(二)

(五)

(一)佛波醇（phorbol）是一種能促進腫瘤生長的有機化合物，其結構式如下，請以「*」 （星號）標示所有掌性碳的位置。 （6 分）

(二)請以 R，S 組態（configuration）標示下列葡萄糖立體結構式中之掌性碳。（6 分）

(三)化合物 A 有那些立體異構物？請寫出其立體結構式。 （8 分）

(一) A(C4H6O)：IR 3040(m), 3010(m), 2985(m), 2955(m), 2927(m), 2820(ms), 2740(ms), 1697(vs), 1644(vs), 1630(ms), 1448(s), 1395(ms), 1380(ms), 1207(m), 1150(vs), 1080(s), 970(vs), 934(s) .

(二) B()：NMR δ 1.33(s, 6H), 3.13(s, 6H).

(三) C()：IR; NMR δ 1.21(t, 3H), 2.65(q, 2H), 3.85(s, 3H), 7.23(d, 2H), 7.92(d, 2H).

1.(10%) (a) Explain Gradient, Divergence, and Curl. (b) Curl of a Gradient field, ∇✖ ∇v =0 Divergence of a Curl,∇. ∇✖ A= 0. Vis a scalar field, A is a vector field.說明其物理意義(why?) 或舉例。

2.(10%) For a coaxial transmission line, Fig. 1, the capacitance per unit length is , and the inductance per unit length is. At high frequencies, the internal inductance drops  off. Find the characteristic impedance of the coaxial line, , at high frequencies. Please also write down the unit of Zo, i.e,, what is the square root of (H/F)? What is the speed the wave travels in the coaxial cable? You can find it by calculating velocity = .

3.(10%) In the following configurations, Fig. 2, assuming both grounds are perfect conductors, current directions are as indicated (the solid arrows)； the image current for both cases are shown. Using an✖H = J, H is the magnetic field intensity on the ground, an is the normal vector of the top surface of the grounds, determine the direction of the currents on the top surface of the grounds.Current relative to the ground. Considering both the original current and its induced current on the ground, which one, left or right, is likely to be an effective antenna structure, why?