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| learn:courses:real-analog-chapter-1:start [2017/05/30 10:03] – [Real Analog: Chapter 1] Martha | learn:courses:real-analog-chapter-1:start [2023/02/09 07:12] (current) – external edit 127.0.0.1 | ||
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| ====== Real Analog: Chapter 1 ====== | ====== Real Analog: Chapter 1 ====== | ||
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| - | ====== 1. Introduction and Chapter Objectives | + | ===== 1. Introduction and Chapter Objectives ===== |
| In this chapter, we introduce all fundamental concepts associated with circuit analysis. Electrical circuits are constructed in order to direct the flow of electrons to perform a specific task. In other words, in circuit analysis and design, we are concerned with transferring electrical energy in order to accomplish a desired objective. For example, we may wish to use electrical energy to pump water into a reservoir; we can adjust the amount of electrical energy applied to the pump to vary the rate at which water is added to the reservoir. The electrical circuit, then, might be designed to provide the necessary electrical energy to the pump to create the desired water flow rate. | In this chapter, we introduce all fundamental concepts associated with circuit analysis. Electrical circuits are constructed in order to direct the flow of electrons to perform a specific task. In other words, in circuit analysis and design, we are concerned with transferring electrical energy in order to accomplish a desired objective. For example, we may wish to use electrical energy to pump water into a reservoir; we can adjust the amount of electrical energy applied to the pump to vary the rate at which water is added to the reservoir. The electrical circuit, then, might be designed to provide the necessary electrical energy to the pump to create the desired water flow rate. | ||
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| Mathematically, | Mathematically, | ||
| - | $$ i=\frac{dq}{dw}\ (Eq. 1.2) $$ | + | $$ i=\frac{dq}{dt}\ (Eq. 1.2) $$ |
| Where //i// is the current in amperes, //q// is the charge in coulombs, and //t// is the time in seconds. Thus, current is the time rate of change of charge and units of charge are coulombs per second, or //amperes// (abbreviated as // | Where //i// is the current in amperes, //q// is the charge in coulombs, and //t// is the time in seconds. Thus, current is the time rate of change of charge and units of charge are coulombs per second, or //amperes// (abbreviated as // | ||