Problem 13 (5 points) (Chap 5.24) (Learning objective: Coaxial capacitor) The capacitance of a particular coaxial cable is 30 pF/m. This cable uses polyethy- lene as the spacer material, having a relative permittivity of 2.25. What is the capacitance of this cable if the spacer material is changed from polyethylene to air?
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- An iron rod with diameter of 1.5-centimeter was formed into an almost perfect circular ring (including the air gap at the joint) having an average centerline radius of 10.0-centimeter. The air gap is 0.25 centimeter in length. A coil of 200 turns was wounded on the ring and a current of 5.0-amperes DC was made to flow using external DC source. Considering magnetic flux fringes on the air gap , the effective cross sectional area of the air gap increased by 5% compared to that of the rod. Relative Magnetic Permeability of Iron = 5500. Consider the average or centerline circumference of the ring as the total magnetic path (rod+airgap). 1. What is the total Reluctance of the ring ( rod + air gap ) (A-turns/Wb) ? 2.What is the magnetic flux generated in the ring? 3. What is the magnetic flux density in the air gapA piece of RG-59B/U Coaxial cable has a nominal capacitance of 0.8 F/m, and 8.5 H inductance per meter. Assume the diameter of the inner conductor as 0.8m, and the dielectric constant of the insulation as 2.9. Find the diameter of the outer conductor in cm?Determine the mutual inductance between a very long straightwire and a conducting circular loop of radius “b” m set up “d” mapart on the same plane as shown figure.Problem:
- A standard conductor having a radius of 1 cm. Find the inductance for strandard and hollow conductor both at a distance of 2.5 m and mention which one is higher.A coaxial cable of consists of two concentric cylindrical conductors. The region between the conductors is completely filled with polyethylene plastic. The radius of the inner conductor is 0.50 cm, the radius of the outer conductor is 1.75 cm, and the length of the cable is 15 cm. The resistivity of the plastic is 10130- m. Calculate the resistance of the plastic if the electric field is applied across the ends of the conductor. 45.2048 x 1012 ohms O The answer cannot be found on the other choices. O 13.2922 x 1012 ohms 1.6977 x 1015 ohmsTwo long, cylindrical conductors of radii a, and a, are parallel and separated by a distance d, which is large compared with either radius. Show that the capacitance per unit length is given approximately by 1.7 C - TEo In- where a is the geometrical mean of the two radii. Approximately what gauge wire (state diameter in millimeters) would be nec- essary to make a two-wire transmission line with a capacitance of 1.2 x 10-11 F/m if the separation of the wires was 0.5 cm? 1.5 cm? 5.0 cm?
- Example//A coaxial cable of length L with inner conductor of radius a and the outer of radius b. Find the capacitance of this cable.The ratio of the inner conductor perimeter to the outer conductor perimeter of a coaxial cable is 0.4993 and how many structure capacitance pF/m is the insulated coaxial line?14-13 Some common parameters for several types of coaxial cable are a characteristic impedance of 50 2 and a velocity of propagation oqual to or the velocity of free space. Determine (a) inductance per unit length, (b) capacilance per unit lengih, and (C) diclectric constant of the insulating malerial.
- Q-1: A coaxial cable or coaxial cylindrical capacitor the length of L of two coaxial conductors of inner radius "a" and outer radius "b" (b> a) as shown in the figure. Drive an equation for the capacitance of this capacitor. (you must show all symbols you will use on the figure). Assume the inner cable has +Q, and the outer cable has-Q charges. dielectric eA coaxial cable of consists of two concentric cylindrical conductors. The region between the conductors is completely filled with polyethylene plastic. The radius of the inner conductor is 0.50 cm, the radius of the outer conductor is 1.75 cm, and the length of the cable is 15 cm. The resistivity of the plastic is 10130- m. Calculate the resistance of the plastic if the electric field is applied across the inner and outer radii of the conductor. O 1,6977 x 10o15 ohms 45.2048 x 1012 ohms 13.2922 x 1012 ohms O The answer cannot be found on the other choices.Choose one or more than one option and answer in detail with principle