94年 - 94 淡江大學轉學考電磁學#56116

科目：研究所、轉學考(插大)◆電磁學 | 年份：94年 | 選擇題數：0 | 申論題數：7

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所屬科目：研究所、轉學考(插大)◆電磁學

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申論題 (7)

【已刪除】1. Two spheres, each of radius R and carrying uniform charge densities + ρ and - ρ， respectively, are placed so that they partially overlap as shown in Fig. 1. Call the vector from the positive center to the negative center d. Show that the field in the region of overlap is a constant and find its value.

【已刪除】2. Consider the case of a slab of linear dielectric material, partially inserted between the plates of a parallel plate capacitor (Fig.2). Assume the total charge on the plates Q is held constant, as the dielectric moves. Find the force acting on the dielectric by the plates.

【已刪除】3- At the interface between one linear dielectric and another , the electric field lines bend (Mg.3). Show that tan θ₂ / tan θ₁ =

assuming there is no fi.ee charge at the boundary.

(a) Find the magnetic field between the plates and also above and below them.

(b ) Find the magnetic force per unit area on the upper plate , including its direction.

(c) At what speed v would the magnetic force balance the electrical force ?

【已刪除】5. Write down the four Maxwell's Equations in free space.