A long, conductive cylinder of radius R₁ = 3.20 cm and uniform charge per unit length = 151 pC/m is coaxial with a long, cylindrical, nonconducting shell of inner and outer radii R₂ = 11.2 cm and R3 = 12.8 cm, respectively. If the cylindrical shell carries a uniform charge density of p= 115 pC/m³, find the magnitude of the electric field E(r) at each radial distance indicated. E (1.95 cm) = E(12.0 cm) 0 Incorrect N/C N/C O E (9.76 cm) = E (18.9 cm) = 84.6 Incorrect Incorrect N/C N/C
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- A charge of uniform linear density 2.00 nC/m is distributed along a long, thin, nonconducting rod. The rod is coaxial with a long conducting cylindrical shell (inner radius = 4.60 cm, outer radius = 10.6 cm). The net charge on the shell is zero. (a) What is the magnitude of the electric field at distance r = 15.2 cm from the axis of the shell? What is the surface charge density on the (b) inner and (c) outer surface of the shell?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 UnitsA charge of uniform linear density 2.20 nC/m is distributed along a long, thin, nonconducting rod. The rod is coaxial with a long conducting cylindrical shell (inner radius = 5.40 cm, outer radius 10.0 cm). The net charge on the shell is zero. (a) What is the magnitude of the electric field at distance r = 15.4 cm from the axis of the shell? What is the surface charge density on the (b) inner and (c) outer surface of the shell? Stell-
- A nonconducting sphere with uniform charge density has a radius a and a total charge +2q; a nonconducting spherical shell (with uniform charge density) has an inner radius b, outer radius c, and total charge −q. Find expressions for the electric field in the regions (a) r < a, (b) a < r < b, (c) b < r < c, and (d) r > c. For parts (e) through (h), now assume the sphere and shell are conductors, though with their net charges unchanged; find expressions for the electric field in the regions (e) r < a, (f) a < r < b, (g) b < r < c, and (h) r > c.An electric field of magnitude E = 400 N/C points in the +x-direction for x > 0 and in the –x-direction for x < 0. A cylinder of length 30 cm and radius 10 cm has its center at the origin and its axis along the x-axis such that one end is at x = +15 cm and the other is at x = –15 cm. What is the flux through each end of the cylinder? Group of answer choices 0.25 kN·m2/C 0.13 MN·m2/C zero 1.3 kN·m2/C 13 N·m2/CA non-conducting solid sphere with a radius of 50.0 cm located at the origin has a charge of +3.00 µC spread uniformly throughout its volume. Concentric with the sphere is a conducting spherical shell that has an inner diameter of 2.00 m and an outer diameter of 2.50 m with a net charge of -2.50 µC. Calculate the magnitude and direction (either away or toward the origin) of the electric field at (a) r = 1.20 m, and (b) r = 3.00 m, where r is the distance from the origin. (c) What is the net charge on the inner and outer surfaces of the shell? (d) Include a diagram of the situation indicating both the sphere and the shell along with the Gaussian surfaces.
- A charge of uniform linear density 2.00 nC/m is distributed along a long, thin, nonconducting rod. The rod is coaxial with a long conducting cylindrical shell (inner radius = 4.20 cm, outer radius = 9.80 cm). The net charge on the shell is zero. (a) What is the magnitude of the electric field at distance r = 14.0 cm from the axis of the shell? What is the surface charge density on the (b) inner and (c) outer surface of the shell?A solid conducting sphere of radius 2.00 cm has a charge 17.00 µC. A conducting spherical shell of inner radius 4.00 cm and outer radius 5.00 cm is concentric with the solid sphere and has a total charge of -6.00 µC. (Take radially outward as the positive direction.) (a) Find the electric field at r = 1.00 cm from the center of this charge configuration. MN/C (b) Find the electric field at r = 3.00 cm from the center of this charge configuration. MN/C (c) Find the electric field at r = 4.50 cm from the center of this charge configuration. MN/C (d) Find the electric field atr = 7.00 cm from the center of this charge configuration. MN/CA uniformly charged disk with radius R = 40.0 cm and uniform charge density = 8.90 x 10-3 C/m² lies in the xy-plane, with its center at the origin. What is the electric field (In MN/C) due to the charged disk at the following locations? (a) z = 5.00 cm (b) z 10.0 cm (c) z = 50.0 cm™ (d) z 200 cm MN/C MN/C MN/C MN/C
- 1. Given the vectors M = -10āx + 4ã, – 8ả, and Ñ = 8å, + 7ã, – 2ã,, find: a. A unit vector in the direction of -M + 2Ñ b. The magnitude of 5å, + N – 3M c. M||2Ñ|(M + N)A charge of uniform linear density 2.40 nC/m is distributed along a long, thin, nonconducting rod. The rod is coaxial with a long conducting cylindrical shell (inner radius = 5.60 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 = 14.8 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 solid conducting sphere of radius 2.00 cm has a charge of 7.66 ?C. A conducting spherical shell of inner radius 4.00 cm and outer radius 5.00 cm is concentric with the solid sphere and has a charge of −2.84 ?C. Find the electric field at the following radii from the center of this charge configuration. find magnitude N/C and direction for all please. (a) r = 1.00 cm (b) r = 3.00 cm (c) r = 4.50 cm (d) r = 7.00 cm