Figure 25.54 shows a ray of light passing from one medium into a second and then a third. Show that θ 3 is the same as it would be if the second medium were not present (provided total internal reflection does not occur). Figure 25.54 A ray of light passes from one medium to a third by traveling through a second. The final direction is the same as if the second medium were not present, but the ray is displaced by △ x (Shawn exaggerated).
Figure 25.54 shows a ray of light passing from one medium into a second and then a third. Show that θ 3 is the same as it would be if the second medium were not present (provided total internal reflection does not occur). Figure 25.54 A ray of light passes from one medium to a third by traveling through a second. The final direction is the same as if the second medium were not present, but the ray is displaced by △ x (Shawn exaggerated).
Figure 25.54 shows a ray of light passing from one medium into a second and then a third. Show that θ3 is the same as it would be if the second medium were not present (provided total internal reflection does not occur).
Figure 25.54 A ray of light passes from one medium to a third by traveling through a second. The final direction is the same as if the second medium were not present, but the ray is displaced by
△
x
(Shawn exaggerated).
A spider begins to spin a web by first hanging from a ceiling by his fine, silk fiber. He has a mass of 0.025 kg and a charge of 3.5 μC. A second spider with a charge of 4.2 μC rests in her own web exactly 2.1 m vertically below the first
spider.
(a) What is the magnitude of the electric field due to the charge on the second spider at the position of the first spider?
8.57e3
N/C
(b) What is the tension in the silk fiber above the first spider?
0.275
How does the electric field relate to the force? How do you calculate the net force? N
Plastic beads can often carry a small charge and therefore can generate electric fields. Three beads are oriented such that 92 is between 91
system of all three beads is zero.
E field lines
91
92
93
X
What charge does each bead carry?
91 =
92
=
?2.9
0
μC
×
What is the net charge of the system? What charges have to be equal? μC
93
2.9
με
and 93. The sum of the charge on 91 and 92 is 91 +92
= -2.9 μC, and the net charge of the
An electron has an initial speed of 5.26 x 100 m/s in a uniform 5.73 x 105 N/C strength electric field. The field accelerates the electron in the direction opposite to its initial velocity.
(a) What is the direction of the electric field?
opposite direction to the electron's initial velocity
same direction as the electron's initial velocity
not enough information to decide
×
What is the direction of the force on the electron? How does it compare to the direction of the electric field, considering the sign of the electron's charge?
(b) How far does the electron travel before coming to rest?
0.0781
×
What kinematic equation is relevant here? How do you calculate the force due to the electric field? m
(c) How long does it take the electron to come to rest?
5.27e8
What is the final velocity of the electron? s
(d) What is the electron's speed when it returns to its starting point?
5.26e6
m/s
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