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Suppose we have a conductive bar moving along a pair of conductive rails as in Figure 4.12, only now the magnetic flux density is
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Fundamentals of Electromagnetics with Engineering Applications
- When the same current flows in the same direction in the form of two parallel straight lines separated by l, as shown in Figure 5, the twoFind the magnetic field H at the position where the distance is z0 away from the center line perpendicular to the propagation current.The thickness of the line is zero and the material of space is air.arrow_forwardA flat, circle surface area with a radius of 4m is in the YZ-plane at x=0, Find the magnitude of the magnetic flux through this surface produced by a magnetic flux density of B=3.5ax-6.4ay+8az Tarrow_forwardAs shown in Figure 4, when a current I flows in a straight line with infinite length, the distance ? from the current flow is ?Find the intensity H of the magnetic field from as far away as . The thickness of the line is zero and the material of space is air.arrow_forward
- 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.arrow_forwardThe two long coaxial solenoids of radius a and b carry current I= 6 mA but in opposite directions. Solenoids are placed along y-axis as shown in figure. The inner solenoid has 2000 turns per unit length and outer solenoid has 1000 turns per unit length. Calculate Magnetic field intensity inside the inner solenoid will be??arrow_forwardConsider two coaxial solenoids with free space cores. Solenoid A is placed inside Solenoid B and solenoid B carries a current of 2I0 which creates a magnetic flux density of magnitude of B0. If the cross-sectional area, length and number of turns per length of Solenoid A are S, 4h and n respectively, calculate the mutual inductance between Solenoid A and Solenoid B.arrow_forward
- The magnetic flux density in a region of free space is given as B = 6xax -9yay + 3zaz T. the force on the side 2 of rectangular loop shown in Figure, it lies in the plane z = 0.arrow_forwardA current I circulates in the direction shown in the figure in a closed ring in the form of a right triangle with side lengths a. If this ring is placed at a distance 2a from a very long wire parallel to its long side and carrying a current of 2I, as shown in the figure, what would be the net magnetic force acting on the ring?arrow_forwardA 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.arrow_forward
- 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)arrow_forwardGiven a magnetic flux density of 0.128 T that is uniform in the positive z direction. What is the magnetic flux: a. across the surface abcd? b. across the surface befc? c. across the surface aefd?arrow_forwardA straight wire along z-axis of length 2 meters extend from (0, 0, -1) to (0, 0. 1) and a current of 1 Ampere is passed through it. The magnetic field at a point along the z-axis at a distance of 3 meters from either end of the wire is given byarrow_forward
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