Show me the steps to solve Find the vector magnetic potential A at a distant point, P(x, y, z). Show that it can be put in the form of Eq. (6-45)
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In free space, a magnetic vector potential is given by: [Dalam ruang bebas, satu vektor keupayaan magnet diberikan oleh:] A = (2x^2y + yz) ax + (xy^2 - xz^3) ay - (6xyz - 2x^2y^2) az [Wb/m] (i) Determine the magnetic field intensity. [Tentukan keamatan medan magnet.] (ii) Calculate the current (in kA) flowing in clockwise direction in a rectangular blue loop of 0.6 m x 0.2 m situated on the xz plane, as shown in figure below. The corner located at y position has sides parallel to the x-axis. [Kirakan satu arus (dalam kA) yang mengalir mengikut arah jam mengikut gelung biru segiempat tepat 0.6 m x 0.2 m yang terletak di satah xz, seperti ditunjukkan dalam rajah di bawah. Penjuru yang terletak di kedudukan y mempunyai sisi selari dengan paksi-x.] Note [Nota]: Please use your last 3-digit student Matric No. as the location of y. For example, if your Matric No. is 181090049-1, then your location of y will be 4.91 m. [Sila gunakan 3-digit terakhir No. Matrik pelajar anda sebagai kedudukan y. Contohnya, jika No. Matrik anda adalah 181090049-1, maka kedudukan y anda akan menjadi 4.91 m.] (b) From the relationship between magnetic field and magnetic vector potential, derive the equation below. Name the equation. [Daripada hubungan di antara medan magnet dan potensi vektor magnetik, terbitkan persamaan di bawah. Namakan persamaan tersebut.] ∇²A = - μJ
Sri K.
In free space, a magnetic vector potential is given by: [Dalam ruang bebas, satu vektor keupayaan magnet diberikan oleh:] A = (2x^2y + yz) ax + (xy^2 - xz^3) ay - (6xyz - 2x^2y^2) az [Wb/m] (i) Determine the magnetic field intensity. [Tentukan keamatan medan magnet.] (ii) Calculate the current (in kA) flowing in clockwise direction in a rectangular blue loop of 0.6 m x 0.2 m situated on the xz plane, as shown in figure below. The corner located at y position has sides parallel to the x-axis. [Kirakan satu arus (dalam kA) yang mengalir mengikut arah jam mengikut gelung biru segiempat tepat 0.6 m x 0.2 m yang terletak di satah xz, seperti ditunjukkan dalam rajah di bawah. Penjuru yang terletak di kedudukan y mempunyai sisi selari dengan paksi-x.] For example, y = 0.40 m
Consider a circular wire loop of radius R located in the y-z-plane and carrying a steady current (shown in Figure 10). Derive an expression for the magnitude and direction of the magnetic field at an axial point, a distance x from the center of the loop. Be sure to show a vector diagram to explain your work. Use the expression you found in Part 1 to determine the magnetic field (magnitude and direction) at the center of the coil, that is, at x = 0.
Breanna O.
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