初三物理第十五章电流与电路知识点
-->第一节电荷摩擦起电
1、电荷:
带电体:物体有了吸引轻小物体的性质,我们就说是物体带了电(荷)。这样的物体叫做带电体。
自然界只有两种电荷——被丝绸摩擦过的玻璃棒带的电荷是正电荷(+);被毛皮摩擦过的橡胶棒上带的电荷叫做负电荷(-)。
电荷间的相互作用:同种电荷互相排斥,异种电荷互相吸引。
带电体既能吸引不带电的轻小物体,又能吸引带异种电荷的带电体。
电荷:电荷的多少叫做电荷量,简称电荷,符号是Q。电荷的单位是库仑(C)。
2、检验物体带电的方法:
①使用验电器。
验电器的构造:金属球、金属杆、金属箔。
验电器的原理:同种电荷相互排斥。
从验电器张角的大小,可以判断所带电荷的多少。但验电器不能检验带电体带的是正电荷还是负电荷。
②利用电荷间的相互作用。
③利用带电体能吸引轻小物体的性质。
3、使物体带电的方法:
(1)摩擦起电:
定义:用摩擦的方法使物体带电。
背景:
宇宙是由物质组成的,物质是由分子组成的,分子是由原子组成的,原子是由位于中心的原子核和核外的电子组成的,原子核的质量比电子的大得多,几乎集中了原子的全部质量,原子核带正电,电子带负电,电子在原子核的吸引下,绕核高速运动。原子核又是由质子和中子组成的,其中质子带正电,中子不带电。
在各种带电微粒中,电子电荷量的大小是最小的,人们把最小电荷叫做元电荷,通常用符号e表示。任何带电体所带电荷都是e的整数倍。6.25×1018个电子所带电荷等于1C。
在通常情况下,原子核所带的正电荷与核外所有电子总共带的负电荷在数量上相等,整个原子呈中性,也就是原子对外不显带电的性质。
原因:由于不同物质原子核束缚电子的本领不同。两个物体相互摩擦时,原子核束缚电子的本领弱的物体,要失去电子,因缺少电子而带正电,原子核束缚电子的本领强的物体,要得到电子,因为有了多余电子而带等量的负电。
注意:①在摩擦起电的过程中只能转移带负电荷的电子;
②摩擦起电的两个物体将带上等量异种电荷;
③由同种物质组成的两物体摩擦不会起电;
④摩擦起电并不是创造电荷,只是电荷从一个物体转移到另一个物体,使正负电荷分开,但电荷总量守恒。
能量转化:机械能-→电能
(2)接触带电:物体和带电体接触带了电。(接触带电后的两个物体将带上同种电荷)
(3)感应带电:由于带电体的作用,使带电体附近的物体带电。
4、中和:放在一起的等量异种电荷完全抵消的现象。
如果物体所带正、负电量不等,也会发生中和现象。这时,带电量多的物体先用部分电荷和带电量少的物体中和,剩余的电荷可使两物体带同种电荷。
中和不是意味着等量正负电荷被消灭,实际上电荷总量保持不变,只是等量的正负电荷使物体整体显不出电性。
5、导体和绝缘体:
容易导电的物体叫做导体;不容易导电的物体叫做绝缘体。
常见的导体:金属、石墨、人体、大地、湿润的物体、含杂质的水、酸碱盐的水溶液等。
常见的绝缘体:橡胶、玻璃、塑料、油、陶瓷、纯水、空气等。
导体容易导电的原因:导体中有大量的自由电荷(既可能是正电荷也可能是负电荷),它们可以脱离原子核的束缚,而在导体内部自由移动。
绝缘体不容易导电的原因:在绝缘体中电荷几乎都被束缚在原子范围内,不能自由移动。(绝缘体中有电荷,只是电荷不能自由移动)
金属导体容易导电靠的是自由电子;酸碱盐的水溶液容易导电靠的是正负离子。
导体和绝缘体之间并没有绝对的界限,在一定条件下可相互转化。一定条件下,绝缘体也可变为导体。
绝缘体不能导电但能带电。
第二节电流和电路
1、电流
电流的形成:电荷在导体中定向移动形成电流。
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电流的方向:把正电荷移动的方向规定为电流的方向。电流的方向与负电荷、电子的移动方向相反。
在电源外部,电流的方向是从电源的正极流向负极;在电源内部,电流的方向是从电源的负极流向正极。
2、电路的构成:电源、开关、用电器、导线。
电源:能够提供电能的装置,叫做电源。
