88年 - 88 淡江大學轉學考電磁學#56180

科目：研究所、轉學考(插大)◆電磁學 | 年份：88年 | 選擇題數：0 | 申論題數：11

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 (11)

【已刪除】(a)

【已刪除】(b)

Here c is a constant with the appropriate units. For the possible one，find the potential K(x，y，z)，using the origin as your reference point，(10 %)

(a) Find the electric field inside and outside the spherical shell (10 %)

(b) Find the potential inside and outside the spherical shell. (10 %)

(a) Find the magnetic field of the toroid both inside and outside the coil. (10 %)

(b) Find the self-inductance of the coil, (5 %)

(c) Calculate the energy stored in the coil (5 %)

【已刪除】4. Place a metal ring on top of a solenoidal coil (around an iron corn), turn on the current (flows conuterclockwise if view from the top of the coil) and plug metal ring in，then what will happen? And explain why. (10 %)

(a) Write down the differential form of the four Maxwell’s equations in terms of free charges p f and currents Jf for E，B，D，and H respectively* (10 %)

(b) Derive the boundary conditions for these fields at the interface between two different media (medium 1 and medium 2)，where the interface carries free charge density p f or current density K_f‘ (15 %)

(c) In the case of linear media (medium 1 and medium 2)，show the boundary conditions in terms of E and B alone. (5 %)