The figure at the right is two coaxial metal cylinders L(m) long with radii a(m) and...
2) Consider a coaxial capacitor with two concentric metal cylinders of radii a and b (a < b), filled with a dielectric material whose permittivity e varies linearly from ea at r = a to Ep at r = b. a. Find the capacitance per unit length. b. Find the numerical value of the capacitance if the radii are 2 mm and 6 mm and the relative dielectric constant varies from 2.25 to 8.5, respectively.
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...
2. A coaxial capacitor has radii a = 4 cm and b = 12 cm. If the space between the plates is filled with an inhomogeneous dielectric with εr = (ρ + 2.5)/ρ, where ρ is in meters, find the capacitance per meter of the capacitor.
7.U)A cylindrical capacitor of length L consists of coaxial conducting surfaces of radii a and b (Fig. 4). The dielectric material between the surfaces has a relative permittivity s, 2+(4/r) for a <r< b. (a) Determine the capacitance of this capacitor. (b) Find the electrostatic energy stored in the dielectric region. (Neglect the fringing of the electric field at the edge.) (1490) If the constant electric field in Fig. 5 has a magnitude Eo, calculate the totala electric flux through...
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...
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
I have built a cavity resonator consisting of two concentric conducting cylinders having radii of 20 cm and 27 cm and an overall length of 36 cm. The space between the cylinders is filled with powdered titanium dioxide, with a dielectric constant of 78. In the following, you may ignore the effects that occur at the ends of the cylinders. (a) Find the capacitance of this device. Note that this requires that you find the electrostatic potential of the device,...
A capacitor is made of two very large disks of radius R carrying uniformly distributed charges Q_A = Q and Q_B = -Q. The plates are parallel and 0.1 millimeters apart. The potential difference between the plates is V_B - VA = -8 volts. (a) What is the direction of the electric field between the disks? From A to B From B to A (b) Invent values of Q and R that would make V_B - V_A = -8 volts....
An air-filled capacitor is formed from two long conducting cylindrical shells that are coaxial and have radii of 21mm and 108 mm. The electric potential of the inner conductor with respect to the outer conductor is - 400 V (k = 1/4πε 0 = 8.99 × 109 N · m2/C2) The energy stored in a 1.0-m length of this capacitor is closest to 5.5 μJ. 2.7 μJ. 1.9 μJ. 7.6 μJ. 3.8 μJ.
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