Concept explainers
A 1.0-m-long coaxial cable of inner conductor diameter 2.0 mm and outer conductor diameter 6.0 mm is filled with an ideal dielectric with
Want to see the full answer?
Check out a sample textbook solutionChapter 4 Solutions
Fundamentals of Electromagnetics with Engineering Applications
- Determine the capacitance of: (a) a 1-ft length of 35B/U coaxial cable,which has an inner conductor 0.1045 in. in diameter, a polyethylene dielectric(r = 2.26 from Table C.1), and an outer conductor that has an inner diameter of0.680 in.; (b) a conducting sphere of radius 2.5 mm, covered with a polyethylenelayer 2 mm thick, surrounded by a conducting sphere of radius 4.5 mm; (c) tworectangular conducting plates, 1 cm by 4 cm, with negligible thickness, betweenwhich are three sheets of dielectric, each 1 cm by 4 cm, and 0.1 mm thick, havingdielectric constants of 1.5, 2.5, and 6.arrow_forwardGiven a coaxial capacitor with the length of L which has two coaxial conductors with radius a=1 cm and b= 4 cm for inner and outer conductor, respectively. The inner conductor carries the total charge of –Q C whilst the outer carries +Q C. If the length of the coaxial, L = 100m and the coaxial is filled with the lossy Teflon (εr = 2.2 and σ = 4 Sm-1), determine: i. Potential Different between r = 3cm and r = 6cm ii. Energy in region a<r<b Note: In dielectric material, permittivity ε=εoεr and D=εEarrow_forwardIf the ratio of the inner conductor circumference to the outer conductor circumference of a coaxial cable is 0.4993, what is the capacitance per unit length of the air-insulated coaxial line, in pF/m?arrow_forward
- Two lengths of conductors are made from, i) a single solid copper wire of radius 5 mm, and, ii) a bundle of 25 solid copper wires each of radius 1 mm. For each conductor, estimate the resistance per unit length at a frequency of 1 MHz. You may assume a conductivity of σ = 6.7 × 107 Ω −1m−1 and that the skin depth, δ, is given by δ = r 2 µ0σω .arrow_forwardIt is desired to construct uniform transmission lines using polyethylene (εr = 2.25) as the dielectric medium. Assuming negligible losses, find the distance of separation (in mm) for a 308 Ω two–wire line, where the radius of the conducting wires is 0.6 (mm).arrow_forwardA round underwater transmission cable consists of a core ofcopper wires surrounded by nonconducting insulation. If x denotesthe ratio of the radius of the core to the thickness of theinsulation, it is known that the speed of the transmission signalis given by the equation y = x2 ln (1/x). If the radius of the coreis 1 cm, what insulation thickness h will allow the greatest transmissionspeed?arrow_forward
- Derive the formula for the internal inductance in H/m of a hollow conductor having inside radius r1 and outside radius r2 and also determine the expression for the inductance in H/m of a single-phase line consisting of the hollow conductors described above with conductors spaced a distance D apart.arrow_forward3. As shown in the figure, a current of 3D204 flows through a long U-shaped (hairpin)-shaped conductor made by bending the conductor in a semicircle with a radius of R = 100mm. Point 6 is the middle of the straight part, very far in a semicircle, and the straight part can be approximated as an infinity line. Find the (a) magnitude and (b) direction of B at point a, respectively, and (c) magnitude and (d) | Find each direction.arrow_forwardA slab of dielectric material has a relative dielectric constant of 3.8 and contains a uniform electric flux density of 8nC/m^2. If the material is lossless; find (a) E, which is the amplitude of the electric field. (b) The polarization P.arrow_forward
- 4 Starting from the expression for reflectance r at normal incidence on a dielectric and assuming that for a conductor k (or n) becomes complex, derive an expression for ‘r’ for normal incidence on a good conductor.arrow_forwardThe geometric mean radius of the conductor in a 380 kV, 120 km long transmission line 24mm. The roughness factor of the conductor is 0,98. Geometric mean length between phases of conductors 3,2 m. Air pressure across the line 725 mmHg, temperature 18 degrees Celcius and the conductor surface temperature is 85 degrees Celsius.According to this,a) Calculate the voltage at which ionization starts and the corona voltage.b) Find the corona loss for operating voltage with Peek formula.c) Calculate the total corona loss of the line with the Peek formula for a 15% increase in operating voltage.arrow_forwardA spherical conductor is known to have a radius and a total charge of 10 cm and 20uC. If points Aand B are 15 cm and 5 cm from the center of the conductor, respectively. If a test charge, q = 25mC, is to bemoved from A to B, determine the following:arrow_forward
- Introductory Circuit Analysis (13th Edition)Electrical EngineeringISBN:9780133923605Author:Robert L. BoylestadPublisher:PEARSONDelmar's Standard Textbook Of ElectricityElectrical EngineeringISBN:9781337900348Author:Stephen L. HermanPublisher:Cengage LearningProgrammable Logic ControllersElectrical EngineeringISBN:9780073373843Author:Frank D. PetruzellaPublisher:McGraw-Hill Education
- Fundamentals of Electric CircuitsElectrical EngineeringISBN:9780078028229Author:Charles K Alexander, Matthew SadikuPublisher:McGraw-Hill EducationElectric Circuits. (11th Edition)Electrical EngineeringISBN:9780134746968Author:James W. Nilsson, Susan RiedelPublisher:PEARSONEngineering ElectromagneticsElectrical EngineeringISBN:9780078028151Author:Hayt, William H. (william Hart), Jr, BUCK, John A.Publisher:Mcgraw-hill Education,