(III) The dipole moment, considered as a vector, points from the negative to the positive charge. The water molecule, Fig. 23–32, has a dipole moment p → which can be considered as the vector sum of the two dipole moments p → 1 and p → 2 as shown. The distance between each H and the O is about 0.96 × 10 −10 m; the lines joining the center of the O atom with each H atom make an angle or 104° as shown, and the net dipole moment has been measured to be p = 6.1 × 10 −30 C · m. ( a ) Determine the effective charge q on each H atom. ( b ) Determine the electric potential, far from the molecule, due to each dipole, p → 1 and p → 2 , and show that V = 1 4 π ϵ 0 p cos θ r 2 where p is the magnitude or the net dipole moment, p → = p → 1 + p → 2 , and V is the total potential due to both p → 1 and p → 2 . Take V = 0 at r = ∞. FIGURE 23–32 Problem 46.
(III) The dipole moment, considered as a vector, points from the negative to the positive charge. The water molecule, Fig. 23–32, has a dipole moment p → which can be considered as the vector sum of the two dipole moments p → 1 and p → 2 as shown. The distance between each H and the O is about 0.96 × 10 −10 m; the lines joining the center of the O atom with each H atom make an angle or 104° as shown, and the net dipole moment has been measured to be p = 6.1 × 10 −30 C · m. ( a ) Determine the effective charge q on each H atom. ( b ) Determine the electric potential, far from the molecule, due to each dipole, p → 1 and p → 2 , and show that V = 1 4 π ϵ 0 p cos θ r 2 where p is the magnitude or the net dipole moment, p → = p → 1 + p → 2 , and V is the total potential due to both p → 1 and p → 2 . Take V = 0 at r = ∞. FIGURE 23–32 Problem 46.
(III) The dipole moment, considered as a vector, points from the negative to the positive charge. The water molecule, Fig. 23–32, has a dipole moment
p
→
which can be considered as the vector sum of the two dipole moments
p
→
1
and
p
→
2
as shown. The distance between each H and the O is about 0.96 × 10−10 m; the lines joining the center of the O atom with each H atom make an angle or 104° as shown, and the net dipole moment has been measured to be p = 6.1 × 10−30C · m. (a) Determine the effective charge q on each H atom. (b) Determine the electric potential, far from the molecule, due to each dipole,
p
→
1
and
p
→
2
, and show that
V
=
1
4
π
ϵ
0
p
cos
θ
r
2
where p is the magnitude or the net dipole moment,
p
→
=
p
→
1
+
p
→
2
, and V is the total potential due to both
p
→
1
and
p
→
2
. Take V = 0 at r = ∞.
What is the force on a dipole of dipole
moment p placed as shown in the Fig.
+9
Ka
P
++
Fig.
--
+9
(III) The dipole moment, considered as a vector, points from
the negative to the positive charge. The water molecule,
Fig. 17-42, has a dipole moment p which can be considered
as the vector sum of the two dipole moments, P¡ and pP2, as
shown. The distance between each H and the O is about
0.96 x 10-10 m. The lines joining the center of the O atom
with each H atom make an angle of 104°, as shown, and the
net dipole moment has been mea-
sured to be p = 6.1 × 10-30 C · m.
Determine the charge q on each
H atom.
104°
H+
FIGURE 17-42 Problem 34.
P2
A water molecule, H2O.
a molecules of oxygen passess a charges of -2C and 2C separated from a distance of 0.2m. Calculate the dipole moment in this condition
Chapter 23 Solutions
Physics for Scientists and Engineers with Modern Physics
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.