What will the phasor diagram of this LCR circuit looks like?

[Cedric Chia]

Homework Statement

What will the phasor diagram of this LCR circuit looks like?

Relevant Equations

V=IZ

I know the current of capacitor and inductor must be parallel but pointing in opposite direction due to the fact they are connected in parallel thus having same voltage (please see attached screenshots). The current of resistor will simply be the sum of these two vectors, but what about its direction? Should it be pointing the same direction as the current of capacitor or inductor?

 

[BvU]

Hello CC,

Are you aware of the fact that Z is a complex number and that it is frequency dependent ?
Your statement

I know the current of capacitor and inductor must be parallel but pointing in opposite direction due to the fact they are connected in parallel thus having same voltage

does not make much sense to me, nor does

The current of resistor will simply be the sum of these two vectors

since I always learned that current is a scalar -- but perhaps you mean something else ?