Concept explainers
Pertinent dimensions for the transmission line shown in Figure 13.2 are b = 3 mm and d= 0.2 mm. The conductors and the dielectric are nonmagnetic. (a) If the characteristic impedance of the line is
(a)
The dielectric constant
Answer to Problem 13.7P
The dielectric constant
Explanation of Solution
Given:
The given figure is shown below..
.
Calculation:
The characteristic impedance of the transmission line is given as:.
Conclusion:
Thus, the dielectric constant
(b)
The loss tangent of the dielectric, when
Answer to Problem 13.7P
The loss tangent of the dielectric, when
Explanation of Solution
Given:
The given figure is shown below:.
.
Calculation:
For copper conductivity is
Thus, resistance can be calculated as:.
Capacitance can be calculated as:.
Inductance can be calculated as:.
As,
Conductivity can also be given as:.
The loss tangent is given as:.
Conclusion:
Thus, the loss tangent of the dielectric, when
Want to see more full solutions like this?
Chapter 13 Solutions
Engineering Electromagnetics
- a) The conductor shown in the figure below is composed of five strands. The diameter of each strand is 2.5 mm. Find the GMR (Geometric mean radius) of the conductor. b) The distance between conductors of a single-phase line is 3 m. Each conductor is composed of five strands as shown above. Find the inductance of the line.arrow_forwardOne circuit of a single-phase transmission line is composed of three solid 0.12" radius wires. The return circuit is composed of two 0.15" radius wires. Find the inductance of the complete line in mH/mi. The distance between wires are 40" horizontally and 25" vertically. A. 2.54 mH/mi B. 2.478 mH/mi C. 2.488 mH/mi D. 2.567 mH/mi Provide Clear Explainationarrow_forwardQ3: A single circuit three-phase transmission line is composed of four ACSR conductors per phase with the horizontal configuration as shown in the figure below. Find the inductance per km length of the transmission line. The radius of each conductor in the bundle is 1.25 cm. O0.5 m Q0.5 O0.5 m 4 marrow_forward
- The transmission line has the following dataweight of the conductor = 8.2 kg/m, working tension = 1765 kg, and the conductor sag = 4.2 meter, then the distance between the towers is ....................arrow_forwardA double-circuit its capacitance to neutral per mile. line is shown below. The conductor radius is 0.0452 ft. Determine 16' 16' a b 22' c' b' a'arrow_forwardThe distance between conductors of a single-phase line is 3 m. Each conductor is composed of five strands as shown above. Find the inductance of the line. Darrow_forward
- A Three-phase transposed line is composed of one conductor per phase with flat horizontal spacing of D = 14 meters, as shown in the below figure. The conductors have a diameter of 2.6 cm and a GMR of 1.012 cm. Find the capacitance per phase per kilometer of the line. a C D D 2D Select one: O a 0.0088 microF/Km Ob. 0.0077 microF/Km Oc 1.455 microF/Km Od. None of thesearrow_forwardA. For the following figure, the diameter of each conductor is 2.5 cm. Find the inductance and capacitance per km per phase. 40 cm 40 cm 40 cm a a' b' 10 m 10 m Phase A Phase B Phase C B. A 3-ph transmission line has 3 conductors b, spaced at the corners of an equilateral triangle of 350 cm side. Each conductor has 1.2 cm diameter. 1. Find the inductance per phase. 2. If the line is constructed with horizontal spacing with suitably transposed conductors, find the spacing between the first and last conductors which would give the same value of inductance as in the equilateral arrangement.arrow_forwardThe maximum and minimum stresses in the dielectric of a single-core cable are 40 kV/cm (r.m.s.) and 10 kV/cm (r.m.s.) respec- tively. If the conductor diameter is 2 cm, the insulation thickness isarrow_forward
- A 115 kv line has a horizontal configuration. The distance between adjacent conductors is 9ft. What is the geometric mean distance of the line?arrow_forwardFor the Figure 8 shown: A 181 -mile long, 60 Hz, three-phase, transmission line is composed 2 parallel lines. The conductors in the lines are stranded with GMR of 0.3146 -inch each. If the distance D in the figure is 6 ft., What is inductance per line in (mH)? Figure 8 o ‘O 1.732D 1.732D b' D 1.732D 2D D 1.732D 。arrow_forwardIn terms of line-to-line capacitance, the line-to-neutral capacitance of a single-phase transmission line is Same Twice One-halfarrow_forward
- Power System Analysis and Design (MindTap Course ...Electrical EngineeringISBN:9781305632134Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. SarmaPublisher:Cengage Learning