Physics for Scientists and Engineers
6th Edition
ISBN: 9781429281843
Author: Tipler
Publisher: MAC HIGHER
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Chapter 22, Problem 38P
(a)
To determine
The total charge on the shell
(b)
To determine
The electric field at a distance
(c)
To determine
The electric field at a distance
(d)
To determine
The electric field at a distance
(e)
To determine
The electric field at a distance
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If a solid insulating sphere of radius 50 cm carries a total charge of 150 µC uniformly distributed throughout its volume, what is its:
a) volume charge density?
b) What is the magnitude of the electric field at 10 cm
c) 65 cm from the center of the sphere.
A cylindrical shell of length 200 m and radius 8 cm carries a uniform surface charge density of o = 11 nC/m2.
(a) What is the total charge on the shell?
nc
Find the electric field at the ends of the following radial distances from the long axis of the cylinder.
(b) r = 4 cm
N/C
(C) r = 7.9 cm
N/C
(d) r = 8.1 cm
N/C
(e) r = 12 cm
N/C
A long nonconducting cylinder (radius 6.0 mm) has a nonuniform volume charge density
given by ar, where a= 6.2 mC/m' and r is the distance from the axis of the cylinder. What
is the magnitude of the electric field at a point 2.0 mm from the axis?
Chapter 22 Solutions
Physics for Scientists and Engineers
Ch. 22 - Prob. 1PCh. 22 - Prob. 2PCh. 22 - Prob. 3PCh. 22 - Prob. 4PCh. 22 - Prob. 5PCh. 22 - Prob. 6PCh. 22 - Prob. 7PCh. 22 - Prob. 8PCh. 22 - Prob. 9PCh. 22 - Prob. 10P
Ch. 22 - Prob. 11PCh. 22 - Prob. 12PCh. 22 - Prob. 13PCh. 22 - Prob. 14PCh. 22 - Prob. 15PCh. 22 - Prob. 16PCh. 22 - Prob. 17PCh. 22 - Prob. 18PCh. 22 - Prob. 20PCh. 22 - Prob. 21PCh. 22 - Prob. 22PCh. 22 - Prob. 23PCh. 22 - Prob. 24PCh. 22 - Prob. 25PCh. 22 - Prob. 26PCh. 22 - Prob. 27PCh. 22 - Prob. 28PCh. 22 - Prob. 29PCh. 22 - Prob. 30PCh. 22 - Prob. 31PCh. 22 - Prob. 32PCh. 22 - Prob. 33PCh. 22 - Prob. 34PCh. 22 - Prob. 35PCh. 22 - Prob. 36PCh. 22 - Prob. 37PCh. 22 - Prob. 38PCh. 22 - Prob. 39PCh. 22 - Prob. 40PCh. 22 - Prob. 41PCh. 22 - Prob. 42PCh. 22 - Prob. 43PCh. 22 - Prob. 44PCh. 22 - Prob. 45PCh. 22 - Prob. 46PCh. 22 - Prob. 47PCh. 22 - Prob. 48PCh. 22 - Prob. 49PCh. 22 - Prob. 50PCh. 22 - Prob. 51PCh. 22 - Prob. 52PCh. 22 - Prob. 53PCh. 22 - Prob. 54PCh. 22 - Prob. 55PCh. 22 - Prob. 56PCh. 22 - Prob. 57PCh. 22 - Prob. 58PCh. 22 - Prob. 59PCh. 22 - Prob. 60PCh. 22 - Prob. 61PCh. 22 - Prob. 62PCh. 22 - Prob. 63PCh. 22 - Prob. 64PCh. 22 - Prob. 65PCh. 22 - Prob. 66PCh. 22 - Prob. 67PCh. 22 - Prob. 68PCh. 22 - Prob. 69PCh. 22 - Prob. 70PCh. 22 - Prob. 71PCh. 22 - Prob. 72PCh. 22 - Prob. 73PCh. 22 - Prob. 74PCh. 22 - Prob. 75PCh. 22 - Prob. 76PCh. 22 - Prob. 77PCh. 22 - Prob. 78PCh. 22 - Prob. 79PCh. 22 - Prob. 80PCh. 22 - Prob. 81PCh. 22 - Prob. 82PCh. 22 - Prob. 83PCh. 22 - Prob. 84PCh. 22 - Prob. 85PCh. 22 - Prob. 86PCh. 22 - Prob. 87PCh. 22 - Prob. 88P
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Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.Similar questions
- 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 E, = 3.0 x 10° N/C. What is the linear charge density of the shell? 12.6 -Es r (cm) (a) (b) Number i -5.8 Units nC/marrow_forwardIf a solid insulating sphere of radius 50 cm carries a total charge of 150 µC uniformly distributedthroughout its volume, what is its a) volume charge density? What is the magnitude of the electricfield at b) 10 cm and c) 65 cm from the center of the sphere.arrow_forwardA 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/Carrow_forward
