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Imagine a coaxial cable like transmission line with square cross-section of inner and outer conductors as shown in the figure. The cable is made transmission line at 300 MHz. 5.8x10. Calculate th...
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....
get the solution 1. A coaxial transmission line has inner and outer conductor radii a and b. Between conductors (a &...
get
the solution
1. A coaxial transmission line has inner and outer conductor radii a and b. Between conductors (a < ρ < b) lies a conductive medium whose conductivity is σ(p)- /p, where σ0is a constant. The inner conductor is charged to potential V0, and the outer conductor is grounded. (a) Assuming de radial current I per unit length inz, determine the radial current density field J in A/m2. (b) Determine the electric field intensity E in terms of...
Given a distortionless cable for 250 MHz. The outer radius is 20 mm. Assume copper conductors...
Given a distortionless cable for 250 MHz. The outer radius is 20 mm. Assume copper conductors are thick (σc = 5.7×107 S/m). The medium has σ = 10-5 S/m, μ = μ0, ε = ε0. (a) Please design the radius of the inner conductor, so this transmission the line can be distortionless; (b) Calculate the characteristic impedance of this line and its attenuation constant; (c) Calculate the distance of at most 10 dB attenuation.
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...
(a) A low-loss coaxial cable is required for a 100 MHz project. The diameter of the...
(a) A low-loss coaxial cable is required for a 100 MHz project. The diameter of the inner conductor (copper, σc = 5.7×107 S/m) and the outer diameter of the dielectric to be 2 mm and 7.75 mm, respectively. The dielectric inside this cable is XLPE polyethylene (εr = 2.2, σ = 2.5×10-6 S/m). Please calculated the per-unit-length inductance and per-unit-length conductance; (b) Find the characteristic impedance and its phase constant; (c) A two-wire transmission line is used instead where an...
on the outer conductor. 2. A very long coaxial cable is shown below. It has line...
on the outer conductor. 2. A very long coaxial cable is shown below. It has line charge density on the inner conductor and You can assume the outer conductor is very thin. Find the electric field at every point in space. (You may be confused by using a 1D density to describe the charge density on the figure. Imagine you take a slice of the figure below, just like you would cut out a slice from a loaf of bread....
The cross section of a 1-m long coaxial cable is shown in the figure, with radii...
The cross section of a 1-m long coaxial cable is shown in the
figure, with radii as given. The charge on the inner conductor is
-30 nC and the charge on the outer conductor is -70 nC. The inner
and outer cylindrical surfaces are respectively denoted by
A, B, C, and D, as shown.
(a) The radial component of the electric field at a point that
34 mm from the axis is?
(b) The radial component of the electric field...
Consider a cylindrical capacitor like that shown in Fig. 24.6. Let d = rb − ra...
Consider a cylindrical capacitor like that shown in Fig. 24.6. Let d = rb − ra be the spacing between the inner and outer conductors. (a) Let the radii of the two conductors be only slightly different, so that d << ra. Show that the result derived in Example 24.4 (Section 24.1) for the capacitance of a cylindrical capacitor then reduces to Eq. (24.2), the equation for the capacitance of a parallel-plate capacitor, with A being the surface area of...
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....
get
the solution
1. A coaxial transmission line has inner and outer conductor radii a and b. Between conductors (a < ρ < b) lies a conductive medium whose conductivity is σ(p)- /p, where σ0is a constant. The inner conductor is charged to potential V0, and the outer conductor is grounded. (a) Assuming de radial current I per unit length inz, determine the radial current density field J in A/m2. (b) Determine the electric field intensity E in terms of...
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...
on the outer conductor. 2. A very long coaxial cable is shown below. It has line charge density on the inner conductor and You can assume the outer conductor is very thin. Find the electric field at every point in space. (You may be confused by using a 1D density to describe the charge density on the figure. Imagine you take a slice of the figure below, just like you would cut out a slice from a loaf of bread....
The cross section of a 1-m long coaxial cable is shown in the
figure, with radii as given. The charge on the inner conductor is
-30 nC and the charge on the outer conductor is -70 nC. The inner
and outer cylindrical surfaces are respectively denoted by
A, B, C, and D, as shown.
(a) The radial component of the electric field at a point that
34 mm from the axis is?
(b) The radial component of the electric field...
Consider a cylindrical capacitor like that shown in Fig. 24.6. Let d = rb − ra be the spacing between the inner and outer conductors. (a) Let the radii of the two conductors be only slightly different, so that d << ra. Show that the result derived in Example 24.4 (Section 24.1) for the capacitance of a cylindrical capacitor then reduces to Eq. (24.2), the equation for the capacitance of a parallel-plate capacitor, with A being the surface area of...
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