110年 - 110 國立中央大學_碩士班招生考試_太空科學與工程學系：電磁學#103844

1. Find the electric field inside and outside a uniformly charged solid sphere of radius R (total charge is q), and the corresponding electric potential.(Use infinity as the reference point) (20%)

2. A metal sphere of radius a carries a charge Q. It is surrounded, out to radius b, by linear dielectric material of permittivity . Find the potential at the center (relative to infinity) ,the bound volume charge density, and the bound surface charge density at the inner and outer surfaces, respectively. (20%)

(a) What is the current at any subsequent time t? (5%)

(b) What is the total energy delivered to the resistor? (10%)

(c) Show that this is equal to the energy originally stored in the inductor. (5%)

(a) Find the magnetic field between the plates and also above and below them.(5%)

(b) Find the magnetic force per unit area on the upper plate, including its direction.(5%)

(c) At what speed v would the magnetic force balance the electrical force?(10%)

5. In magnetostatics, . (20%) (Hint:

110年 - 110 國立中央大學_碩士班招生考試_太空科學與工程學系：電磁學#103844

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