How Does Angular Frequency Affect AC Voltage Across a Resistor?

[tomeatworld]

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

Z_R = 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?

 

[vela]

The current I varies with frequency.

 

[graphene]

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.