AC Circuit with possibly nodal analysis

[irivce]

Homework Statement

Homework Equations

impedance equations for capacitors and inductors

The Attempt at a Solution

I thought something like that might do and then just do a matrix and solve for Va, but I am having second thoughts seems like I am over doing it.

 

[ehild]

Your handwriting is hardly readable. Why don't you type in your work?

Check your writing if it is at least dimensionally correct.

Zc is wrong.

Voltage divided by impedance can not be voltage, so your equation for Va and Vb are wrong.
Check what impedances are parallel / series.

If you use complex impedance, use also the complex form of the voltage.

ehild

 

[irivce]

Because that would take me the whole night.

Sorry both equations are suppose to equal to zero, kirchhoffs current law, right ?

For Zc, would it be -200i ?

and the voltage as 300 @ 0 degrees ?

 

[irivce]

this is what I was basing myself on if its any help.

 

[ehild]

Because that would take me the whole night.

Sorry both equations are suppose to equal to zero, kirchhoffs current law, right ?

For Zc, would it be -200i ?

and the voltage as 300 @ 0 degrees ?

I see you consider your time more dear than the time of your helpers.

Yes, Zc=-200i.

Yes, the sum at a node is zero.

Yes, the generator voltage is 300 V @ 0 degrees.

ehild

 

[irivce]

Alright thank you, sorry for the crappy handwriting ill type it out next time