Consider a system of three point-like electric charges, with charges and positions , as follows: ....
Consider a system of three point-like electric charges, with
charges 
and positions 
, as follows: 
.
(a) Calculate the monopole moment of the given system of charges.
(b) Calculate the dipole moment.
Homework Answers
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Consider a system of three point-like electric charges, with
charges
and positions
, as follows:
....
Homework Problem 2.11 Consider the system of three point charges at the right. All charges are...
Homework Problem 2.11 Consider the system of three point charges at the right. All charges are positive. The center charge has charge +2Q while the other charges each have charge +Q. (a)On a separate sheet of paper, draw the field map of the system of charges at the right using 2 lines per Q. Locate the points A and B as carefully as possible on the your field map +Q +2 (b)At point A draw the electric field vector based...
Three charges are located in the space as shown in Figure 1. Find the electric potential...
Three charges are located in the space as shown in Figure 1. Find the electric potential at the point P. Find the dipole moment of this system, Find the potential at point P due to the dipole moment, Compare your answers of part (a) and (b), what is the percentage error by using the potential due to the dipole moment alone to approximate the exact solution given in part (a) ?
1) 2) 3) A system with a point charge at the origin with charge +Q is...
1)
2)
3)
A system with a point charge at the origin with charge +Q is
surrounded by a spherical dielectric shell with dielectric constant
κ= 2.0. Select the figure below that correctly represents the
electric field map for the system.
a) Figure a
b) Figure b
c) Figure c
The figure shows three particles with charges Q1 and Q2 with the electric field lines shown. What is the ratio of Q1/Q2? O 1:4 O 1:1 08:4 2:4 04:1 Given...
1) 2) 3) The figure shows three particles with charges Q1 and Q2 with the electric...
1)
2)
3)
The figure shows three particles with charges Q1 and Q2 with the electric field lines shown. What is the ratio of Q1/Q2? O 1:4 O 1:1 08:4 2:4 04:1 Given the field map to the right, the dashed box contains all the charge generating the field. Is the long range field that of a monopole or a dipole? Monopole O Dipole Both a monopole and a dipole Select the inequality for the potential at the points A,...
An electric dipole consists of charges 10mC and -10mC separated by 1.5cm. It is in an...
An electric dipole consists of charges 10mC and -10mC
separated by 1.5cm. It is in an electric field of strength
20kN/C
(10 points) An electric dipole consists of charges +10hC and 1.5cm. It is in an electric field of strength 20 10?C separated by 1.5cm -10.0uC 10.0uC (1 point) On the illustration below draw the dipole vector (direction). (1 point) Calculate the magnitude of the dipole moment. (2 points) Calculate the magnitude of the torque on the dipole when the...
Consider a system of three point charges as indicated in the figure below, where an x-axis...
Consider a system of three point charges as indicated in the
figure below, where an x-axis and y-axis are shown as reference in
the system. The coordinates of these charges are given as follows:
?1(0,0), ?2(d,0), and ?3(d,d). The charges ?1 and ?3 are positive,
whereas the charge ?2 is negative.
a) Express the resultant force ?⃗ 3 exerted on ?3, in terms of ?1,
?2, ?3, and d, in unit vector notation. Show all vectors on the
figure, and...
Three point charges are located on an x-y coordinate system as follows: q1- -1.00 μC at...
Three point charges are located on an x-y coordinate system as follows: q1- -1.00 μC at (3.5m, 0.0), q2 = +2.00 μC at (-5.00m, 0.0), and q3-一1.50 pC at (0.0,4.0) Calculate the magnitude and direction of the electric field at the origin due to these charges
4. Consider two thin charged rods of length L carrying uniformity distributed charges of +q and...
4. Consider two thin charged rods of length L carrying uniformity distributed charges of +q and -q positioned end-to-end as shown in the figure below. (a) Calculate the electric field at point P a distance x to right of where the rods meet. (b) Show that the approximate expression for the electric field at point P for x >>L looks like that of a dipole (Hint: Review Example 21.14 in your text). (o) what is the dipole moment of the...
Three point charges lie at the vertices of an equilateral triangle as shown. Charges #2 and...
Three point charges lie at the vertices of an equilateral
triangle as shown. Charges #2 and #3 make up an electric dipole.
The net electric torque that charge #1 exerts on the dipole is:
Three point charges lie at the vertices of an equilateral
triangle as shown. Charges #2 and #3 make up an electric dipole.
