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題組內容

5. A very long solenoid, consisting of n closely wound turns per unit length on a cylinder of radius R and carrying a steady current I.

(a) Find the magnetic Field of the solenoid. (5%)

其他申論題

(b) What is the force on Q at (0, 0, a)? (6%)

(c) How much work does it take to move Q from (a, 0，0) to (0，0, a)? (6%)

(a) Find the magnetic field a distance z above the center of the loop. (10%)

(b) Find the magnetic moment of the loop. (5%)

(b) Find the self-inductance per unit length of the solenoid. (5%)

(c) Find the energy stored in a section of length 1 of the solenoid. (5%)

6. At the interface between one linear magnetic material and another magnetic field lines bend (see Fig. 3). Show that tanθ2 / tanθ1 = μ2/μ1 assuming there is no free current at the boundary. (12%)

(a) Find the electric field at a point p along its axis at a distance d from one end as shown in Fig. 1. (15 %)

(b) At large distances from the rod (that is, where d>>L)， what is the field of the rod? Give some discussion on your results. (5%)

(a) Find the potential at a distance z above the center of the charge distributions. (15%)

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