Physics for Scientists and Engineers
6th Edition
ISBN: 9781429281843
Author: Tipler
Publisher: MAC HIGHER
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Chapter 22, Problem 58P
(a)
To determine
The charge density on the faces of the penny.
(b)
To determine
The total charge on one of the faces of the penny.
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Charged plate
d
R
Ar
FIGURE 21
59.
According to Coulomb's Law, the attractive force between two
electric charges of magnitude q1 and q2 separated by a distancer is
kq192/r2 (k is a constant). Let F be the net force on a charged particle P
of charge Q coulombs located d centimeters above the center of a circular
disk of radius R, with a uniform charge distribution of density p coulombs
per square meter (Figure 21). By symmetry, F acts in the vertical direction.
(a) Let R be a small polar rectangle of size Ar x AÐ located at distance
r. Show that R exerts a force on P whose vertical component is
kpQd
r Δr Δθ
(r2 + d²)3/2
(b) Explain why F is equal to the following double integral, and evaluate:
c27
r dr de
F = kpQd
(r2 + d²)3/2
(a) A small polystyrene bead with a charge of -60.0 nC is at the center of an insulating glass spherical shell with an inner radius of 20.0 cm and an outer radius of 34.0 cm. The glass material of the spherical
shell is charged, with a uniform volume charge density of -1.70 µC/m3. A proton moves in a circular orbit just outside the spherical shell. What is the speed of the proton (in m/s)?
m/s
(b) What If? Suppose the spherical shell carries a positive charge density instead. What is the maximum value the charge density (in µC/m3) the spherical shell can have below which a proton can orbit the
spherical shell?
HC/m3
(a) A small Styrofoam bead with a charge of -60.0 nc is at the center of an
insulating plastic spherical shell with an inner radius of 20.0 cm and an
outer radius of 34.0 cm. The plastic material of the spherical shell is
charged, with a uniform volume charge density of -1.50 pC/m³. A proton
moves in a circular orbit just outside the spherical shell. What is the
speed of the proton (in m/s)?
m/s
(b) What If? Suppose the spherical shell carries a positive charge density
instead. What is the maximum value the charge density (in µC/m³) the
spherical shell can have below which a proton can orbit the spherical
shell?
µC/m3
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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