4.87 cm and outer radius r = 7cm as shown in the figure. System is in electrostatic equilibrium condition. What would be the electric difference AV = V(r=0.55 cm) - V(r= 6.4 cm) ? Provide your answer in terms of Ak with 2 significant figures. potential 6 P Answer:

Early in the 20th century, a leading model of the structure of the atom was that of English physicist J. J. Thomson (the discoverer of the electron). In Thomson’s model, an atom consisted of a sphere of positively charged material in which were embedded negatively charged electrons, like chocolate chips in a ball of cookie dough. Consider such an atom consisting of one electron with mass m and charge -e, which may be regarded as a point charge, and a uniformly charged sphere of charge +e and radius R.  By that time time, it was known that excited atoms emit light waves of only certain frequencies. In his model, the frequency of emitted light is the same as the oscillation frequency of the electron (s) problems in the atom. What radius (in millimeter) would a Thomson-model atom need for it to produce red light of frequency 4.57 x 1014 Hz? (Don't express your answer in scientific notation)

Very thin insulating spherical shells (membrane) with a radius of a = 1(m), b = 2(m), c = 3(m) each with different charges are placed concentrically as in the figure. Charges are uniformly distributed on spherical shells are respectively Qa = -4 (C), Qb = 3 (C) and Q = 2 (C), respectively. In the figurer is the radial distance measured outward from the origin. What is the potential at point A distance r = (m) from the origin? (The potential at infinite is zero.) 12 5 16 A) - 1 k 15 B) 37 -k 33 C) - 24 k 13 D) - 12 k 44 E) - ++ k 39 b.