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A 5 H inductor is subjected to an electric current that changes at a rate of 4.5 amps per second. How much voltage will be dropped by the inductor?
这inductor将掉22.5伏。
Don’t give your students the equation with which to perform this calculation! Let them find it on their own. The [di/dt] notation may be foreign to students lacking a strong mathematical background, but don’t let this be an obstacle to learning! Rather, use this as a way to introduce those students to the concept of变化率,以及计算的概念衍生物。
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假设电感器连接到可变电流源,该电流源以每秒1.5安培的速率稳定增加。4个亨利电感器会下降多少电压,该滴的极性是多少?请记住,箭头在当前源符号中的方向指向常规流程, not electron flow!
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In real life, an inductor will not drop the exact same amount of voltage that you will calculate here. Determine if the real voltage drop across such an inductor would be greater or less than predicted, and explain why.
啊,争议常规电子流。存在两个与表示电流方向相矛盾的惯例的存在会激怒我,尤其是当几乎所有电子设备象征意义所基于的一项章程实际上是对通过金属导体的电荷流动的不正确的(电路中的大多数情况,)您的学生一定会在职业生涯中遇到“常规”和“电子”流程,因此请务必向他们介绍两个都会议。
Discuss with your students the consequences of winding resistance in real inductors. Is it significant? Work together with your students to calculate how much extra voltage would be dropped across the inductor, based on their research on the typical winding resistance of a 4 henry inductor (ask them where they obtained the information!), given a [di/dt] rate of 1.5 amps per second.
Ask your students if they think it might be possible to create an inductor with no “stray” resistance at all to interfere with perfect, theoretical inductor behavior. What would be required to make the “perfect” inductor?
串联连接的两个5 h电感器受到每秒4.5安培速率变化的电流。整个系列组合中将降低多少电压?
现在假设并行连接的两个5小时电感器受到相同的总应用电流(以每秒4.5安培的速率变化)。这些电感器将降低多少电压?提示:总电流平均分配在两个电感器之间。
系列连接:总计45伏。并行连接:总计11.25伏。
后续问题:这些数字指的是什么串联连接和平行连接的电感器?In other words, what single inductor value is equivalent to two series-connected 5 H inductors, and what single inductor value is equivalent to two parallel-connected 5 H inductors?
If your students are having difficulty answering the follow-up question in the Answer, ask them to compare these voltage figures (45 V and 11.25 V) against the voltage that would be dropped by just one of the 5 H inductors under the same condition (an applied current changing at a rate of 4.5 amps per second).
当然,重要的是,学生必须知道串联连接和平行连接的电感器的表现。但是,这通常是对学生的死记硬背的过程,而不是真正的理解。有了这个问题,目标是让学生根据对系列,平行电压和电流的理解来实现电感器连接。
Suppose two 50 mH inductors are connected in parallel with each other. What will their combined inductance be, in Henrys? Explain your answer.
25 MH
向您的学生询问这个问题:给定电容器和电感器,这些组件类型中的哪种类型更像是电阻器,其序列与平行等效值有关?
计算这两条电线之间的电感器集合中的总电感率:
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另外,编写一个计算总电感的公式1,l2, 和我3。
L全部的= 783.26 MH
注意:以下公式不是描述该电路中总电感的唯一公式!
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It is most helpful to first draw a schematic diagram for this inductor network before trying to perform any inductance calculations, in order that a clear understanding of the series/parallel connections be established.
电感器必须多大x为了在此电感器网络中提供2.5 h的总电感?
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Suppose a short-circuit were to develop in this electric power system:
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当然,断路器的目的是自动打开电路,以防止损坏电力导体。在大型电力系统中,这种短路电流的幅度可能是巨大的。
大型电感器,通常称为反应堆,通常在高压电源系统中与电源导体一起安装,以“软化”短路电流的发作:
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解释“反应器”的添加如何有助于最大程度地减少断路器中断的短路电流的幅度。
在发生短路断层的那一刻,电流的突然增加构成了非常大的[di/dt]值,电感器通过降低电压而暂时“反对”。
后续问题:为什么使用电感器限制短路故障电流?为什么不使用电阻呢?
力量system reactors are usually installed in substations, where they appear as coils of wire (no iron core) a few feet in diameter, usually located near circuit breakers.
小电感器通常看起来像电阻器,甚至在其值被彩色带指定的程度上。根据其颜色代码确定以下电感器的值(将其表示为百分比):
当检查智慧h anohmmeter,正确运行的电感器应如何响应?
A “healthy” inductor should register as a very low resistance between its terminals. If the inductor has an iron core, there should be infinite resistance (no continuity) between either winding terminal and the core.
后续问题:您认为最有可能打开或缩短的电感器的“模式”是什么?解释你的答案。
Have your students actually test a few inductors with their ohmmeters in class. Unlike capacitor checking with an ohmmeter, there is never a substantial “charging” period! If your students have already learned about capacitor checking with an ohmmeter, ask them to explain why there is no “charging” action indicated by the ohmmeter when connected to an inductor.
如果通过欧姆表测量电感器显示出可观察到的“充电时间”时间,就欧姆表的指示而言,它会看起来像什么?
Normally, I don’t give away answers to follow-up questions in the “Notes” section, but here I feel it may be necessary. Studies have shown that inductors have about an equal chance of failing open as they do failing shorted. Of course, this will vary with the specific design and application of the inductor, but there is no mode of failure clearly more probable than the other.
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当电感器的核心变成电感器的电感器会发生什么饱和?电感值是否增加,降低或保持不变?解释你的答案。
随着电感器的核心被磁通量饱和,对于电流的给定变化((dφ)/di]的给定变化,通量的变化将较小。
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这导致电感减少。
要求您的学生确定哪种状况可能导致饱和状况。而且,即使避免了B -H曲线的极端,B -H图的非线性形状也表明了电感器的线性?电感公式(E = L [di/dt])假定完美线性,但是对于核心表现出这种磁通量/力关系的电感器而言,这真的是正确的吗?
Find one or two real inductors and bring them with you to class for discussion. Identify as much information as you can about your inductors prior to discussion:
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