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How close do you have to be to the middle of a finite length of a current–carrying line before it appears infinite in length? Consider
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Fundamentals of Electromagnetics with Engineering Applications
- It 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_forwardThe contour given in the figure below (composed of semicircle and straight line) I current bears. Circle radius a, straight line 2a in length. The contour is in the xy-plane. Z magnetic flux at point P given on the axis Calculate its density.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_forward
- A line charge of length L carries the uniform line charge density ρl and coincides with the x-axis. a) Determine the V in the plane that cuts the line load in the middle. b) Determine E directly from ρl using coulomb's law.arrow_forwardIt is viewed from the cross-section of a coaxial cable consisting of a cylindrical conductive tube with an internal radius R and an outer radius of Rz wrapped around a cylindrical conductive wire with a RADIUS of R. r to indicate the radial distance from the center, the inner cylindrical conductor,if it is j1 = Gr and the outer conductive tube, j2 = Car has improper current densities. Here, the two conductors carry the same I flow in zit directions. What is the size of the B2 magnetic fields at r=1 cm and B2 at r= 8 cm?(R=4 cm; R=7 cm, R3=9 cm; Io=2 A; uo=47.10-7 T.m/A and our aquani-positive forehead outward from the page plane).arrow_forwardQ1) Evaluate both sides of stoke's theorem if the magnetic flux density is given by 37.7r aphi(vector) uWb/m^2 in a free space area defined byr = 3; 0arrow_forward
- Evaluate Gauss law for D = 5r2/4 i in spherical coordinates with r = 4m and θ = π/2 as volume integralarrow_forwardWhat will be the intrinsic impedance of free space? Show detailed steps of calculation.arrow_forwardQ1. Uniform line charges of 40nC/m lie along the entire extent of the three coordinate axes.Assuming free space condition, find E̅at P( -2,1, 2). Q2. The work is defined by the equation: ? = 2 cos ? − 4?2?2 . Determine the curl of thegradient of the work and comment on the result.arrow_forward
- Evaluate both sides of divergence theorem for for the volume enclosed between r=1 and r=2 in spherical coordinates. Given that D=(5r²/4)ararrow_forwardConsider a transmission line of three wires (infinite length). Each of the wires has a radius of 2 cm. Wire #1 whose center is at the point (0.0) cm flows a current of 3 A, through wire #2 centered at (0.10) cm a current of 5 A flows in the same direction as conductor 1 and Wire #3 centered at (0,-10) cm carries a current of 7 A in the opposite direction from conductors #1 and #2. Find the intensity and density of the magnetic field at the point P(3,0).arrow_forwardthe (positive and negative) x, y and z axes in free space. Find E at: PA(0, 0, 3) due to line charge of x-axes?arrow_forward
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