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研究所、轉學考(插大)◆電磁學
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92年 - 92 淡江大學 轉學考 電磁學#56058
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題組內容
4. Assume that a long solenoid of radius R with n turns of thin wires per unit length is carrying a steady current /,and its axis of symmetry is along the z-direction.
(a) Justify that the magnetic field (whenever nonzero) is in the z-direction.
其他申論題
【已刪除】 (a) Find the electric field and potential (V) as a function of the radial distance (r) from the center of the sphere.
#212833
(b) Calculate the electrostatic energy of the system. (20%)
#212834
【已刪除】2. Assume that a static charge distribution (ρ) produces an electric potential V, where A and a are positive constants, is the position vector, r = ||. Now, it is given that ▽2(1 /r) = -4πδ(). Find the electric field charge density and the total charge Q. (20%)
#212835
【已刪除】3. Jusitify that the vector potential of a uniform magnetic field may be expressed as (10 %)
#212836
【已刪除】(b)Show that (the magnetic flux through a surface enclosed by a closed path C), c where is the vector potential.
#212838
(c) Find the magnetic field intensity (H) and vector potential throughout the space. (20%)
#212839
(a) Write down the corresponding integral form for each of the four Maxwell’s equations, and specify the physical meaning for each of them.
#212840
【已刪除】(b) Show that the free charge density and free current density satisfy the continuity quation: (Hint: Two of the Maxwell equations may be useful).
#212841
(c) Show that the tangential component of the electric field must be continuous across any boundary surface. (30 %)
#212842
(1)參數(Parameter)
#212843