干电池、蓄电池供电时,化学能转化为电能;发电机发电时,机械能转化为电能。
持续电流形成的条件:①必须有电源;②电路必须闭合(通路)。(只有两个条件都满足时,才能有持续电流。)
开关:控制电路的通断。
用电器:消耗电能,将电能转化为其他形式能的装置。
导线——传导电流,输送电能。
4、电路的三种状态:
通路——接通的电路叫通路,此时电路中有电流通过,电路是闭合的。
开路(断路)——断开的电路叫断路,此时电路不闭合,电路中无电流。
短路——不经过用电器而直接用导线把电源正、负极连在一起,电路中会有很大的电流,可能把电源烧坏,或使导线的绝缘皮燃烧引起火灾,这是绝对不允许的。用电器两端直接用导线连接起来的情况也属于短路(此时电流将直接通过导线而不会通过用电器,用电器不会工作)。
5、电路图:
http://gz.zhongkao.com/e/20170823/data:image/png;base64,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
第三节串联和并联
1、串联电路:
把电路元件逐个顺次连接起了就组成了串联电路。
特点:①电流只有一条路径;
②各用电器之间互相影响,一个用电器因开路停止工作,其它用电器也不能工作;
③只需一个开关就能控制整个电路。
2、并联电路:
把电路元件并列地连接起来就组成了并联电路。
电流在分支前和合并后所经过的路径叫做干路;分流后到合并前所经过的路径叫做支路。
特点:①电流两条或两条以上的路径,有干路、支路之分;
②各用电器之间互不影响,当某一支路为开路时,其它支路仍可为通路;
③干路开关能控制整个电路,各支路开关控制所在各支路的用电器。
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第四节电流的强弱
1、电流:
电流是表示电流强弱的物理量,用符号I表示。电流的单位为安培,简称安,符号A。比安培小的单位还有毫安(mA)和微安(μA),1A=103mA1mA=103μA1A=106μA
电流等于1s内通过导体横截面的电荷量。
公式:
t=I(Q有用)Q=It
其中I表示电流,单位为安培(A);Q表示电荷,单位为库伦(C);t表示通电的时间,单位为秒(s)。
2、电流表:
测量电流的仪表叫电流表。符号为A,其内阻很小,可看做零,电流表相当于导线。
电流表的示数:
量程使用接线柱*表盘上刻度位置大格代表值小格代表值
0~0.6A“-”和“0.6”下一行0.2A0.02A
0~3A“-”和“3”上一行1A0.1A
在0~3A量程读出的示数是指针指向相同位置时,在0~0.6A量程上读出的示数的5倍。
*部分电流表的三个接线柱分别是“+”、“0.6”和“3”。这时“0.6”和“3”是负接线柱,电流要从“+”流入,再从“0.6”或“3”流出。
正确使用电流表的规则:
①电流表必须和被测的用电器串联。
如果电流表与用电器并联,不但测不出流经此用电器的电流,如果电路中没有别的用电器还会因为电流表直接连到电源的两极上使电流过大而烧坏电流表。
②“+”“-”接线柱的接法要正确,必须使电流从“+”接线柱流进电流表,从“-”接线柱流出来。
否则电流表的指针会反向偏转。
③被测电流不能超过电流表量程。若不能预先估计待测电流的大小时,应选用最大量程进行试触。
若被测电流超过电流表的量程将使指针转出刻度范围把指针打弯或把电流表烧坏。在试触过程中若指针偏转超过最大值则应断开开关检查;如果指针偏转幅度太小(小于0.6A),会影响读数的准确性,应选用小量程档。
④绝对不允许不经过用电器而把电流表直接连到电源的两极上。
否则将烧坏电流表。
使用电表前,如果指针不指零,可调整中央调零螺旋使指针调零。
第五节串、并联电路的电流规律
串联电路中各处的电流相等。
并联电路的干路总电流等于各支路电流之和。
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