GO Two vectors a → and b → have the components, in meters, a x = 3.2, a y = 1.6, b x = 0.50, b y = 4.5. (a) Find the angle between the directions of a → and b → . There are two vectors in the xy plane that are perpendicular to a → and have a magnitude of 5.0 m. One, vector c → , has a positive x component and the other, vector d → , a negative x component. What are (b) the x component and (c) the y component of vector c → , and (d) the x component and (e) the y component of vector d → ?
GO Two vectors a → and b → have the components, in meters, a x = 3.2, a y = 1.6, b x = 0.50, b y = 4.5. (a) Find the angle between the directions of a → and b → . There are two vectors in the xy plane that are perpendicular to a → and have a magnitude of 5.0 m. One, vector c → , has a positive x component and the other, vector d → , a negative x component. What are (b) the x component and (c) the y component of vector c → , and (d) the x component and (e) the y component of vector d → ?
GO Two vectors
a
→
and
b
→
have the components, in meters, ax = 3.2, ay = 1.6, bx = 0.50, by = 4.5. (a) Find the angle between the directions of
a
→
and
b
→
. There are two vectors in the xy plane that are perpendicular to
a
→
and have a magnitude of 5.0 m. One, vector
c
→
, has a positive x component and the other, vector
d
→
, a negative x component. What are (b) the x component and (c) the y component of vector
c
→
, and (d) the x component and (e) the y component of vector
d
→
?
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
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