lab_electrical_engineering:4_ac_voltage [MEXLE Wiki]

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<callout type="info" title="Lab Documents">
Download the {{lab_electrical_engineering:lab_electrical_engineering_4_ac_voltage_mexle_wiki_.pdf| Lab documents here!}}
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====== Experiment 4: Alternating Voltage ======

===== Objectives of the Experiment =====

<WRAP group><WRAP column half>
Getting to know 
  * sinusoidal quantities, active (real), reactive, and apparent resistance/impedance, phasor diagrams
  * behavior of an RC and RL series circuit with different passive components at constant frequency
  * low-pass filter (behavior of an RC circuit at different frequencies)
  * RLC series resonant circuit: voltage across the resistor and impedances at different frequencies
</WRAP><WRAP column half>
Applying
  * voltage analysis in the time domain using a simulation program
</WRAP></WRAP>

===== Alternating Current Circuits: Capacitors and Inductors =====

{{page>lab_electrical_engineering:4_ac_voltage:Sine_wave_parameters&nofooter&noindent}}
{{page>lab_electrical_engineering:4_ac_voltage:Series connection of resistors and capacitors&nofooter&noindent}}
{{page>lab_electrical_engineering:4_ac_voltage:Series connection of resistors and inductors&nofooter&noindent}}
{{page>lab_electrical_engineering:4_ac_voltage:R–C-Circuit_Low-Pass Filter&nofooter&noindent}}
{{page>lab_electrical_engineering:4_ac_voltage:R–L–C-Series_Resonant-Circuit&nofooter&noindent}}



===== Preparation for the Oral Short Quiz =====

<WRAP right>
<imgcaption image1|Simplified representation of an antenna>
{{elektrotechnik_labor:440px-dipole_receiving_antenna_animation_6_800x394x150ms.gif}}
</imgcaption>
</WRAP>

For this experiment you should 
  - be able to apply and explain the following concepts:
    - phasor representation 
      - of harmonic signals
      - of impedance quantities
    - complex impedance operators (e.g. $j \cdot X_L$)
    - cutoff frequency
    - series resonant circuit
      - different voltages $U_R$, $U_C$, $U_L$ for $f\rightarrow 0$ and $f\rightarrow \infty$
      - graphical and computational determination of the complex impedance $\underline{Z}$ of the circuit
      - behavior of $\underline{Z}$ at different frequencies
      - definition, behavior, and calculation of the resonance frequency
    - relationship between resonant circuit and antenna (see <imgref image1>)
  - consider the circuit when, instead of the voltage across the resistor $U_R$, the output voltage across the capacitor $U_C$ is measured. 
    - What is this circuit called? 
    - What is it used for? 
    - What output voltage results for $f\rightarrow 0$ and $f\rightarrow \infty$?