The net electric force that charge #1 exerts on the dipole is
in
The answer for first one is A and the second one...
Q is the monopole moment, P vector is the dipole moment, Qjk is the quadrupole moment....
Q is the monopole moment,
P vector is the dipole moment,
Qjk is the quadrupole moment.
I understand how to compute the dipole and monopole but the
quadrupole is a bit over my head. They use electric dipole
expansion
8-2 A single point charge q is located at the point (a, b, c). Find Q, p, and all components of jk tities are changed if a charge - q located at the origin is added to the system?
Homework Problem 2.11 Consider the system of three point charges at the right. All charges are positive. The center charge has charge +2Q while the other charges each have charge +Q. (a)On a separate sheet of paper, draw the field map of the system of charges at the right using 2 lines per Q. Locate the points A and B as carefully as possible on the your field map +Q +2 (b)At point A draw the electric field vector based...
Three charges are located in the space as shown in Figure 1. Find the electric potential at the point P. Find the dipole moment of this system, Find the potential at point P due to the dipole moment, Compare your answers of part (a) and (b), what is the percentage error by using the potential due to the dipole moment alone to approximate the exact solution given in part (a) ?
1)
2)
3)
A system with a point charge at the origin with charge +Q is
surrounded by a spherical dielectric shell with dielectric constant
κ= 2.0. Select the figure below that correctly represents the
electric field map for the system.
a) Figure a
b) Figure b
c) Figure c
The figure shows three particles with charges Q1 and Q2 with the electric field lines shown. What is the ratio of Q1/Q2? O 1:4 O 1:1 08:4 2:4 04:1 Given...
1)
2)
3)
The figure shows three particles with charges Q1 and Q2 with the electric field lines shown. What is the ratio of Q1/Q2? O 1:4 O 1:1 08:4 2:4 04:1 Given the field map to the right, the dashed box contains all the charge generating the field. Is the long range field that of a monopole or a dipole? Monopole O Dipole Both a monopole and a dipole Select the inequality for the potential at the points A,...
An electric dipole consists of charges 10mC and -10mC
separated by 1.5cm. It is in an electric field of strength
20kN/C
(10 points) An electric dipole consists of charges +10hC and 1.5cm. It is in an electric field of strength 20 10?C separated by 1.5cm -10.0uC 10.0uC (1 point) On the illustration below draw the dipole vector (direction). (1 point) Calculate the magnitude of the dipole moment. (2 points) Calculate the magnitude of the torque on the dipole when the...
Consider a system of three point charges as indicated in the
figure below, where an x-axis and y-axis are shown as reference in
the system. The coordinates of these charges are given as follows:
?1(0,0), ?2(d,0), and ?3(d,d). The charges ?1 and ?3 are positive,
whereas the charge ?2 is negative.
a) Express the resultant force ?⃗ 3 exerted on ?3, in terms of ?1,
?2, ?3, and d, in unit vector notation. Show all vectors on the
figure, and...
Three point charges are located on an x-y coordinate system as follows: q1- -1.00 μC at (3.5m, 0.0), q2 = +2.00 μC at (-5.00m, 0.0), and q3-一1.50 pC at (0.0,4.0) Calculate the magnitude and direction of the electric field at the origin due to these charges
4. Consider two thin charged rods of length L carrying uniformity distributed charges of +q and -q positioned end-to-end as shown in the figure below. (a) Calculate the electric field at point P a distance x to right of where the rods meet. (b) Show that the approximate expression for the electric field at point P for x >>L looks like that of a dipole (Hint: Review Example 21.14 in your text). (o) what is the dipole moment of the...
Three point charges lie at the vertices of an equilateral
triangle as shown. Charges #2 and #3 make up an electric dipole.
The net electric torque that charge #1 exerts on the dipole is:
Three point charges lie at the vertices of an equilateral
triangle as shown. Charges #2 and #3 make up an electric dipole.
The net electric force that charge #1 exerts on the dipole is
in
The answer for first one is A and the second one...
Q is the monopole moment,
P vector is the dipole moment,
Qjk is the quadrupole moment.
I understand how to compute the dipole and monopole but the
quadrupole is a bit over my head. They use electric dipole
expansion
8-2 A single point charge q is located at the point (a, b, c). Find Q, p, and all components of jk tities are changed if a charge - q located at the origin is added to the system?
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