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阿Samn物理課本
1
7 電流
7-1電流與電動勢
阿Samn物理課本
電流Electric current
2
導體
靜電平衡,導體內部電場=0
處處 等電位 -e
-e 導體內自由電
子 無法移動
電荷如何流動?
2021-CH7- -99
電流 課綱
阿Samn物理課本
電流Electric current
3
3
導體
V1
低電位
V2
高電位 電場E
電子移動方向 電子流
在導體的兩端給與電位差
成因
金屬導體迴路之兩端分別與電源
之正負極相接時,導體兩端產生
電位差 ,內部產生 電場 且導體
構成 封閉回路 ,電場驅使自由
電子移動,產生 電流
2021-CH7- -99
電流 課綱
阿Samn物理課本
電流Electric current
4
定義:單位時間內通過某一(虛擬)截面的電量
𝑰𝑰 =
𝚫𝚫𝑸𝑸
𝚫𝚫𝒕𝒕
單位:安培,A
𝑰𝑰 =
𝚫𝚫𝑸𝑸+ + 𝚫𝚫𝑸𝑸−
𝚫𝚫𝒕𝒕
可導電物質中有正、負兩種可移動的帶電質點
1A:1秒鐘通過1庫侖的電量
1秒鐘有 6.25×1018 個電子通過
2021-CH7- -99
電流 課綱
阿Samn物理課本
電流Electric current
2021-CH7- -99
電流 課綱
5
導體
V1
低電位
V2
高電位
電場E
電子移動方向
電流 I
電子流
導體內部能夠移動的是 自由電子 ,
移動方向是從 低電位 移向 高電
位
電流方向定為 正電荷 流動方向
導線中 自 高 電位 流向 低 電位
電流
阿Samn物理課本
電流Electric current
2021-CH7- -99
電流 課綱
6
形成 封閉迴路 ,才有電流
阿Samn物理課本
電池 Battery
2021-CH7- -99
電流 課綱
7
伏打電池堆
https://commons.wikimedia.org/wiki/File:Vol
taBattery.JPG
提供電位差 而驅使
帶電粒子移動的裝
置
決定於金屬原子對
其價電子的 親和力
𝐈𝐈 =
𝚫𝚫𝑸𝑸+ + 𝚫𝚫𝑸𝑸−
𝚫𝚫𝒕𝒕
將化學能轉換為電位能
阿Samn物理課本
電池 Battery
2021-CH7- -99
電流 課綱
8
內電阻 𝑟𝑟 ( internal resistance)
電池內部存在對電流的阻礙作用
取決於 電池尺寸 材料化學性質
使用時的溫度
使用時間長短
真實電池:具有內電阻𝑟𝑟
理想電池:內電阻𝑟𝑟 為 零
端電壓𝑉𝑉:電池供電時,對外提供的
電壓
阿Samn物理課本
From: College Physics, McGraw-Hill
電動勢 𝜀𝜀 (Electromotive force , emf)
2021-CH7- -99
電流 課綱
9
推論電池具有某種驅動
力-驅使電流流動於電路
歐姆
電動勢
幫浦概念
使電路中的帶電粒子移動
阿Samn物理課本
電動勢 ε (Electromotive force , emf)
2021-CH7- -99
電流 課綱
10
+
-
𝜺𝜺
a
b
𝒓𝒓
來自相應的物理效應或化學效
應,也伴隨著能量的轉換。
使單位正電荷通過電池內部(低電
位到高電位),電池提供的能量
(化學能)
𝜺𝜺 =
𝑼𝑼𝒆𝒆
𝒒𝒒 單位:焦耳/庫倫伏特 V
電動勢指向:由電池負極指向正
極外電路的電流流向
提供電動勢的電路元件稱為電動
