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 is Ex(P), the x-component of the electric field at point P, located a distance d = 7.5 cm from the origin along the x-axis as shown?
N/C
2)
What is V(c) – V(a), the potential difference between the the two cylindrical shells?
V
3)
What is C, the capacitance of a one meter length of this system of conductors?
μF/m
4)
The magnitudes of the charge densities on the inner and outer shells are now changed (keeping λinner = -λouter) so that the resulting potential difference doubles (Vca,new = 2Vca,initial). How does Cnew, the capacitance of a one meter length of the system of conductors when the charge density is changed, compare to C, the initial capacitance of a one meter length of the system of conductors?
Cnew < C
Cnew = C
Cnew > C
5)
What is λouter,new ?
μC/m
An infinitely long solid conducting cylindrical shell of radius a = 3.8 cm and negligible thickness...
Concentric Cylindrical Conducting Shells 1 An infiinitely long solid conducting cylindrical shell of radius a = 4.8 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 ?inner = -0.35 ?C/m. Concentric with the shell is another cylindrical conducting shell of inner radius b = 17.1 cm, and outer radius c = 21.1 cm. This conducting shell has a linear charge density ? outer = 0.35?C/m....
An infiinitely long solid conducting cylindrical shell of radius a = 4.8 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 = -0.51 μC/m. Concentric with the shell is another cylindrical conducting shell of inner radius b = 15 cm, and outer radius c = 17 cm. This conducting shell has a linear charge density λ outer = 0.51μC/m. 1.What is Ex(P), the x-component...
An infiinitely long solid conducting cylindrical shell of radius a 2.1 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 λmer 0.34 HC/m. Concentric with the shell is another cylindrical conducting shell of inner radius b 13.6 cm, and outer radius c-15.6 cm. This conducting shell has a linear charge density outer -0.34uC/m. What is E,(P), the x-component of the electric field at point...
Chapter 23, Problem 028 GO A charge of uniform linear density 3.00 nC/m is distributed along a long, thin, nonconducting rod. The rod is coaxial with a long conducting cylindrical shell (inner radius = 6.00 cm, outer radius = 10.8 cm). The net charge on the shell is zero. (a) What is the magnitude of the electric field at distance r = 16.8 cm from the axis of the shell? What is the surface charge density on the (b) inner and...
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...
A capacitor is composed of two cylindrical conducting shells. The inner shell has a radius A, is centered inside the outer shell and has a positive surface charge density +3s. The outer shell has radius B = 3A and negative surface charge density -s. Assume the length of the conductors is ?infinitely? long compared to the radius B so that you can ignore all edge effects. Let r be the vector pointing from the center of the capacitor to any...
A cylindrical capacitor consists of a solid inner conducting core with radius 0.280 cm, surrounded by an outer hollow conducting tube. The two conductors are separated by air, and the length of the cylinder is 12.0 cm. The capacitance is 39.0 pF. A) Calculate the outer radius of the hollow tube. for this i got r=0.332 cm B) When the capacitor is charged to 120 V, what is the charge per unit length \lambda on the capacitor? \lambda= _______C/m
A conducting spherical shell of inner radius a= 50.0 cm and outer radius b= 60.0 cm has a net charge Q1= -7.00 μC. A second larger conducting shell of inner radius c= 70.0 cm and outer radius d= 80.0 cm has a net charge of Q2= +3.00 μC, and it is concentric with the first shell as shown in the figure to the left. What is the magnitude and direction of the electric field as a function of distance from...
A cylindrical capacitor consists of a solid inner conducting core with radius 0.200 cm, surrounded by an outer hollow conducting tube. The two conductors are separated by air, and the length of the cylinder is 11.5 cm. The capacitance is 37.5 pF. Part A Calculate the outer radius of the hollow tube. Express your answer in centimeters. VO AED ? r = 0.5 cm Submit Previous Answers Request Answer X Incorrect; Try Again; 3 attempts remaining Part B When the...
A cylindrical capacitor consists of a solid inner conducting core with radius 0.280 cm, surrounded by an outer hollow conducting tube. The two conductors are separated by air, and the length of the cylinder is 13.5 cm. The capacitance is 39.0 pF. Part ACalculate the outer radius of the hollow tube. Part BWhen the capacitor is charged to 130 V, what is the charge per unit length lambda on the capacitor?