The displacement vectors A → and B → shown in Figure P3.9 both have magnitudes of 3.00 m. The direction of vector A → is θ = 30.0°. Find graphically (a) A → + B → , (b) A → − B → , (c) B → − A → , and (d) A → − 2 B → . (Report all angles counterclockwise from the positive x axis.)
The displacement vectors A → and B → shown in Figure P3.9 both have magnitudes of 3.00 m. The direction of vector A → is θ = 30.0°. Find graphically (a) A → + B → , (b) A → − B → , (c) B → − A → , and (d) A → − 2 B → . (Report all angles counterclockwise from the positive x axis.)
Solution Summary: The author illustrates the magnitude of the vector stackreltoA& and its angle with the x axis.
The displacement vectors
A
→
and
B
→
shown in Figure P3.9 both have magnitudes of 3.00 m. The direction of vector
A
→
is θ = 30.0°. Find graphically (a)
A
→
+
B
→
, (b)
A
→
−
B
→
, (c)
B
→
−
A
→
, and (d)
A
→
−
2
B
→
. (Report all angles counterclockwise from the positive x axis.)
1. A charge of -25 μC is distributed uniformly throughout a spherical volume of radius 11.5 cm.
Determine the electric field due to this charge at a distance of (a) 2 cm, (b) 4.6 cm, and (c) 25 cm from
the center of the sphere.
(a) =
=
(b) E =
(c)Ẻ =
=
NC NC NC
1.
A long silver rod of radius 3.5 cm has a charge of -3.9
ис
on its surface. Here ŕ is a unit vector
ст
directed perpendicularly away from the axis of the rod as shown in the figure.
(a) Find the electric field at a point 5 cm from the center of the rod (an outside point).
E =
N
C
(b) Find the electric field at a point 1.8 cm from the center of the rod (an inside point)
E=0
Think & Prepare
N
C
1. Is there a symmetry in the charge distribution? What kind of symmetry?
2. The problem gives the charge per unit length 1. How do you figure out the surface charge density σ
from a?
1. Determine the electric flux through each surface whose cross-section is shown below.
55
S₂
-29
S5
SA
S3
+ 9
Enter your answer in terms of q and ε
Φ
(a) s₁
(b) s₂
=
-29
(C) Φ
զ
Ερ
(d) SA
=
(e) $5
(f) Sa
$6
=
II
✓
-29
S6
+39
Chapter 3 Solutions
Physics For Scientists And Engineers With Modern Physics, 9th Edition, The Ohio State University
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