勢源,簡稱電源
阿Samn物理課本
電池的電動勢和端電壓的關係
2021-CH7- -99
電流 課綱
11
P Q
電流
電流
電流
電流
𝜺𝜺
A B
𝑟𝑟 零電位
在通電的封閉電路中,內電阻相當於
一個負載,並且消耗能量
𝑉𝑉 = 𝜀𝜀 − 𝐼𝐼𝑟𝑟
電池放電
𝑉𝑉 = 𝜀𝜀 + 𝐼𝐼𝑟𝑟
電池充電
電池放電,端電壓與電流關係
阿Samn物理課本
電池聯結方式-補充
2021-CH7- -99
電流 課綱
12
順向串聯。總電動勢為各電池電動勢之和
𝜀𝜀 = 𝜀𝜀1 + 𝜀𝜀2 + 𝜀𝜀3
逆向串聯:其中,電壓大的電池 當作電源,消耗
化學能;而電壓小的電池𝜀𝜀2 被 充電 ,獲得化
學能。
𝜀𝜀 = 𝜀𝜀1 − 𝜀𝜀2
同向並聯:總電動勢仍為單一電池的電動勢 ,
但可使用較久的時間
阿Samn物理課本
生物中的物理
2021-CH7- -99
電流 課綱
13
電鰻的放電能力來自特化的肌
肉組織所構成的放電體
每個放電體約可製造0.15伏特
的電壓
當數千個放電體一起全力放電
時的電壓便高達600~800伏特
阿Samn物理課本
例題1
2021-CH7- -99
電流 課綱
14
如圖所示,xy平面上有一半徑為 的圓形細線圈,
其上的電荷線密度 (即每單位長度的電量)均
相同。當線圈以ω的等角速度繞通過圓心且垂直
xy平面的轉軸轉動時,則線圈上所產生的電流I
為
阿Samn物理課本
15
7 電流
7-2 電阻與歐姆定律
2021-CH7- -99
電流 課綱
阿Samn物理課本
歐姆定律(Ohm’s Law)
2021-CH7- -99
電流 課綱
16
格奧爾格·歐姆
從1825年到1826年之間,格奧爾格·歐姆
做了很多有關於電路的實驗
阿Samn物理課本
歐姆定律(Ohm’s Law)
2021-CH7- -99
電流 課綱
17
稱為電阻 R
𝑹𝑹
𝑽𝑽
𝑹𝑹
𝐼𝐼
𝐼𝐼
𝑽𝑽
𝑰𝑰
=
電流I
電壓V
𝑽𝑽
𝑰𝑰
=常數
定溫下,金屬導體中的電流 𝑰𝑰 與兩
端的端電壓 𝑽𝑽 成正比
阿Samn物理課本
歐姆定律(Ohm’s Law)
2021-CH7- -99
電流 課綱
18
• 遵守歐姆定律:線性導體
• 常見的金屬棒、色碼電阻
• 不遵守歐姆定律:非線性導體
• 常見的電晶體
電流IB
電壓VEB
C
B E
電流I
電壓V
阿Samn物理課本
電阻(resistance)與電阻定律
2021-CH7- -99
電流 課綱
19
對導體施予電位差,內部產生電場,
自由電子在電場的作用下,形成電流。
自由電子應做加速運動,速度越來越
快。
在現實中,金屬內部的原子排列會有
缺陷。
電子在流動途中會被不按規則排列的
原子而散射,損失動能
阿Samn物理課本
電阻(resistance)與電阻定律
2021-CH7- -99
電流 課綱
20
由實驗得知,金屬導體的電阻值與 形狀 、
材質 有關
A
L
i
定溫下,金屬導體電阻值與導體長度L呈
現正比,與導體截面積A呈現反比
𝑹𝑹 ∝
𝑳𝑳
𝑨𝑨
𝑹𝑹𝑨𝑨
𝑳𝑳
= 常數 𝑹𝑹 = 𝝆𝝆
𝑳𝑳
𝑨𝑨
電阻率ρ
不同金屬導體有不同的常數值
單位:歐姆�公尺 𝛀𝛀 � 𝐦𝐦
描述材料導電性能的物理量
單位:歐姆�公分 𝛀𝛀 � 𝐜𝐜𝐦𝐦
感謝您
翁捷生
jens@bellowscollege.com

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