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Use vectors to draw the electric field around each of the following and give the equation...
An infinitely long solid cylindrical insulator of radius 20.0 cm has a non-uniform volume charge density...
An infinitely long solid cylindrical insulator of radius 20.0 cm has a non-uniform volume charge density of ρ-Ars where ρ is in C/m when r is in meters. Calculate the magnitude of the electric field at a distance of 10.00 cm from the axis of the cylinder.
An infinitely long solid insulating cylinder of radius a = 5.5 cm is positioned with its...
An infinitely long solid insulating cylinder of radius a = 5.5 cm is positioned with its symmetry axis along the z-axis as shown. The cylinder is uniformly charged with a charge density rho = 25 mu C/m^3. Concentric with the cylinder is a cylindrical conducting shell of inner radius b = 14.4 cm, and outer radius c = 17.4 cm. The conducting shell has a linear charge density lambda = -0.42 mu C/m. 1) What is E_y(R), the y-component of...
2) In figure, a top view of a solid conducting cylinder with radius a - 1 em, whose center is at ...
2) In figure, a top view of a solid conducting cylinder with radius a - 1 em, whose center is at the origin of the coordinate system and +z axis is towards out of page. It is concentric with a hollow cylindrical conductor of inner radius b 3 cm and outer radius c 5 cm. Both cylinders have L-5 m lengths which can be assumed to be infinitely long since L > c. The solid cylinder has total net charge...
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...
Question 1 (compulsory): The following set of charges is given in free space Charge σ,--40 nC/m Number and type of charge #1 , charged spherical shell of radius Ri-10 cm carrying uniform surface char...
Question 1 (compulsory): The following set of charges is given in free space Charge σ,--40 nC/m Number and type of charge #1 , charged spherical shell of radius Ri-10 cm carrying uniform surface charge density σ #2, charged spherical shell of radius R2-5 cm carrying uniform surface charge density Ơ Location (0, 0, 0) m (position of the centre of the sphere) (0, 0, 0) m (position of the centre of the sphere σ,-160 nC/m2 The positions of the spheres'...
A charge is glued on the cylindrical surface of a long circular cylinder of radius R....
A charge
is glued on the cylindrical surface of a long circular cylinder of
radius R. The cylinder is made of a linear dielectric material of
dielectric constant
.
Find the electric field inside the cylinder and show that this
field is uniform.
If a small metal sphere of radius a (a<< R) gets into the
center of the cylinder, find the total dipole moment of the setup
by all charges: free charge, bound charge, and induced charge,
given the...
Gauss Law Consider an infinitely long conductive cylindrical shell whose thickness can be neglected, basically a...
Gauss Law Consider an infinitely long conductive cylindrical shell whose thickness can be neglected, basically a very long metal tube. The shell has a radius R and positive uniform charge distribution. Calculate the electric field inside and outside the cylinder. Now consider another cylindrical shell with radius R 'where R> R, basically another metal tube larger than in the previous exercise. The metal tube of radius R is placed within the other larger tube of radius R 'in a concentric...
Problem A.1 - Calculate electric flux f5) The electric field due to an infinite line of...
Problem A.1 - Calculate electric flux f5) The electric field due to an infinite line of charge is perpendicular to the line and has magnitude E . Consider an imaginary cylinder with radius e-25 cm and length L = 40 cm that has an infinite line of positive charge running along its axis. The charge per unit length is 3 HC/m. Do not use Gauss's Law, but actually calculate the flux! a) What is the electric flux through the cylinder...
The electric field must be zero inside a conductor in electrostatic equilibrium, but not inside an...
The electric field must be zero inside a conductor in electrostatic equilibrium, but not inside an insulator. It turns out that we can still apply Gauss's law to a Gaussian surface that is entirely within an insulator by replacing the right-hand side of Gauss's law, Qin/ε0, with Qin/ε, where ε is the permittivity of the material. (Technically, ε0 is called the vacuum permittivity.) Suppose that a 75 nC point charge is surrounded by a thin, 32-cm-diameter spherical rubber shell and...
An infinitely long solid cylindrical insulator of radius 20.0 cm has a non-uniform volume charge density of ρ-Ars where ρ is in C/m when r is in meters. Calculate the magnitude of the electric field at a distance of 10.00 cm from the axis of the cylinder.
An infinitely long solid insulating cylinder of radius a = 5.5 cm is positioned with its symmetry axis along the z-axis as shown. The cylinder is uniformly charged with a charge density rho = 25 mu C/m^3. Concentric with the cylinder is a cylindrical conducting shell of inner radius b = 14.4 cm, and outer radius c = 17.4 cm. The conducting shell has a linear charge density lambda = -0.42 mu C/m. 1) What is E_y(R), the y-component of...
2) In figure, a top view of a solid conducting cylinder with radius a - 1 em, whose center is at the origin of the coordinate system and +z axis is towards out of page. It is concentric with a hollow cylindrical conductor of inner radius b 3 cm and outer radius c 5 cm. Both cylinders have L-5 m lengths which can be assumed to be infinitely long since L > c. The solid cylinder has total net charge...
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...
Question 1 (compulsory): The following set of charges is given in free space Charge σ,--40 nC/m Number and type of charge #1 , charged spherical shell of radius Ri-10 cm carrying uniform surface charge density σ #2, charged spherical shell of radius R2-5 cm carrying uniform surface charge density Ơ Location (0, 0, 0) m (position of the centre of the sphere) (0, 0, 0) m (position of the centre of the sphere σ,-160 nC/m2 The positions of the spheres'...
A charge
is glued on the cylindrical surface of a long circular cylinder of
radius R. The cylinder is made of a linear dielectric material of
dielectric constant
.
Find the electric field inside the cylinder and show that this
field is uniform.
If a small metal sphere of radius a (a<< R) gets into the
center of the cylinder, find the total dipole moment of the setup
by all charges: free charge, bound charge, and induced charge,
given the...
Problem A.1 - Calculate electric flux f5) The electric field due to an infinite line of charge is perpendicular to the line and has magnitude E . Consider an imaginary cylinder with radius e-25 cm and length L = 40 cm that has an infinite line of positive charge running along its axis. The charge per unit length is 3 HC/m. Do not use Gauss's Law, but actually calculate the flux! a) What is the electric flux through the cylinder...
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