7. Coaxial cylinders of radius a and b are at potentials Pa and фь. Find the...
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...
A variable capacitor consists of two thin coaxial metal cylinders of radii a and b, with (b - a) << a, free to move with respect to each other in the axial direction. The length of the cylinders is L, and the potential difference between the two cylinders is V. Initially, the inner cylinder (radius = a) is completely enclosed by the outer cylinder (radius = b). Using energy methods, find the magnitude and direction of the force on the...
The figure to the right shows a cylindrical capacitor with inner radius b and outer radius a. Between the cylinders (shaded region) is a dielectric of constant k. If the inner cylinder contains charge +Q and out charge -Q determine an expression for: The electric field in the region between the cylinders. The potential difference between in the region between the cylinders. The capacitance of the capacitor. The energy density of the capacitor
Problem (3) A long solid metal conducting cylinder of radius cylinder of greater radius b. The inner +2C/m, and there is an equal negative linear ch The region between the two cylinders is filled w constant ing cylinder of radius a is coaxial with a long hollow metal conducting ner cylinder of radius a carries a linear positive charge density qual negative linear charge density on the outer cylinder of radius b. ve cylinders is filled with an insulating material...
The figure at the right is two coaxial metal cylinders L(m) long with radii a(m) and b(m), with a < b. The space between the cylinders is filled with air (k = 1.000). (Here a, b << L). Using the four steps that were demonstrated in class, determine the capacitance. Complete the steps below. Assume a charge Q on the metal plates of the capacitor. Determine an expression for the electric field E(a < r < b): Determine an expression...
icient of frictio e angle Last name only The two infinite circular coaxial cylinders in the diagram are thin sheils The inner cylinder has radius a and carries a surface charge density of C/m2, ơ 0. The outer cylinder, of radius b, carries a surface charge density of - C/m2, 2. prevail Elsewhere vacuum conditions (a) Using Gauss' Law 8dA Q/) ind the electrical feld 2 as a function ófthe distance r from the common centerxofitheątwo how s the law,...
Problem 3: An infinitely long coaxial cable with inner radius a and outer radius b has the intervening space with one region as free space and the other two with relative permittivities and E as shown in figure. Find the capacitance per unit length.
Ans. 6. A cylindrical capacitor is made from (a) Two hollow cylinders (b) Two co-axial cylinders (c) Two hollow, co-axial cylinders (d) Two rigid, co-axial cylinders Ans 7. A 0.50-pF capacitor is connected to a 200-V battery. Find the charge on the capacitor. a. 1.2×10-12c b, 1.0×10-C c. 0.040 C d. 0.020 C Ans: 8, A parallel-plate capacitor has a capacitance of 10 μ F. what potential difference across the plates is required to store 5.0x 10- C on this...
Consider a Coaxial cable. The center conductor has radius a and its axis coincides with the z axis( region 1, with permeability u1). The outer conductor has inner radius b, outer radius c (where c>b) and its axis also coincide with the z axis( region 3, with permeability u3). The space between the two conductors has permeability u2 (region 2). the center conductor is carrying a DC current . Find the magnetic flux density in all region. Also plot B...
Problem 2: Consider a coaxial cable with an inner conductor radius of a and outer conductor radius of b. The region between the conductors is filled with a linear dielectric material that has a relative permittivity er (recall, ε = Er €0). A voltage V is applied to a length h of the cable, resulting in a free-charge of qf residing on the inner conductor and -9f residing on the outer conductor. Part a Determine the D, E, and P...