Calculating Voltage Across Capacitor Using Node Method and Phasors

[magnifik]

i am trying to find v_a in the circuit below

i am using the node method via phasors and am wondering is v_a = (v₁ - v₂)/Z_c??

where v₁ is the node voltage between the 1/2 F capacitors on the left and v₂ is the node voltage between the 1/2 F capacitors on the right

or is it just equal to v₁ - v₂?

thanx

 

[jegues]

i am trying to find v_a in the circuit below (it is kind of blurry, but v_a is the voltage between the terminals in the middle 1/2 F capacitor)

i am using the node method via phasors and am wondering is v_a = (v₁ - v₂)/Z_c??

where v₁ is the node voltage between the 1/2 F capacitors on the left and v₂ is the node voltage between the 1/2 F capacitors on the right

or is it just equal to v₁ - v₂?

thanx

You are guessing.

Make a full attempt, otherwise you won't learn anything.

Label each of the two nodes above the inductors (say, node L and node R) and preform the nodal analysis. (i.e. KCL combined with Ohm's law)

Also, write an equation describing Va in terms of these node voltages.

Show us your equations/work.

 

[Cyborg101]

Note that the units for (v1 - v2)/Zc are amperes... this should answer your question.