Engineering RLC parallel circuit phasors and current

[gl0ck]

Homework Statement

Sorry for the stupid question, but I want to be sure whether everything is correct.
Here is the problem, I think I managed to do all the parts.




2. The attempt at a solution
a)ω=2∏f; ω=4000∏ or 12566.37 rads
b)Xl = ωL = 4000∏x0.004=50.27Ω
c)I1=R x Vac
I2=Xl x Vac
I3=Xc x Vac
d) 3rd Image
e) It is stated that I and Vac are in phase. This can be done only if the two reactances(Xl and Xc ) are equal to each other.
f) C=1.583 x 10^(-6)
g) Here I am not sure that I used the right equation. They ask for the amplitude of the current I. Using the phasor diagram I used I=√((I1)^2+(I3-I2)^2) which gives 0.007, which is I1.

 

[rude man]

1. g) Here I am not sure that I used the right equation. They ask for the amplitude of the current I. Using the phasor diagram I used I=√((I1)^2+(I3-I2)^2) which gives 0.007, which is I1.

Since X_L = X_C what does that say about the impedance of L and C in parallel?