How big is a million dollars? At the time this text was written, the price of gold was about $1400 per ounce, while that of silver was about $20 an ounce. The “ounce” in this case is the troy ounce , which is equal to 31.1035 g. (The more familiar avoirdupois ounce is equal to 28.35 g.) The density of gold is 19.3 g/cm 3 and that of silver is 10.5 g/cm 3 . (a) If you found a spherical gold nugget worth $1 million, what would be its diameter ? (b) How much would a silver nugget of that size be worth?
How big is a million dollars? At the time this text was written, the price of gold was about $1400 per ounce, while that of silver was about $20 an ounce. The “ounce” in this case is the troy ounce , which is equal to 31.1035 g. (The more familiar avoirdupois ounce is equal to 28.35 g.) The density of gold is 19.3 g/cm 3 and that of silver is 10.5 g/cm 3 . (a) If you found a spherical gold nugget worth $1 million, what would be its diameter ? (b) How much would a silver nugget of that size be worth?
How big is a million dollars? At the time this text was written, the price of gold was about $1400 per ounce, while that of silver was about $20 an ounce. The “ounce” in this case is the troy ounce, which is equal to 31.1035 g. (The more familiar avoirdupois ounce is equal to 28.35 g.) The density of gold is 19.3 g/cm3 and that of silver is 10.5 g/cm3. (a) If you found a spherical gold nugget worth $1 million, what would be its diameter? (b) How much would a silver nugget of that size be worth?
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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