AC circuit analysis involving resistors and inductors

[Franklie001]

Summary:: Hi anyone can explain me how to solve this circuit, finding the current I2 and I1?
Really don't know where to start Thanks

 

[Baluncore]

Is this school work?
Make it easier to recognise the circuit by first migrating C1 to be next to R1. Then C2 to be next to L2. Make the base line ground.

Convert L and C to reactance. Then write the three impedances composed of series R, L & C as complex numbers, Z = R + Xj .

Transform Y to delta. https://en.wikipedia.org/wiki/Y-Δ_transform
Now there are no floating nodes.
You have voltage and phase, convert them to complex.
Work out the currents from there.

 

[Franklie001]

Hi thanks for your help, yes it's a coursework from uni
How do i convert the L and C to reactance by the way?

Should i have to convert also the voltages as complex number too?

Thank you

 

[Baluncore]

How do i convert the L and C to reactance by the way?

X_L = ω⋅L
X_C = -1 / ω⋅C
ω=2⋅π⋅f