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Figure (a) shows a narrow charged solid cylinder that is coaxial with a larger charged cylindrical shell. Both are nonconducting and thin and have uniform surface charge densities on their outer surfaces. Figure (b) gives the radial component E of the electric field versus radial distance r from the common axis. The vertical axis scale is set by Es= 3.0 × 10³ N/C. What is the linear charge density of the shell? (a) Es 0 -Es Number i -12.68 r (cm) (b) Units nC/m 14.4

A long, conductive cylinder of radius R1=2.80 cm and uniform charge per unit length 1-453 pC/m is coaxial with a long, cylindrical, nonconducting shell of inner and outer radii R2=9.80 cm and R3=11.2 cm, respectively. If the cylindrical shell carries a uniform charge density of p=79.8 pC/m3, find the magnitude of the electric field at each radial distance indicated. 1.15 cm: 8.96 cm: 10.6 cm: 14.3 cm:

A thin nonconducting spherical shell of radius 6 cm carries a uniform surface charge density sigma = 8 nC/m^2. (a) What is the total charge on the shell? nC Find the electric field at the following radii (b) r = 2 cm N/C (c) r = 5.9 cm N/C (d) r = 6.1 cm N/C (e) r = 13 cm N/C

In the figure, a solid insulating sphere of radius a = 2.00 cm is concentric with a spherical conducting shell of inner radius b = 2.00 a and of outer radius c = 2.40 a. The sphere has a net charge of q₁ = +5.00 fC uniformly distributed throughout its volume; the shell has a net charge q2 = -91. What is the magnitude and direction of the electric field at radial distances (a) r = 0.50 a and (b) r = 2.30 a? (c) What is the net charge on the inner and outer surface of the shell? (d) Include a diagram of the Gaussian surfaces used in your calculations. a C b

Point P sets above an infinite line of charge 2 m in the positive z direction. The line of charge itself has a charge density ? of -5.0 x 10⁶ C/m. What is the magnitude of the electric field at point P?

A long solid copper cylinder has a radius of R=3.0cmR=3.0cm and a uniform (linear) surface charge density of 5.75μC/mμC/m. What is the magnitude of the electric field, in newtons per coulomb, at a distance of 1.5 cm from the symmetry axis of the cylinder?

A small conducting ball that carries a charge of 30.0 nC is located at the center of an electrically neutral hollow conducting sphere with an inner radius of 100 mm and an outer radius of 150 mm. What are the surface charge density (a) on the sphere's inner surface and (b) on its outer surface? (c) Determine the electric field as a function of r, the radial distance from the center of the sphere.

An infinite sheet charge of has a charge density of +44.81 pC/m2 and covers the entire x-y plane. A second infinite sheet of charge has a charge density of −53.2 pC/m2 covers the entire y-z plane. What is the magnitude of the electric field at any point not on either surface?

A charge of uniform linear density 2.80 nC/m is distributed along a long, thin, nonconducting rod. The rod is coaxial with a long conducting cylindrical shell (inner radius = 5.80 cm, outer radius = 9.20 cm). The net charge on the shell is zero. (a) What is the magnitude of the electric field at distance r = 15.0 cm from the axis of the shell? What is the surface charge density on the (b) inner and (c) outer surface of the shell? Gaussian cylinder Shell Rod (a) (a) Number i Units (b) Number i Units (c) Number i Units