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1. Gravity anomaly from a secret tunnel The gravity anomaly of an infinitely long horizontal 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...
Electrostatics problem 2. An infinitely long circular cylinder of radius a and dielectric constant E is...
Electrostatics problem
2. An infinitely long circular cylinder of radius a and dielectric constant E is placed with its axis along the z-axis and is put in an electric field which would have been uniform in the absence of the cylinder, pointing along the x-axis (see figure). Find the total electric field at all points outside and inside the cylinder. Find the bound surface charge density.
An infinitely long insulating cylinder of radius R has a volume charge density that varies with...
An infinitely long insulating cylinder of radius R has a volume charge density that varies with the radius as p po (a-where po a and b are positive constants and ris the distance from the axis of the cylinder. Use Gauss's law to determine the magnitude of the electric field at radial distances (a) r< R and (b)r>R
An infinitely long line of charge with linear charge density lambda lies along the central axis...
An infinitely long line of charge with linear charge density lambda lies along the central axis of an infinitely long hollow plastic cylinder with inner radius R _1 and outer radius R _2. The inner surface of the cylinder has a surface charge density of eta _1 and the outer surface of the cylinder has a surface charge density of eta _2. There are no other charges within the plastic material, except for those on the inner and outer surfaces....
An infinitely long cylinder with axis aloong the z-direction and radius R has a hole of...
An infinitely long cylinder with axis aloong the z-direction and
radius R has a hole of radius a bored parallel to and
centered a distance b from the cylinder axis
(a+b<R). The charge density is uniform and total
charge/length
is placed on the cylinder. Find the magnitude and direction of the
electric field in the hole.
Problem 4, 30 marks The infinitely long conducting cylinder of radius R carries the volume current...
Problem 4, 30 marks The infinitely long conducting cylinder of radius R carries the volume current density directed along its axis whose absolute value is a cubic function of the distance from the center of the cylinder r, j(r)-br3, where b is a known constant. a. Find the magnitude and direction of the magnetic field B forr>R. b. Find the magnitude and direction of the magnetic field B for r<R. c. Imagine that the conductor has magnetic permeability H (5...
mall portion of an infinitely long cylinder is shown. The radius of the cylinder is R...
mall portion of an infinitely long cylinder is shown. The radius of the cylinder is R = 4 m and the charge is uniformly distributed throughout the cylinder with a volume charge density of ρ = 0.6 nC/m^3. Gauss's law to find the magnitude of the electric field at a distance r 18 m from the center of the cylinder as shown. Your answer should be in units of N/C. Use Submit Answer Tries /2
Problem 3: An infinitely long solid cylinder of radius 2 m along the z-axis carries a...
Problem 3: An infinitely long solid cylinder of radius 2 m along the z-axis carries a volume current density of in the z-Direction. An infinitely long current filament at y 5 m in the x-z plane carried a current of A in the -z direction. Find the force per unit length on the filament.
Consider an infinitely long, hollow cylinder of radius R with a uniform surface charge density σ....
Consider an infinitely long, hollow cylinder of radius R with a uniform surface charge density σ. 1. Find the electric field at distance r from the axis, where r < R. (Use any variable or symbol stated above along with the following as necessary: ε0.) 2. What is it for r > R? E(r>R) = ? Sketch E as a function of r, with r going from 0 to 3R. Make sure to label your axes and include scales (i.e.,...
Shown in the figure below is an infinitely long solid cylinder of charge. The radius of...
Shown in the figure below is an infinitely long solid cylinder of charge. The radius of the cylinder is a and the charge density is p. There are two regions indicated in the figure and you will find the electric field in each of these two regions. Region I (ra) Region II (rca) Infinite Solid Cylinder with Charge Density Region I: (outside the cylinder, r>) . What is the formula for the USEFUL area of the Gaussion surtec? A-2RL What...
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...
Electrostatics problem
2. An infinitely long circular cylinder of radius a and dielectric constant E is placed with its axis along the z-axis and is put in an electric field which would have been uniform in the absence of the cylinder, pointing along the x-axis (see figure). Find the total electric field at all points outside and inside the cylinder. Find the bound surface charge density.
An infinitely long insulating cylinder of radius R has a volume charge density that varies with the radius as p po (a-where po a and b are positive constants and ris the distance from the axis of the cylinder. Use Gauss's law to determine the magnitude of the electric field at radial distances (a) r< R and (b)r>R
An infinitely long line of charge with linear charge density lambda lies along the central axis of an infinitely long hollow plastic cylinder with inner radius R _1 and outer radius R _2. The inner surface of the cylinder has a surface charge density of eta _1 and the outer surface of the cylinder has a surface charge density of eta _2. There are no other charges within the plastic material, except for those on the inner and outer surfaces....
An infinitely long cylinder with axis aloong the z-direction and
radius R has a hole of radius a bored parallel to and
centered a distance b from the cylinder axis
(a+b<R). The charge density is uniform and total
charge/length
is placed on the cylinder. Find the magnitude and direction of the
electric field in the hole.
Problem 4, 30 marks The infinitely long conducting cylinder of radius R carries the volume current density directed along its axis whose absolute value is a cubic function of the distance from the center of the cylinder r, j(r)-br3, where b is a known constant. a. Find the magnitude and direction of the magnetic field B forr>R. b. Find the magnitude and direction of the magnetic field B for r<R. c. Imagine that the conductor has magnetic permeability H (5...
mall portion of an infinitely long cylinder is shown. The radius of the cylinder is R = 4 m and the charge is uniformly distributed throughout the cylinder with a volume charge density of ρ = 0.6 nC/m^3. Gauss's law to find the magnitude of the electric field at a distance r 18 m from the center of the cylinder as shown. Your answer should be in units of N/C. Use Submit Answer Tries /2
Problem 3: An infinitely long solid cylinder of radius 2 m along the z-axis carries a volume current density of in the z-Direction. An infinitely long current filament at y 5 m in the x-z plane carried a current of A in the -z direction. Find the force per unit length on the filament.
Shown in the figure below is an infinitely long solid cylinder of charge. The radius of the cylinder is a and the charge density is p. There are two regions indicated in the figure and you will find the electric field in each of these two regions. Region I (ra) Region II (rca) Infinite Solid Cylinder with Charge Density Region I: (outside the cylinder, r>) . What is the formula for the USEFUL area of the Gaussion surtec? A-2RL What...
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