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what is the electric field at the centre (r-0) of a hemisphere bounded by r-a, 0...
1. what is the electric field at the centre (r = 0) of a hemisphere bounded...
1. what is the electric field at the centre (r = 0) of a hemisphere bounded by r = a, 0 < θ < π/2 and 0 < φ < 2m, that carries a uniform volumetric charge density P3(The charges are distributed in this hemispherical 3D space. Use spherical coordinates due to the hemispherical geometry.) Consider some charges that are lined up in a straight line. This line of charge carries a uniform linear charge density. Let's make Pl =...
Help with question 2 1. what is the electric field at the centre (r = 0)...
Help with question 2
1. what is the electric field at the centre (r = 0) of a hemisphere bounded by r = a, 0 < θ < π/2 and 0 < φ < 2m, that carries a uniform volumetric charge density P3(The charges are distributed in this hemispherical 3D space. Use spherical coordinates due to the hemispherical geometry.) Consider some charges that are lined up in a straight line. This line of charge carries a uniform linear charge density....
The problem must be solved with this formula we were able to define all the values...
The problem must be solved with this formula we were able to
define all the values in this formula except the r' vector which we
are unable to get
The r=0 given in the Q
the dv'= (r^2)sin(theta) dr dtheta dphi
pv(r')= 3phi given in the question
Note that the r' vector is a vector from the origin to the
differential volume element and the r vector is from the origin to
the observation point. Some texbooks define these 2...
The magnetic field intensity in all of space is given in terms of spherical coordinates: (1...
The magnetic field intensity in all of space is given in terms
of spherical coordinates:
(1 point) The magnetic field intensity in all of space is given in terms of spherical coordinates: A/m. sin θ Use this knowledge in both parts below. (a) Find the current density (in spherical coordinates) at the point P, whose Cartesian coordinates are (z,ys) = (85,-15,-2). ANSWER: At P, J a+ ag+ ap A/m2 (b) Find the net current, I,flowing through the conical surface S...
Epsilon1=2 Epsilon0 6. In the spherical region #1 (0 r a, 0 θ π ,0 φ...
Epsilon1=2 Epsilon0
6. In the spherical region #1 (0 r a, 0 θ π ,0 φ 2π ), the electric field just below the spherical surface r-din region # i (where espe ) is given by E,,10+ 20 + ф40 . Gue On the spherical surface at r -a there exists a uniform surface charge density Pso 8 Find 52 in region #2 just above r a. Hint: Let E,EE+0E2,
A solid is bounded above by a portion of the hemisphere z= 2 – – 72...
A solid is bounded above by a portion of the hemisphere z= 2 – – 72 . And below by the cone z = 2 + y2 , with a < 0 and y < 0. Part a: Express the volume of the solid as a triple integral involving 2, y and z. Part b: Express the volume of the solid as a triple integral in cylindrical coordinates. Parte: Express the volume of the solid as a triple integral in...
D3.1. Given a 60-uC point charge located at the origin, find the total electric flux passing...
D3.1. Given a 60-uC point charge located at the origin, find the total electric flux passing through: (a) that portion of the spherer 26 cm bounded by 0 < θ <- and 0 < φ < ; (b) the closed surface defined by ρ = 26 cm and z = ±26 crn; (c) the plane: = 26 cm.
2. Spherical Dipole - The surface charge density on a sphere of radius R is constant, +0, on the entire northern hemisphere, and-oo on the entire southern hemisphere. There are no other charges prese...
2. Spherical Dipole - The surface charge density on a sphere of radius R is constant, +0, on the entire northern hemisphere, and-oo on the entire southern hemisphere. There are no other charges present inside or outside the sphere. (a) (4 pts) Compute the dipole moment of that sphere (with the +z-axis up through the pole of the positive, +Oo, hemisphere). Use the definition of a dipole moment, p-Jr, (7)dr', which in this case becomes p:-:J20(7)dA. Write your final answer...
Please show all work and steps! 6. Get the net electric field at the origin for...
Please show all work and steps!
6. Get the net electric field at the origin for a semi-circular ring of radius R centered at the origin with ends on the r-axis, for the following two linear charge densities. See figure. Here, B and D are positive constants. (Get theisr units through dimensional analysis.) Also determine the total charge in each case in terms of given quantities. ds de (a) λ(0)-B cos θ, 0 < θ < π (b) λ(θ)-D sin...
