How Does Angular Frequency Affect AC Voltage Across a Resistor?

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SUMMARY

The discussion centers on the relationship between angular frequency and AC voltage across a resistor in a circuit containing inductors and capacitors. The total impedance of the parallel combination of the inductor (L) and capacitor (C) varies with angular frequency (ω), impacting the current (I) and, consequently, the voltage across the resistor (R). The correct approach involves calculating the total impedance and recognizing that the voltage across the resistor is influenced by the frequency-dependent behavior of the L-C combination in series with R.

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  • Understanding of AC circuit analysis
  • Knowledge of complex impedance in RLC circuits
  • Familiarity with angular frequency (ω) and its effects on circuit components
  • Ability to calculate total impedance in series and parallel configurations
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Homework Statement


For the circuit below (attached) plot the amplitude of AC voltage across resistor as a function of the angular frequency of the ac source.


Homework Equations


ZR = R

The Attempt at a Solution


I'm not really sure about any of this. Across the resistor, the complex impredence is just R and so has no dependence on the angular frequency, but just plotting a stright line with amplitude IR can't be worth 5 marks (which is the marks for this question). Can someone explain this to me?
 

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The current I varies with frequency.
 
the L & C impedances vary with frequency.
So, the voltage across the resistor should also vary as it is in series with the L-C combination.

Find out the total impedance of the parallel combination of L & C (which is a function of w).
Now R is in series with this combo-impedance.
 

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