Homework Answers
It will be zero in all cases.
At a very far distance, distance between the positive and negative charge will be negligible as compare to the distance of point from quadrupole, therefore electric field due to positive charge and will be equal but opposite in direction and they will cancel each other therefore net electric field will be zero.
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8) We can construct a quadrupole from two dipoles as shown in the picture below. What...
In class we calculated the electromagnetic 11.1. How does an electric quadrupole radiate at far field? Hint: Take two t...
In class we calculated the electromagnetic 11.1. How does an electric quadrupole radiate at far field? Hint: Take two them with a small distance to form a wave emission of an electric dipole (see chapter dipoles and displace quadrupole. The electric field and magnetic field is the simplify your result superposition of those generated by the two with Taylor expansion dipoles. At far field, you can
In class we calculated the electromagnetic 11.1. How does an electric quadrupole radiate at...
Quadrupole charge distribution. Consider the four-charge distribution in the xy- plane along the x-axis, the y-axis,...
Quadrupole charge distribution. Consider the four-charge distribution in the xy- plane along the x-axis, the y-axis, and in the x = y direction for positive charges at a (1,1), a (-1,-1) and negative charges at a (11) and a (-1,1). Take the absolute value of the charges to be the same and equal to q. a) Recall in class we found that for the dipole charge distribution there are two axes of symmetry defined to be straight lines to which...
8.4. Quadrupole focusing. A magnetic quadrupole field can be used as a focusing field for a charg...
8.4. Quadrupole focusing. A magnetic quadrupole field can be used as a focusing field for a charged particle beam. The cross section of the pole faces is shown in Fig 8.29. The pole faces are hyperbolas of the form xy-constant. There are two north poles and two south poles, marked on the figure. The dimension of the magnet per- pendicular to the cross section is . The magnetic field in the region 0 zs is B(x, y, z)-b(vi +n) in...
Two forces, F⃗1 and F⃗2, act at a point, as shown in the picture.
Two forces, F⃗1 and F⃗2, act at a point, as shown in the
picture. (Figure 1) F⃗1 has a magnitude of 8.80 N and is directed
at an angle of α = 62.0 ∘ above the negative x axis in the second
quadrant. F⃗2 has a magnitude of 7.00 N and is directed at an
angle of β = 52.3 ∘ below the negative x axis in the third
quadrant. Part A What is the x component Fx of the resultant force? Part...
8. The charge distribution of a quadrupole is as shown below. (a) Show that the potential...
8. The charge distribution of a quadrupole is as shown below. (a) Show that the potential at a point on the x-axis where 1-20 x>d is: V= ,(b) Show that when x >> d this reduces +Q +Q 2kQd to -d,0) (d,0)
Next we move the +Q and +4Q charges to be 3 times as far apart as...
Next we move the +Q and +4Q charges to be 3 times as far apart as they were: +Q 5. Now what is the magnitude of the force on the +40? (b) F/3 (a) F/9 (c) 4F/9 (d) 4F/3 (e) other 6. Which of the arrows is in the direction of the net force on charge B? -1 +1 +1 (e) none of these The picture below shows a centimeters to the left is another particle (labeled A) which has...
Two forces, F1 and F2, act at a point, as shown in the picture
Two forces, F1 and F2, act at a point, as shown in the picture. F1 has a magnitude of 9.60 N and is directed at an angle of α = 58.0° above the negative x axis in the second quadrant. F2 has a magnitude of 5.80 N and is directed at an angle of β = 52.5° below the negative x axis in the third quadrant.Part A What is the x component Fx of the resultant force? Part B What is...
13) What is the direction of the electric field in the area between the conductive cylinder...
13) What is the direction of the electric field in the area between the conductive cylinder and the shell? + O in the radial direction towards the outer shell 6)A ring with a radius a is uniformly distributed over the negative q charge in the xy-plane. In which direction is the electric field at the z = -a point on the z-axis? O negative x axis direction O negative y axis direction O positive x axis direction O it is...
Three bees are oriented as shown in the figure. B1 has +32 µC of charge, B2...
Three bees are oriented as
shown in the figure. B1 has
+32 µC
of charge, B2 has
−4 µC
of charge, and B3 has
+27 µC
of charge.
Bee number 3 is stationed at the observation location for this
problem, and we want to find the net electric field at
B3. We'll do this in a few steps.
(a) What are the x and y components of the
electric field
E1
at the observation location (Bee number 3) due to...
In class we calculated the electromagnetic 11.1. How does an electric quadrupole radiate at far field? Hint: Take two them with a small distance to form a wave emission of an electric dipole (see chapter dipoles and displace quadrupole. The electric field and magnetic field is the simplify your result superposition of those generated by the two with Taylor expansion dipoles. At far field, you can
In class we calculated the electromagnetic 11.1. How does an electric quadrupole radiate at...
Quadrupole charge distribution. Consider the four-charge distribution in the xy- plane along the x-axis, the y-axis, and in the x = y direction for positive charges at a (1,1), a (-1,-1) and negative charges at a (11) and a (-1,1). Take the absolute value of the charges to be the same and equal to q. a) Recall in class we found that for the dipole charge distribution there are two axes of symmetry defined to be straight lines to which...
8.4. Quadrupole focusing. A magnetic quadrupole field can be used as a focusing field for a charged particle beam. The cross section of the pole faces is shown in Fig 8.29. The pole faces are hyperbolas of the form xy-constant. There are two north poles and two south poles, marked on the figure. The dimension of the magnet per- pendicular to the cross section is . The magnetic field in the region 0 zs is B(x, y, z)-b(vi +n) in...
8. The charge distribution of a quadrupole is as shown below. (a) Show that the potential at a point on the x-axis where 1-20 x>d is: V= ,(b) Show that when x >> d this reduces +Q +Q 2kQd to -d,0) (d,0)
Next we move the +Q and +4Q charges to be 3 times as far apart as they were: +Q 5. Now what is the magnitude of the force on the +40? (b) F/3 (a) F/9 (c) 4F/9 (d) 4F/3 (e) other 6. Which of the arrows is in the direction of the net force on charge B? -1 +1 +1 (e) none of these The picture below shows a centimeters to the left is another particle (labeled A) which has...
13) What is the direction of the electric field in the area between the conductive cylinder and the shell? + O in the radial direction towards the outer shell 6)A ring with a radius a is uniformly distributed over the negative q charge in the xy-plane. In which direction is the electric field at the z = -a point on the z-axis? O negative x axis direction O negative y axis direction O positive x axis direction O it is...
Three bees are oriented as
shown in the figure. B1 has
+32 µC
of charge, B2 has
−4 µC
of charge, and B3 has
+27 µC
of charge.
Bee number 3 is stationed at the observation location for this
problem, and we want to find the net electric field at
B3. We'll do this in a few steps.
(a) What are the x and y components of the
electric field
E1
at the observation location (Bee number 3) due to...
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