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electrical_engineering_and_electronics_2:block03 [2026/04/11 07:30] – ↷ Page name changed from electrical_engineering_and_electronics_2:block02 to electrical_engineering_and_electronics_2:block03 mexleadminelectrical_engineering_and_electronics_2:block03 [2026/04/11 11:42] (current) – mexleadmin
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-=== Description of time-dependent Signals ===+==== Description of time-dependent Signals ====
  
-== Description of Classification of time-dependent Signals ==+=== Description of Classification of time-dependent Signals ===
  
 Voltages and currents in the following chapters will be time-dependent values. Voltages and currents in the following chapters will be time-dependent values.
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 In the following, we will investigate mainly pure AC signals. In the following, we will investigate mainly pure AC signals.
  
-== Descriptive Values of AC Signals ==+=== Descriptive Values of AC Signals ===
  
 <WRAP>  <WRAP> 
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 </callout> </callout>
  
-=== Averaging of AC Signals ===+==== Averaging of AC Signals ====
  
 To analyze AC signals more, often different types of averages are taken into account. The most important values are: To analyze AC signals more, often different types of averages are taken into account. The most important values are:
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   - the RMS value $X$   - the RMS value $X$
  
-== The Arithmetic Mean ==+=== The Arithmetic Mean ===
  
 The arithmetic mean is given by the (equally weighted) averaging of the signed measuring points. \\ The arithmetic mean is given by the (equally weighted) averaging of the signed measuring points. \\
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 For pure AC signals, the arithmetic mean is $\overline{X}=0$, since the unsigned value of the integral between the upper half-wave and $0$ is equal to the unsigned value of the integral between the lower half-wave and $0$.  For pure AC signals, the arithmetic mean is $\overline{X}=0$, since the unsigned value of the integral between the upper half-wave and $0$ is equal to the unsigned value of the integral between the lower half-wave and $0$. 
  
-== The Rectified Value ==+=== The Rectified Value ===
  
 Since the arithmetic mean of pure AC signals with $\overline{X}=0$ does not really give an insight into the signal, different other (weighted) averages can be used. \\ Since the arithmetic mean of pure AC signals with $\overline{X}=0$ does not really give an insight into the signal, different other (weighted) averages can be used. \\
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 </callout> </callout>
  
-== The RMS Value ==+=== The RMS Value ===
  
 Often it is important to be able to compare AC signals to DC signals by having equivalent values. But what does equivalent mean? \\ Often it is important to be able to compare AC signals to DC signals by having equivalent values. But what does equivalent mean? \\
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 </callout> </callout>
  
-== Comparison of the different Averages ==+=== Comparison of the different Averages ===
  
 The following simulation shows the different values for averaging a rectangular, a sinusoidal, and a triangular waveform. \\ The following simulation shows the different values for averaging a rectangular, a sinusoidal, and a triangular waveform. \\
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-=== AC Two-Terminal Networks ===+==== AC Two-Terminal Networks ====
  
 In the chapters [[electrical_engineering_and_electronics_1:simple_circuits|2. Simple Circuits]] and [[electrical_engineering_and_electronics_1:non-ideal_sources_and_two_terminal_networks|3 Non-ideal Sources and Two-terminal Networks]] we already have seen, that it is possible to reduce complex circuitries down to equivalent resistors (and ideal sources). This we will try to adopt for AC components, too. In the chapters [[electrical_engineering_and_electronics_1:simple_circuits|2. Simple Circuits]] and [[electrical_engineering_and_electronics_1:non-ideal_sources_and_two_terminal_networks|3 Non-ideal Sources and Two-terminal Networks]] we already have seen, that it is possible to reduce complex circuitries down to equivalent resistors (and ideal sources). This we will try to adopt for AC components, too.
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 We want to analyze how the relationship between the current through a component and the voltage drop on this component behaves when an AC current is applied. We want to analyze how the relationship between the current through a component and the voltage drop on this component behaves when an AC current is applied.
  
-== Resistance ==+=== Resistance ===
  
 We start with Ohm's law, which states, that the instantaneous voltage $u(t)$ is proportional to the instantaneous current $i(t)$ by the factor $R$.  We start with Ohm's law, which states, that the instantaneous voltage $u(t)$ is proportional to the instantaneous current $i(t)$ by the factor $R$. 
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 This was not too hard and quite obvious. But, what about the other types of passive two-terminal networks - namely the capacitance and inductance?  This was not too hard and quite obvious. But, what about the other types of passive two-terminal networks - namely the capacitance and inductance? 
  
-== Capacitance ==+=== Capacitance ===
  
 For the capacitance we have the basic formula: For the capacitance we have the basic formula:
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 </WRAP> </WRAP>
  
-== Inductance ==+=== Inductance ===
  
 The inductance will here be introduced shortly - the detailed introduction is part of [[electrical_engineering_2:start|electrical engineering 2]]. \\ The inductance will here be introduced shortly - the detailed introduction is part of [[electrical_engineering_2:start|electrical engineering 2]]. \\