課程名稱︰普通物理學甲下
課程性質︰數學系大一必帶
課程教師︰黃暉理
開課學院：理學院
開課系所︰數學系
考試日期（年月日）︰2014/04/01
考試時限（分鐘）：60
試題 :
1. A copper wire with length $L_1$ and cross section A. (Suppose the conducti-
vity of copper is σ.)
(a) What is the resistant $r_w$ of the wire? (Show it by $L_1$, A and σ.)
(9 pt.)
(b) If the wire is connected to a resistance $r_2$ and a real battery having
internal resistance $r_1$ and emf ξ. What are the current i and the po-
tential differences across the real battery ($V_b$) and resistance $r_2$
($V_r$)? (Show them by $r_i$ and ξ.) (27 pt.)
(c) What are the powers due to the wire, the resistance of battery and the
resistance $r_2$? ($P_w$, $P_b$ and $P_r$) (Show them by i and $L_2$.)
(27 pt.)
(d) If $L_1 = 1.0 m$, $A = 1.0 mm^2$, $r_1 = 2.9 \Omega$, $r_2 = 0.083
\Omega$ and ξ = 3.0 V. What are the answers of (a), (b) and (c)? (The
resistivity of copper is $1.69 \times 10^{-8} \Omega \cdot m$.) (7 pt.)
(e) Now we bend the wire to make a square loop with length $L_2$ ($S_1 \sim
L_1 \gg L_2$). What is the magnitude of the magnetic field M at center
due to the current of the square loop? (Show them by i and $L_2$.) (10
pt.)
https://i.imgur.com/aGEuceV.png
\begin{tikzpicture}
\draw (8, 0.05) -- (2, 0.05) -- (2, 2) -- (-2, 2) -- (-2, -2)
-- (2, -2) -- (2, -0.05) -- (8, -0.05);
\draw (0, 2) node[anchor=south]{$L_2$};
\draw (2, 1) node[anchor=west]{$L_2/2$};
\draw (2, -1) node[anchor=west]{$L_2/2$};
\draw (5, 0.05) node[anchor=south]{$S_1$};
\draw (8, 0) node[anchor=west]{\ldots};
\filldraw (0, 0) circle(1pt) node[anchor=south]{$M=\ ?$};
\end{tikzpicture}
2. A particle of mass m moves along a circle in a region of uniform magnetic
field of magnitude B. The particle is either a proton (charged +q) or an
electron (charged -q) (you must decide which). It experiences a magnetic
force of magnitude F. What are (a) the type of the particle, (b) the parti-
cle's speed, (c) the radius of the circle, and (d) the period of the motion?
(20 pt.)
https://i.imgur.com/myLkAhV.png
\begin{tikzpicture}
\draw (0, 0) circle(1);
\filldraw (-1, 0) circle(1pt);
\draw[->] (-1, 0) -- (-1, -0.5);
\draw (-1, -1) node{$\odot\vec B$};
\end{tikzpicture}
--
第01話 似乎在課堂上聽過的樣子 第02話 那真是太令人絕望了
第03話 已經沒什麼好期望了 第04話 被當、21都是存在的
第05話 怎麼可能會all pass 第06話 這考卷絕對有問題啊
第07話 你能面對真正的分數嗎 第08話 我，真是個笨蛋
第09話 這樣成績，教授絕不會讓我過的 第10話 再也不依靠考古題
第11話 最後留下的補考 第12話 我最愛的學分
--
※ 發信站: 批踢踢實業坊(ptt.cc), 來自: 36.230.32.167 (臺灣)
※ 文章網址: https://www.ptt.cc/bbs/NTU-Exam/M.1744178321.A.161.html
※ 編輯: xavier13540 (36.230.32.167 臺灣), 04/09/2025 21:46:24