1- Two hollow parallel cylinders are placed next to each other as shown in the photo...
3. Two axis aligned very long,thin shell cylinders have radii Ri and R2 with Ri 〈 R2, A unform charge per unit length of λ is placed on the inner cylinder, the outer cylinder is grounded. Find the electric field, charge, and potential everywhere. Find the capacitance between both cylinders.Find the total energy in the field between the two cylinders.
Two infinitely long conducting hollow cylinders of radius a and b (a < b) are oriented along the z-axis. 1. Compute their capacitance per unit length. 2. Consider the condition (b - a)/a << 1 and compare the capacitance per unit length with that of two infinite conducting plates. 3. Compute the self-capacitance of a conducting cylinder of radius a. The self-capacitance of an object is the capacitance when one of the surfaces is very far away from the other
Problem (1) A long solid metal conducting cylinder with radius a is coaxial with a long, hollow, metal conducting tube of greater radius b. The inner cylinder of radius a is positively charged with a positive charge per unit length of magnitude λ (C/m , and there is an equal negative charge per unit length on the outer cylinder of radius b. The region between the two cylinders is filled with an insulating material of dielectric constant K Please use...
Two axis aligned very long,thin shell cylinders have radii R1 and R2 with R1 < R2, A unform charge per unit length of λ is placed on the inner cylinder. Find the electric field, charge, and potential everywhere. Now, assume that the outer cylinder is grounded, repeat the calculation.
A capacitor is made from two hollow, coaxial, iron cylinders, one inside the other. The inner cylinder is negatively charged and the outer is positively charged; the magnitude of the charge on each is 9.6 pC. The inner cylinder has radius 0.4 mm, the outer one has radius 5 mm, and the length of each cylinder is 16 cm. What applied potential difference is necessary to produce these charges on the cylinders? (Give your answer in decimal using V as...
The diagram above shows a cross-section view of a very long straight metal cylinder of radius ri within a coaxial hollow metal cylinder of inner radius r2 and outer radius r3. The inner cylinder has a positive charge per unit length λ, whereas the outer cylinder has negative charge per unit length 2A. There are no other objects nearby. Derive from first principles an expression for the electric field magnitude in regions B and D as a function of the...
P's The diagram above shows a cross-section view of a very long straight metal cylinder of radius ri within a coaxial hollow metal cylinder of inner radius r2 and outer radius r3. The inner cylinder has a positive charge per unit length λ, whereas the outer cylinder has negative charge per unit length There are no other objects nearby Part A (a) What is the shape of the electric field in and around the cylinders? In your answer (i) explain...
A long coaxial cable is made of two concentric hollow cylinders of radii a=2.1 cm and b=8.6cm. In the inner cylinder runs a current I, and in the outer cylinder runs the same current in the other direction. What is the self induction of the cable per unit length? Give answer in units of H/m. Use パ0 Gl1 Gl1 140-4π * 10-1 H / m
Consider two long, parallel and oppositely charged wires of radius Y with their centers separated by a distance D (D>>r). The charges are uniformly distributed strictly on the surface of each wire, with a line charge density A. Using Gauss's Law, derive an expression for the total electric field in the space between the two wires. ((1) consider each wire individually and then add the individual contributions; (2): the wires'length extends to infinity, and thus the two wires can be...
Consider two concentric, infinitely long cylinders. The cylinders are oriented such that the center-line is along the z-axis, and the radii exist in the r-direction. The inner cylinder has a radius of ra and the outer cylinder has a radius rb. The inner cylinder moves in the positive z-direction with a velocity W while the outer cylinder is held stationary. The fluid contained between the cylinders is assumed to be Netwonian, incompressible, isotropic and isothermal. The flow of the fluid...