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

科目：研究所、轉學考(插大)◆電磁學 | 年份：110年 | 選擇題數：0 | 申論題數：9

試卷資訊

所屬科目：研究所、轉學考(插大)◆電磁學

選擇題 (0)

申論題 (9)

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 6191f8d487336.jpg. 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%)
6191f8ef7ad15.jpg
(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, 6191f9a841437.jpg. (20%) (Hint:6191f9c40b43e.jpg