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
1. Find the E field in the regions r < A , A < r < B
and r > B (20 pts)
2. Find the potential difference DVAB between r = A and r = B. (10
pts)
3. Find the capacitance per unit length of the configuration. (10
pts)
4. Find the energy per unit length stored in the capacitor. (5
pts)
point in space.
A capacitor is composed of two cylindrical conducting shells. The inner shell has a radius A,...
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....
Two very long concentric conducting cylindrical shells are arranged as seen below. The inner shell has a radius a, and the outer shell a radius b. Each shell has a length L. A charge of -Q is spread over the inner shell and a charge of +Q resides on the outer shell. Ignore fringe fields (e.g. assume each cylinder is very long). Find the electric field everywhere in space. Find the potential difference between the two shells. Which one is...
A capacitor is constructed of two concentric conducting cylindrical shells. The radius of the inner cylindrical shell is 2.37 x10-3 m, and that of the outer shell is 2.47 x 10-3 m. When the cylinders carry equal and opposite charges of magnitude 2.0 x 10-10 C, the electric field between the plates has an average magnitude of 3.8 x 104 V/m and is directed radially outward from the inner shell to the outer shell. Determine (a) the magnitude of the...
line charge 4. A cylindrical shell has inner radius a and outer radius b and is length L. The shell has uniform, charge density ρ. a. Find the electric field not near the ends in all 3 regions. b. (Not Required) A line of charge has total charge Q and length L and is at the middle of a cylindrical shell, along its axis. Find the electric field again in all three regions.
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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
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...
A small conducting spherical shell with inner radius a and outer radius b is concentric with a larger conducting spherical shell with inner radius c and outer radius d. The inner shell has total charge +2q, and the outer shell has charge +4q. (a) Calculate the magnitude of the electric field in terms of q and the distance r from the common center of the two shells for r < a, b < r < c, and r > d. Note...
A cylindrical capacitor consists of a solid inner conducting core with radius 0.270cm , surrounded by an outer hollow conducting tube. The two conductors are separated by air, and the length of the cylinder is 14.0cm . The capacitance is 37.5pFpart part a) Calculate the outer radius of the hollow tube. in terms of cm partb) When the capacitor is charged to 130V , what is the charge per unit length ? on the capacitor? in terms of C/m When...
A cylindrical capacitor has an inner conductor of radius 1.5 mm andan outer conductor of radius 3.4 mm.The two conductors are separated by vacuum, and the entirecapacitor is 3.0 m long. (a) What is the capacitance per unit length? F/m (b) The potential of the inner conductor is 350 mV higher than thatof the outer conductor. Find the charge (magnitude and sign) onboth conductors. inner conductor C outer conductor C