Homework Answers
Ans) I) The correct Image charge distribution for the given problem is the last one that is part C
II) The option A is not correct because the image charges -Q behind the vertical and horizontal planes have not any image charge.
The option B is not correct because the charge Q has not any image charge behind the vertical and horizontal plane.
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Q 7. (5 pts) Consider two semi-infinite grounded conducting planes (one is in the x-z plane...
Problem 2 - Point charge and plane (20 pts) A point charge q (q>0) is located...
Problem 2 - Point charge and plane (20 pts) A point charge q (q>0) is located a distance d above an infinite conducting plane lying in the x-y plane. The plane is connected to the ground (Fig.1), so that the electric potential V at any point on the plane satisfies V=0. Calculating the electric potential generated by the point charge-grounded plane combination at any point P is more complicated than it looks because the conducting plane pulls some electric charge...
We observe two point charges in the yz-plane: one of them has charge 2q and is located in (x,y,z)-(0,0,a) and the other...
We observe two point charges in the yz-plane: one of them has charge 2q and is located in (x,y,z)-(0,0,a) and the other has a charge of -3q and is located in (x,y,z)-(0,b,a) a) Calculate the dipole moment p, and p, for the two charges around (0,0,0), and sketch for a-2, b-3, c -1, the vector for the total dipole moment p for the configuration In addition to the two point charges, we now have an infinite grounded conductor placed in...
5. Let Q be the solid bounded by the plane 1: x + y + z 1 and the coordinate planes. If the densi...
Please show all steps! Thank you.
5. Let Q be the solid bounded by the plane 1: x + y + z 1 and the coordinate planes. If the density at each point P(x, y, z) in Q is given by: 8 (x, y, z) 2(z +1) kg find the total mass of Q m3'
5. Let Q be the solid bounded by the plane 1: x + y + z 1 and the coordinate planes. If the density at...
7. An infinite conducting plane exists at 2 = 0. At a height of 1 m...
7. An infinite conducting plane exists at 2 = 0. At a height of 1 m above the plane is a 2 m line of charge with uniform charge density pl. The line is parallel to the r axis and centered about the z axis (i.e., its endpoints run from (-1,0.1) to (1,0,1)). Provide the expression that can be used to obtain the voltage V(x, y, z) in the space above the plane. You can leave your answer in the...
Assume that two infinite charged sheets are present in the xy planes: one at z =...
Assume that two infinite charged sheets are present in the xy planes: one at z = +1 with charge density +sigma, and another at z = −1 with charge density –sigma. Find: (a) Electric field when sigma = 2 nC/m2 at A = a x + 2 a y + 0.5 a z (b) Assuming one places a positive test charge at A, what path will it follow afterwards, and why? Assume that the test charge can pass through all...
4) (30 pts) E-Fields in Matter: An infinite sheet of material (in the x-y plane) with...
4) (30 pts) E-Fields in Matter: An infinite sheet of material (in the x-y plane) with an applied charge distribution as a function of z- location. The volumetric distribution is: p = az- you must first determine if this charge is free or bound and then solve. Infinite in the x-y plane, center of plane is located at z=0 Assume V=0 at the points defined as #zo Material 1: Xe1, E1, Xmulli z= th — Material 2: Xe2, E2, X...
Consider two infinite parallel thin sheets o charge, one in the x 0 plane and the...
Consider two infinite parallel thin sheets o charge, one in the x 0 plane and the other in the pane The potential is zero at teon in. (a Find the electric potential everywhere in space i the planes have equal positive charge densities to. Use any variable or symbol stated above along with the following as necessary: (b) Find the electric potential everywhere in space if the sheet in thex-0 plane has a charge density to and the sheet in...
Example 5 reads: We consider an infinite slab of a conducting material with magnetic susceptibility xM carring a certain current distribution. The slab is parallel to the xy plane, between z--a andz-...
Example 5 reads: We consider an infinite slab of a conducting material with magnetic susceptibility xM carring a certain current distribution. The slab is parallel to the xy plane, between z--a andz-a. It carries a free volume current density J, (z) -(Joz/a)i which is plotted in Fig 9.12. Above the xy plane the current is out of the page, below it is into the page, and the integrated current density is 0. Outside the slab is vacuum. What are H,...
Hi, I need help solving number 13. Please show all the steps, thank you. :) Consider the solid Q bounded by z-2-y2;z-tx at each point Р (x, y, z) is given by mass of Q [15 pts] 9. x-4. The density Z/...