1. Find the electric field at point a for: a. A solid sphere of radius R...
1. Find the electric field at point a for: a. A solid sphere of radius R carrying a volume charge density ρ b. An infinitely long, thin wire carrying a line charge density Side Cross Section C. A plane of infinite area carrying a surface charge density ơ PoT 2. Avery long cylinder with radius a and charge density pa-is placed inside of a conducting cylindrical shell. The cylindrical shell has an inner radius of b and a thickness of...
1. what is the electric field at the centre (r = 0) of a hemisphere bounded by r = a, 0 < θ < π/2 and 0 < φ < 2m, that carries a uniform volumetric charge density P3(The charges are distributed in this hemispherical 3D space. Use spherical coordinates due to the hemispherical geometry.) Consider some charges that are lined up in a straight line. This line of charge carries a uniform linear charge density. Let's make Pl =...
Help with question 2
1. what is the electric field at the centre (r = 0) of a hemisphere bounded by r = a, 0 < θ < π/2 and 0 < φ < 2m, that carries a uniform volumetric charge density P3(The charges are distributed in this hemispherical 3D space. Use spherical coordinates due to the hemispherical geometry.) Consider some charges that are lined up in a straight line. This line of charge carries a uniform linear charge density....
The problem must be solved with this formula we were able to
define all the values in this formula except the r' vector which we
are unable to get
The r=0 given in the Q
the dv'= (r^2)sin(theta) dr dtheta dphi
pv(r')= 3phi given in the question
Note that the r' vector is a vector from the origin to the
differential volume element and the r vector is from the origin to
the observation point. Some texbooks define these 2...
The magnetic field intensity in all of space is given in terms
of spherical coordinates:
(1 point) The magnetic field intensity in all of space is given in terms of spherical coordinates: A/m. sin θ Use this knowledge in both parts below. (a) Find the current density (in spherical coordinates) at the point P, whose Cartesian coordinates are (z,ys) = (85,-15,-2). ANSWER: At P, J a+ ag+ ap A/m2 (b) Find the net current, I,flowing through the conical surface S...
Epsilon1=2 Epsilon0
6. In the spherical region #1 (0 r a, 0 θ π ,0 φ 2π ), the electric field just below the spherical surface r-din region # i (where espe ) is given by E,,10+ 20 + ф40 . Gue On the spherical surface at r -a there exists a uniform surface charge density Pso 8 Find 52 in region #2 just above r a. Hint: Let E,EE+0E2,
A solid is bounded above by a portion of the hemisphere z= 2 – – 72 . And below by the cone z = 2 + y2 , with a < 0 and y < 0. Part a: Express the volume of the solid as a triple integral involving 2, y and z. Part b: Express the volume of the solid as a triple integral in cylindrical coordinates. Parte: Express the volume of the solid as a triple integral in...
D3.1. Given a 60-uC point charge located at the origin, find the total electric flux passing through: (a) that portion of the spherer 26 cm bounded by 0 < θ <- and 0 < φ < ; (b) the closed surface defined by ρ = 26 cm and z = ±26 crn; (c) the plane: = 26 cm.
2. Spherical Dipole - The surface charge density on a sphere of radius R is constant, +0, on the entire northern hemisphere, and-oo on the entire southern hemisphere. There are no other charges present inside or outside the sphere. (a) (4 pts) Compute the dipole moment of that sphere (with the +z-axis up through the pole of the positive, +Oo, hemisphere). Use the definition of a dipole moment, p-Jr, (7)dr', which in this case becomes p:-:J20(7)dA. Write your final answer...
Please show all work and steps!
6. Get the net electric field at the origin for a semi-circular ring of radius R centered at the origin with ends on the r-axis, for the following two linear charge densities. See figure. Here, B and D are positive constants. (Get theisr units through dimensional analysis.) Also determine the total charge in each case in terms of given quantities. ds de (a) λ(0)-B cos θ, 0 < θ < π (b) λ(θ)-D sin...
1. Find the electric field at point a for: a. A solid sphere of radius R carrying a volume charge density ρ b. An infinitely long, thin wire carrying a line charge density Side Cross Section C. A plane of infinite area carrying a surface charge density ơ PoT 2. Avery long cylinder with radius a and charge density pa-is placed inside of a conducting cylindrical shell. The cylindrical shell has an inner radius of b and a thickness of...
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