In insulated cylinder of infinite length and radius R has a charge density of p (6.00 C/m²) r. Find the electric field both inside and outside the cylinder.
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- A thick insulating spherical shell of inner radius a=1.2R and outer radius b=5.5R has a uniform charge density p. b. What is the magnitude of the electric field at r=8.9 R ? Express your answer using one decimal place in units of pR €oA thick insulating spherical shell of inner radius a=2.1R and outer radius b=9.9R has a uniform charge density p. pR What is the magnitude of the electric field at r=4.5 R ? Express your answer using one decimal place in units ofA thick insulating spherical shell of inner radius a=2.4R and outer radius b=6.1R has a uniform charge density p. pR What is the magnitude of the electric field at r=5.6 R ? Express your answer using one decimal place in units of €o
- A thin rod carries linear charge density according to the distribution X(z) = Aox/L, where Xo = 29.7 nC/cm and L is the length of the rod. The rod extends from x = 0 cm tc I=28 cm. What is the magnitude of the electric field at a location = 6.0 cm? (please provide your answer in kN/C to 1 decimal place) Type your answer.....A thick insulating cylindircal shell of inner radius a=2.9R and outer radius b=6.8R has a uniform charge density p. PR What is the magnitude of the electric field at r=8.3 R ? Express your answer using one decimal place in units ofConsider two thin disks, of negligible thickness, of radius R oriented perpendicular to the x axis such that the x axis runs through the center of each disk. The disk centered at x=0 has positive charge density η, and the disk centered at x=a has negative charge density −η, where the charge density is charge per unit area. What is the magnitude E of the electric field at the point on the x axis with x coordinate a/2? Express your answer in terms of η, R, a, and the permittivity of free space ϵ0.
- A thin, square, conducting plate 54.0 cm on a side lies in the xy plane. A total charge of 3.20 x 10-8 C is placed on the plate. You may assume the charge density is uniform. (a) Find the charge density on each face of the plate. C/m² (b) Find the electric field just above the plate. magnitude N/C direction upward ◊ (c) Find the electric field just below the plate. magnitude N/C direction downward ↑An infinitely long, solid cylindrical insulator has radius R1 = 14 cm and volume charge density p. The electric field at the curved surface of the cylinder is measured to have magnitude E1 = 9.4 x 103 N/C. A solid sphere with radius R1 = 30 cm has the same charge density p. Determine the electric field E2 at the sphere's surface in terms of E1, R1, and R2.A thick insulating cylindircal shell of inner radius a=1.9R and outer radius b=7.6R has a uniform charge density p. What is the magnitude of the electric field at r=9.3 R ? Express your answer using one decimal place in units of PR €0
- Charge Q is distributed uniformly throughout the volume of an insulating sphere of radius R = 4.00 cm. At a distance of r = 8.00 cm from the center of the sphere, the electric field due to the charge distribution has magnitude 840 N/C. The charge density is calulated as: p = 2.2×10−6 Cm3 What is the magnitude of the electric field at a distance of 2.00 cm from the sphere's center?An infinitely long wire that has a radius of 3 cm contains a uniform charge density of 15 μC/m 2. Determine the total charge present in a 3.0-m long section of the copper wire and the magnitude of the electric field at a distance of 12 m from the wire.The electric field just above the surface of the charged drum of a photo copying machine has a magnitude E of . 3 × 105 ?/? . What is the surface charge density on the drum if it is a conductor?