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)
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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)
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- The vector magnetic potential inside a conductive cylindrical conductor of radius b is given by A . H =?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.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)
- A cylindrical conductor of radius 1 cm has an internal magnetic field ? = ?0 (?2−?20.03) ?Φ ?/?Find the total current carried by the cylindrical conductor.A 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:Given 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=εE
- Problem 1: A 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:a. The potential at AA spherical conductor is known to have a radius and a total charge of 10 cm and 20uC. If points A and B are 15 cm and 5 cm from the center of the conductor, respectively. If a test charge, q = 25mC, is to be moved from A to B, determine the following: a. what is the work done in moving the test charge? b. what is the rate of change of the potential with respect to length or displacement in the conductor?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.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.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.Consider 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).