- An infinite cylindrical conductor has an inner radius ra =57.9mm and an outer radius 70.4mm. The conductor has a linear charge density of A₁ =136. On the axis of the cylinder is an infinite line charge with linear charge density ₂ = -9€. Determine the electric field magnitude at the point r = 31.03mm (in) C Oarrow_forwardA point charge of -3.00 micro Coulomb is located in the center of a spherical cavity of radius 6.50 cm that, in turn, is at the center of an insulating charged solid sphere. The charge density in the solid is 7.35 x 10-4 C/m3. Calculate the electric field (in N/C) inside the solid at a distance of 9.50 cm from the center of the cavity. Don't express the answer in scientific notation.arrow_forwardA sphere of radius 5.00 cm carries charge +3.00 nC. Calculate the electric-field magnitude at a distance 4.00 cm from the center of the sphere and at a distance 6.00 cm from the center of the sphere if the sphere is (a) a solid insulator with the charge spread uniformly throughout its volume and (b) a solid conductor.arrow_forward
- A point charge of -3.00 micro Coulomb is located in the center of a spherical cavity of radius 6.50 cm that, in turn, is at the center of an insulating charged solid sphere. The charge density in the solid is 7.35 x 10-4 C/m3. Calculate the electric field (in N/C) inside the solid at a distance of 9.50 cm from the center of the cavity.arrow_forwardA thin nonconducting spherical shell of radius 6 cm carries a uniform surface charge density o = 14 nC/m2. (a) What is the total charge on the shell? nc Find the electric field at the following radii (b) r = 2.1 cm N/C (c) r = 5.9 cm N/C (d) r = 6.1 cm N/C (e) r = 19 cm N/Carrow_forwardO Macmillan Learning A sphere of radius R₁ = 0.340 m and uniform charge density -43.5 μC/m³ lies at the center of a neutral, spherical, conducting shell of inner and outer radii R₂ = 0.558 m and R3 = 0.770 m, respectively. Find the surface charge density on the inner and outer surfaces of the shell. inner surface charge density: 1.83 outer surface charge density: 96 μC/m² μC/m² | R₁ R₂ R3arrow_forward
- A sphere centered at the origin has a radius 0.200 m. A -4.20-µC charge is on the x-axis at x = 0.500 m. The net flux throught the sphere is 400 N·m2 / C. Calculate the total charge inside the sphere.arrow_forwardThe electric field everywhere on the surface of a thin, spherical shell of radius 0.700 m is of magnitude 855 N/C and points radially toward the center of the sphere. (a) What is the net charge within the sphere's surface? 1.16e-8 If a positive charge exists inside the sphere, what direction would the electric field point outside the sphere? nC (b) What is the distribution of the charge inside the spherical shelI? O The positive charge has a spherically symmetric charge distribution. O The negative charge has a spherically symmetric charge distribution. O The negative charge has an asymmetric charge distribution. O The positive charge has an asymmetric charge distribution.arrow_forwardFigure (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 distancer from the common axis. The vertical axis scale is set by E, -4.5 x 10° N/C. What is the linear charge density of the shell? Number E r(cm) (A) Units 13.8arrow_forward
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