6- In free space, an infinite line conductor carrying I [A] DC current is bent into L shape. Consider the observation point A located at (0, 0, 2). Find the resulting magnetic field intensity vector at A. A. I I u = Ho 60° 60°
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![6- In free space, an infinite line conductor carrying I [A] DC current is bent into L shape. Consider the
observation point A located at (0, 0, 2). Find the resulting magnetic field intensity vector at A.
A,
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- 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).An image taken from the cross-sectional area of a coaxial cable consisting of a solid inner conductor of Radius R, surrounded by a concentric cylindrical tube of inner radius R, and outer radius Rg is given in the figure. The inner conductor and outer conductor (cylindrical tube) have the current density j1 = Cr and ja = Cyr respectively, for which r is the radial distance from the center. Each conductor carries the same total 1, in opposite directions. What is the magnitude of the magnetic field B, at a distance 11 = 2 cm and B, at a distance 12 = 9 cm? (R = 5 cm; R2 = 8 cm; Rg = 10 cm: 1, = 4 A; Ho = 47x10-?T.m/A. Take the sign of the current coming out from the page plane as positive).A 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?
- The 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.Supposed that a coaxial cable consists of a solid inner conductor of radius a, surrounded by a concentric cylindrical tube of inner radius b and outer radius c as shown below. We assume that the conductors are carrying an equal current I naught that is distributed equally into the cross-section but of different directions as indicated by the directions in the image above. Calculate the magnitude of magnetic field at a distance r from the axis, where: - rc Plot the magnitude of the magnetic field with respect to the distance r from the axis.It 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).
- For a solid cylindrical conductor centered at the origin of radius “4cm” and carrying a uniform current of 3 A in the “z” direction. Find B at the following points: a) (2,6,0) b) (6,2,0)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 .Q1) 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; 0
- The 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.The magnetic field intensities inside and outside of a long and smooth conductor with a cross section radius are as follows. Accordingly, find the current densities J inside and outside the conductor. (Hint: Use cylindrical coordinates)3. 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.