A long cylindrical coaxial capacitor of length ?, has an inner radius ? and an outer...
A long cylindrical coaxial capacitor of length ?, has an inner
radius ? and an outer radius ?, as shown in figure (4). The
capacitor is filled with one layers of an isotropic and homogenous
dielectric with permittivity of 4??. If the voltage of the inner
electrode is maintained at ?? while the outer electrode is earthed,
calculate the following:
a) Electric flux density and the electric field intensity in whole
space
b) The equation that describe the voltage between the two
electrodes
c) Sketch qualitatively the electric field lines and the
equipotential surfaces between the two electrodes
Homework Answers
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A long cylindrical coaxial capacitor of length ?, has an inner
radius ? and an outer...
A coaxial capacitor (cylindrical shape) is filled with two coaxial dielectric lasers. The relative permittivity of...
A coaxial capacitor (cylindrical shape) is filled with two coaxial dielectric lasers. The relative permittivity of the layer near the inner electrode of the capacitor is epsilon_r|, and that of the other laser is epsilon_r2. The radius of the inner electrode is a, the radius of the boundary surface between the layers is b, and the inner radius of the outer electrode is c. Calculate the capacitance per unit length of the cable. If the voltage between the inner and...
7.U)A cylindrical capacitor of length L consists of coaxial conducting surfaces of radii a and b...
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...
A coaxial line with cylindrical symmetry as shown in cross section by Figure A1-1. It is...
A coaxial line with cylindrical symmetry as shown in cross section by Figure A1-1. It is constructed from a solid inner conductor of radius a, a hollow outer conductor of internal radiusb and is filled with a dielectric having relative permittivity & 2b 2a Figure A1-1: Cross section of a coaxial transmission line (a) Draw lines of electric and magnetic flux for a coaxial transmission line. (4 marks) (b) Use Gauss' Law and a relationship between electric field and voltage...
Problem 2: Consider a coaxial cable with an inner conductor radius of a and outer conductor...
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...
A coaxial cable consists of an internal solid cylindrical conductor of radius a and a cylindrical...
A coaxial cable consists of an internal solid cylindrical conductor of radius a and a cylindrical conductive thin shell of radius b separated by a dielectric of permittivity e.Assuming the length of the cable as infinite and that it carries a linear electric charge of qlcoulombs/meter, find the following:1. The electric field E for a ≤p≤b2. The voltage difference between the two conductor surfaces. 3. Since the maximum value of the electric field occurs at the surface p = a,...
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.
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 5 Suppose a coaxial capacitor with inner radius 1 em, outer radius 2 cm, and...
Problem 5 Suppose a coaxial capacitor with inner radius 1 em, outer radius 2 cm, and length of 1 m is constructed with two different dielectrics. When oriented along the z-axis, er for 0。S$ 9.0, and ε, for 180's φ 360° is 4.0. s i 80° is (a) Calculate the capacitance for this coaxial capacitor. (b) If a voltage of 9 volts is applied across the conductors, determine the electrostatic energy stored in each dielectric for this capacitor.
P25.5. Compare the loss in the inner conductor and outer conductor of a coaxial cable at 1 MHz. A...
P25.5. Compare the loss in the inner conductor and outer conductor of a coaxial cable at 1 MHz. Assume the conductors are made of copper, that the cable is filled with a dielectric of permittivity er - 3, and that the dimensions are such that the inner conductor radiu:s a = 0.45 mm, and inner radius of the outer conductor b ae. The ratio of losses per unit length in the two conductors is: (a) 3.05. (b) 2.72. (c) 2.30....
A spherical capacitor has inner radius a and outer radius b
A spherical capacitor has inner radius a and outer radius b, and is filled with an inhomogeneous dielectric with . Show that the capacitance of the capacitor is by assuming. (a) Q0 at the inner sphere and -Q0 at the outer sphere. (b) V0 at the inner sphere and 0 at the outer sphere.
A.) We'll start with a very long coaxial cable that has two parts. There's a conducting...
A.) We'll start with a very long coaxial cable that has two parts. There's a conducting cylindrical inner wire of radius a, and a conducting cylindrical sheath around that with radius b. The space in between (a<r<b) is empty. Let the inner conductor have some linear charge density lambda along its length. Derive an expression for the magnitude of the electric field between the inner and outer conductors as a function of r. B.) Consider the same geometry as the...
A coaxial capacitor (cylindrical shape) is filled with two coaxial dielectric lasers. The relative permittivity of the layer near the inner electrode of the capacitor is epsilon_r|, and that of the other laser is epsilon_r2. The radius of the inner electrode is a, the radius of the boundary surface between the layers is b, and the inner radius of the outer electrode is c. Calculate the capacitance per unit length of the cable. If the voltage between the inner and...
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...
A coaxial line with cylindrical symmetry as shown in cross section by Figure A1-1. It is constructed from a solid inner conductor of radius a, a hollow outer conductor of internal radiusb and is filled with a dielectric having relative permittivity & 2b 2a Figure A1-1: Cross section of a coaxial transmission line (a) Draw lines of electric and magnetic flux for a coaxial transmission line. (4 marks) (b) Use Gauss' Law and a relationship between electric field and voltage...
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...
Problem 5 Suppose a coaxial capacitor with inner radius 1 em, outer radius 2 cm, and length of 1 m is constructed with two different dielectrics. When oriented along the z-axis, er for 0。S$ 9.0, and ε, for 180's φ 360° is 4.0. s i 80° is (a) Calculate the capacitance for this coaxial capacitor. (b) If a voltage of 9 volts is applied across the conductors, determine the electrostatic energy stored in each dielectric for this capacitor.
P25.5. Compare the loss in the inner conductor and outer conductor of a coaxial cable at 1 MHz. Assume the conductors are made of copper, that the cable is filled with a dielectric of permittivity er - 3, and that the dimensions are such that the inner conductor radiu:s a = 0.45 mm, and inner radius of the outer conductor b ae. The ratio of losses per unit length in the two conductors is: (a) 3.05. (b) 2.72. (c) 2.30....
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