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Long Answers 13. An infinitely long wire is charged uniformly to +2.00 mC/m and then encased...
An infinitely long straight wire is uniformly charged with a positive linear charge density +?. It...
An infinitely long straight wire is uniformly charged with a
positive linear charge density +?. It is surrounded by an
insulating hollow cylinder (also infinitely long) of inner radius R
and outer radius 2R. The hollow cylinder has a uniform charge
density ?.
(a) Determine the value of ? if the electric field vanishes at
every point outside the cylinder (r > 2R).
(b) Determine the electric field in the region 0 < r <
R.
(c) Determine the electric...
4. Consider an infinitely long, thin, uniformly charged wire length. Symmetry dictates that the e...
4. Consider an infinitely long, thin, uniformly charged wire length. Symmetry dictates that the electric field in cylindrical coordinates will have only an r component (i.e. no θ or k components). Use the superposition principle to show that the electric field in cylindrical coordinates is with charge density λ per unit (4.63) 2 Hint: You will find the integral useful 2 )3/2 5. Find an expression for the voltage field around the wire in question 4.
4. Consider an infinitely...
Suppose that you have an infinitely long, uniformly charged cylindrical shell that has a charge per...
Suppose that you have an infinitely long, uniformly charged cylindrical shell that has a charge per unit length (measured along the infinite direction) of λ. Use Gauss’s law to show a. that the electric field vanishes inside the shell b. that the electric field outside the cylindrical shell is exactly the same as it is for a line of charge with the same charge per unit length.
(20 pts) A thick, infinitely long cylinder, with radius R is uniformly charged with volume charge...
(20 pts) A thick, infinitely long cylinder, with radius R is uniformly charged with volume charge density p. Using Gauss's Law, find the electric field for (a) r < R, and (b) r > R. P R
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...
6. (20 points) A coaxial cable consists of an infinitely long thin wire carrying a charge...
6. (20 points) A coaxial cable consists of an infinitely long thin wire carrying a charge density λ= +1 mcm surrounded by a hollow cylindrical conductor of radius 1 cm, carrying a charge density λ--2 mC/m. Use Gauss's Law to find the electric field at r= 0.5 cm and r= 2 cm
A charge of uniform linear density 2.40 nC/m is distributed along a long, thin, nonconducting rod....
A charge of uniform linear density 2.40 nC/m is distributed along a long, thin, nonconducting rod. The rod is coaxial with a long conducting cylindrical shell (inner radius 5.80 cm, outer radius = 9.20 cm), The net charge on the shell is zero. (a) What is the magnitude of the electric field at distance r = 15.0 cm from the axis of the shell? What is the surface charge density on the (b) inner and (c) outer surface of the...
A charge of uniform linear density 2.00 nC/m is distributed along a long, thin, nonconducting rod.
A charge of uniform linear density 2.00 nC/m is distributed along a long, thin, nonconducting rod. The rod is coaxial with a long conducting cylindrical shell (inner radius = 4.40 cm, outer radius = 10.2 cm). The net charge on the shell is zero. (a) What is the magnitude of the electric field at distance r = 14.6 cm from the axis of the shell? What is the surface charge density on the (b) inner and (c) outer surface of...
An infinitely long solid conducting cylindrical shell of radius a = 3.8 cm and negligible thickness...
An infinitely long solid conducting cylindrical shell of radius a = 3.8 cm and negligible thickness is positioned with its symmetry axis along the z-axis as shown. The shell is charged, having a linear charge density λinner = -0.55 μC/m. Concentric with the shell is another cylindrical conducting shell of inner radius b = 13.1 cm, and outer radius c = 17.1 cm. This conducting shell has a linear charge density λ outer = 0.55μC/m. (Please answer #2-5) 1) What...
Please help me with this problem. I don't understand how to set it up and how...
Please help me with this problem. I don't understand how to set
it up and how to calculate the solutions.
An infinitely long solid insulating cylinder of radius a 3.3 cm is positioned with its symmetry axis along the z-axis as shown. The cylinder is uniformly charged with a charge density ρ = 43 HC/m3. Concentric with the cylinder is a cylindrical conducting shell of inner radius b 12.6 cm, and outer radius c-15.6 cm. The conducting shell has a...
An infinitely long straight wire is uniformly charged with a
positive linear charge density +?. It is surrounded by an
insulating hollow cylinder (also infinitely long) of inner radius R
and outer radius 2R. The hollow cylinder has a uniform charge
density ?.
(a) Determine the value of ? if the electric field vanishes at
every point outside the cylinder (r > 2R).
(b) Determine the electric field in the region 0 < r <
R.
(c) Determine the electric...
4. Consider an infinitely long, thin, uniformly charged wire length. Symmetry dictates that the electric field in cylindrical coordinates will have only an r component (i.e. no θ or k components). Use the superposition principle to show that the electric field in cylindrical coordinates is with charge density λ per unit (4.63) 2 Hint: You will find the integral useful 2 )3/2 5. Find an expression for the voltage field around the wire in question 4.
4. Consider an infinitely...
(20 pts) A thick, infinitely long cylinder, with radius R is uniformly charged with volume charge density p. Using Gauss's Law, find the electric field for (a) r < R, and (b) r > R. P R
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...
6. (20 points) A coaxial cable consists of an infinitely long thin wire carrying a charge density λ= +1 mcm surrounded by a hollow cylindrical conductor of radius 1 cm, carrying a charge density λ--2 mC/m. Use Gauss's Law to find the electric field at r= 0.5 cm and r= 2 cm
A charge of uniform linear density 2.40 nC/m is distributed along a long, thin, nonconducting rod. The rod is coaxial with a long conducting cylindrical shell (inner radius 5.80 cm, outer radius = 9.20 cm), The net charge on the shell is zero. (a) What is the magnitude of the electric field at distance r = 15.0 cm from the axis of the shell? What is the surface charge density on the (b) inner and (c) outer surface of the...
Please help me with this problem. I don't understand how to set
it up and how to calculate the solutions.
An infinitely long solid insulating cylinder of radius a 3.3 cm is positioned with its symmetry axis along the z-axis as shown. The cylinder is uniformly charged with a charge density ρ = 43 HC/m3. Concentric with the cylinder is a cylindrical conducting shell of inner radius b 12.6 cm, and outer radius c-15.6 cm. The conducting shell has a...
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