A sphere of radius R surrounds a particle with charge Q located at its center as shown in Figure P23.43. Find the electric flux through a circular cap of half-angle θ.

An infinitely long rod lies along the x-axis and carries a uniform linear charge density λ = 5 μC/m. A hollow cone segment of height H = 27 cm lies concentric with the x-axis. The end around the origin has a radius R1 = 8 cm and the far end has a radius R2 = 16 cm. Refer to the figure. a. Consider the conic surface to be sliced vertically into an infinite number of rings, each of radius r and infinitesimal thickness dx. Enter an expression for the electric flux differential through one of these infinitesimal rings in terms of λ, x, and the Coulomb constant k.  b. Integrate the electric flux over the length of the cone to find an expression for the total flux through the curved part of the cone (not including the top and bottom) in terms of λ, H, and the Coulomb constant k. Enter the expression you find.  c. Calculate the electric flux, in N•m2/C, through the circular end of the cone at x = 0.  d. Calculate the electric flux, in N•m2/C, through the circular end of the cone at x = H.  e.…

A long hollow insulating cylinder has an inside radius a, outside radius b, and a uniform charge desity ρ. What is the electric field a distance r from the central axis? Give answers for r < a, a < r< b, and r > b

A conducting sphere is placed within a conducting spherical shell. The conductors are in electrostatic equilibrium. The inner sphere has a radius of 1.50 cm, the inner radius of the spherical shell is 2.25 cm, and the outer radius of the shell is 2.75 cm. The inner sphere has a charge of 228 nC and the spherical shell has zero net charge. What is the electric field at a point 3.80 cm from the center? Enter a positive answer if the electric field is directed away from the center and a negative answer if the electric field is directed toward the center.

A solid sphere of radius a is concentric with a hollow sphere of radius b, where b > a. If the solid sphere has a uniform charge distribution totaling +Q and the hollow sphere a charge of –Q, the electric field at radius r, where r < a, is which of the following, in terms of k = (4π∈0)–1? Choose the correct answer. kQ/b2 zero kQ/a2 kQr/a3 kQ/r2

The figure shows a very large nonconducting sheet that has a uniform surface charge density o = -2.70 µC/m2; it also shows a particle of charge Q = 7.40 µC, at distance d from the sheet. Both are fixed in place. If d = 23.0 cm, at what (a) positive and (b) negative coordinate on the x axis (other than infinity) is the net electric field of the sheet and particle zero? (c) If d = 70.0 cm, at what coordinate is É net = 0? (a) Number Units (b) Number i Units (c) Number i Units >

The question is in the picture.