(3) Complex media

(4) Catabolism

一、語譯：請將下列各段先斷句，再譯成語體文。(每題10分，共40分) 1.毛遂曰臣乃今日請處囊中耳使遂蚤得處囊中乃穎脫而出非特其末見而已(《史記．平原君虞卿列傳》)

2.弄筆偎人久描花試手初等閑妨了繡功夫笑問雙鴛鴦字怎生書(歐陽脩〈南歌子〉)

3.汝將惡乎比予哉若將比予於文木邪夫柤梨橘柚果蓏之屬實熟則剝剝則辱大枝折小枝泄(《莊子．人間世》)

4.江干上下十餘里間珠翠羅綺溢目車馬塞途飲食百物皆倍穹常時而僦賃看幕雖席地不容閑也(周密〈觀潮〉)

二、作文(60分) 文學的理由 　　文學史上不少傳世不朽的大作，作家生前都未曾得以發表，如果不在寫作之時從中就已得到對自己的確認，又如何寫得下去？中國文學史上最偉大的小說《西遊記》、《水滸傳》、《金瓶梅》和《紅樓夢》的作者，這四大才子生平如今同莎士比亞一樣尚難查考，只留下施耐庵的一篇自述，要不是他說，聊以自慰，又如何能將畢生的精力投入生前無償的那宏篇巨製？ 　　這是高行健在〈文學的理由──得獎演說〉中所說的話，杜甫在〈偶題〉詩中也曾說「文章千古事，得失寸心知」，他們都曾確認自己投身文學的理由。可見文學之路，既豐富又貧瘠，創作需要確認理由，文學研究不也如此？請反思自我的文學經驗，以「文學的理由」為題，作文一篇。

1. Find the electric field at a distance s from an infinite straight wire which carries a uniform line charge density λ .

2. As shown in Fig. 1, find the magnetic field \( B \) at a distance \( z \) above the center of a circular loop of radius \( R \) which carry a steady current \( I \).

3. A fat wire, radius \( a \), carries a constant current \( I \), uniformly distributed over its cross section. A narrow gap in the wire, of width \( w \ll a \), forms a parallel-plate capacitor as shown in Fig. 2. Assume the charge is zero at \( t = 0 \). Calculate the Poynting vector in the gap, as functions of the distance \( s \) from the axis and the time \( t \).

4. As shown in Fig. 3, a very long solenoid of radius \( a \), with \( n \) turns per unit length, carries a current \( I_s \). Coaxial with the solenoid, at radius \( b >> a \), is a circular ring of wire, with resistance \( R \). When the current in the solenoid is gradually decreased, a current \( I_c \) is induced in the ring. The Poynting vector just outside the solenoid is \[ \vec{S} = \frac{\vec{E} \times \vec{B}}{\mu_0} = - \frac{1}{4} \mu_0 I_s \frac{dI_s}{dt} \frac{a^2 n}{(b^2 + z^2)^{3/2}} \hat{r}. \] Calculate the power delivered to the ring \( = R I_c^2 \). (Hint: You need to calculate an integral and use \( \int \frac{dz}{(b^2 + z^2)^{3/2}} = \frac{z}{b^2(b^2 + z^2)^{1/2}} \))

110年 - 110 國立臺灣大學_碩士班招生考試_食品科技研究所丙組:食品微生物學#101273

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101年 - 101 國立嘉義大學_碩士班(食品科技組)招生考試試題_食品科學系：食品微生物學#146236