Hi, I need help solving number 13. Please show all the steps,
thank you. :)
Consider the solid Q bounded by z-2-y2;z-tx at each point Р (x, y, z) is given by mass of Q [15 pts] 9. x-4. The density Z/m 3 . Find the center of (x, y, z) [15 pts] 10. Evaluate the following integral: ee' dy dzdx [15 pts] 11. Use spherical coordinates to find the mass m of a solid Q that lies between the...
Consider an electric dipole oriented in the -x direction, p=-qoi, and located at the point (0,...
Consider an electric dipole oriented in the -x direction, p=-qoi, and located at the point (0, 0, zo). A grounded conducting slab occupies the region everywhere below the x-y plane. a. What is the boundary condition at the surface of the conductor that must be satisfied? b. Describe the image charge(s) you would introduce in order to find the electric field in the region above the conductor. Now, using the method of images and assuming a point-like electric dipole, determine...
Problem 2 - Point charge and plane (20 pts) A point charge q (q>0) is located a distance d above an infinite conducting plane lying in the x-y plane. The plane is connected to the ground (Fig.1), so that the electric potential V at any point on the plane satisfies V=0. Calculating the electric potential generated by the point charge-grounded plane combination at any point P is more complicated than it looks because the conducting plane pulls some electric charge...
We observe two point charges in the yz-plane: one of them has charge 2q and is located in (x,y,z)-(0,0,a) and the other has a charge of -3q and is located in (x,y,z)-(0,b,a) a) Calculate the dipole moment p, and p, for the two charges around (0,0,0), and sketch for a-2, b-3, c -1, the vector for the total dipole moment p for the configuration In addition to the two point charges, we now have an infinite grounded conductor placed in...
Please show all steps! Thank you.
5. Let Q be the solid bounded by the plane 1: x + y + z 1 and the coordinate planes. If the density at each point P(x, y, z) in Q is given by: 8 (x, y, z) 2(z +1) kg find the total mass of Q m3'
5. Let Q be the solid bounded by the plane 1: x + y + z 1 and the coordinate planes. If the density at...
7. An infinite conducting plane exists at 2 = 0. At a height of 1 m above the plane is a 2 m line of charge with uniform charge density pl. The line is parallel to the r axis and centered about the z axis (i.e., its endpoints run from (-1,0.1) to (1,0,1)). Provide the expression that can be used to obtain the voltage V(x, y, z) in the space above the plane. You can leave your answer in the...
4) (30 pts) E-Fields in Matter: An infinite sheet of material (in the x-y plane) with an applied charge distribution as a function of z- location. The volumetric distribution is: p = az- you must first determine if this charge is free or bound and then solve. Infinite in the x-y plane, center of plane is located at z=0 Assume V=0 at the points defined as #zo Material 1: Xe1, E1, Xmulli z= th — Material 2: Xe2, E2, X...
Consider two infinite parallel thin sheets o charge, one in the x 0 plane and the other in the pane The potential is zero at teon in. (a Find the electric potential everywhere in space i the planes have equal positive charge densities to. Use any variable or symbol stated above along with the following as necessary: (b) Find the electric potential everywhere in space if the sheet in thex-0 plane has a charge density to and the sheet in...
Example 5 reads: We consider an infinite slab of a conducting material with magnetic susceptibility xM carring a certain current distribution. The slab is parallel to the xy plane, between z--a andz-a. It carries a free volume current density J, (z) -(Joz/a)i which is plotted in Fig 9.12. Above the xy plane the current is out of the page, below it is into the page, and the integrated current density is 0. Outside the slab is vacuum. What are H,...
Hi, I need help solving number 13. Please show all the steps,
thank you. :)
Consider the solid Q bounded by z-2-y2;z-tx at each point Р (x, y, z) is given by mass of Q [15 pts] 9. x-4. The density Z/m 3 . Find the center of (x, y, z) [15 pts] 10. Evaluate the following integral: ee' dy dzdx [15 pts] 11. Use spherical coordinates to find the mass m of a solid Q that lies between the...
Consider an electric dipole oriented in the -x direction, p=-qoi, and located at the point (0, 0, zo). A grounded conducting slab occupies the region everywhere below the x-y plane. a. What is the boundary condition at the surface of the conductor that must be satisfied? b. Describe the image charge(s) you would introduce in order to find the electric field in the region above the conductor. Now, using the method of images and assuming a point-like electric dipole, determine...
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