(III) A very large (i.e., assume infinite) flat slab of nonconducting material has thickness d and a uniform volume charge density + ρ E . ( a ) Show that a uniform electric field exists outside of this slab. Determine its magnitude E and its direction (relative to the slab’s surface). ( b ) As shown in Fig. 22–39, the slab is now aligned so that one of its surfaces lies on the line y = x . At time t = 0, a pointlike particle (mass m , charge + q ) is located at position r → = + y 0 j ^ and has velocity v → = v 0 i ^ . Show that the particle will collide with the slab if v 0 ≥ 2 q y 0 ρ E d / ∈ 0 m . Ignore gravity. FIGURE 22–39 Problem 43.
(III) A very large (i.e., assume infinite) flat slab of nonconducting material has thickness d and a uniform volume charge density + ρ E . ( a ) Show that a uniform electric field exists outside of this slab. Determine its magnitude E and its direction (relative to the slab’s surface). ( b ) As shown in Fig. 22–39, the slab is now aligned so that one of its surfaces lies on the line y = x . At time t = 0, a pointlike particle (mass m , charge + q ) is located at position r → = + y 0 j ^ and has velocity v → = v 0 i ^ . Show that the particle will collide with the slab if v 0 ≥ 2 q y 0 ρ E d / ∈ 0 m . Ignore gravity. FIGURE 22–39 Problem 43.
(III) A very large (i.e., assume infinite) flat slab of nonconducting material has thickness d and a uniform volume charge density +ρE. (a) Show that a uniform electric field exists outside of this slab. Determine its magnitude E and its direction (relative to the slab’s surface). (b) As shown in Fig. 22–39, the slab is now aligned so that one of its surfaces lies on the line y = x. At time t = 0, a pointlike particle (mass m, charge +q) is located at position
r
→
=
+
y
0
j
^
and has velocity
v
→
=
v
0
i
^
. Show that the particle will collide with the slab if
v
0
≥
2
q
y
0
ρ
E
d
/
∈
0
m
. Ignore gravity.
8) In Fig. 23-56, a nonconducting spherical shell of inner radius a= 2 cm and outer radius b= 2.4 cm has
(within its thickness) a positive uniform volume charge density p = 2.5nC/m³. In addition, a small ball
of charge q = +4.5 nC is located at that center. What are the magnitude and direction of the electric field
at radial distances (a) r = 1 cm, (b) r = 2.2 cm and (c) r = 3 cm?
|
9+
b
8) In Fig. 23-56, a nonconducting spherical shell of inner radius a= 2 cm and outer radius b= 2.4 cm has
(within its thickness) a positive uniform volume charge density p = 2.5nC/m³. In addition, a small ball
of charge q = +4.5 nC is located at that center. What are the magnitude and direction of the electric field
at radial distances (a) r = 1 cm, (b) r = 2.2 cm and (c) r = 3 cm?
6 In Fig. 22-27, two identical circu-
lar nonconducting rings are centered
on the same line with their planes
perpendicular to the line. Each ring
has charge that is uniformly distrib-
uted along its circumference. The
rings each produce electric fields at points along the line. For three
situations, the charges on rings A and B are, respectively, (1) qo and
9o, (2) -90 and -90, and (3) - and qo. Rank the situations
according to the magnitude of the net electric field at (a) point P1
midway between the rings, (b) point P, at the center of ring B, and
(c) point P3 to the right of ring B. greatest first.
P,
P3
Ring A
Ring B
Figure 22-27 Question 6.
Chapter 22 Solutions
Physics for Scientists and Engineers with Modern Physics
Essential University Physics: Volume 1 (3rd Edition)
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