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How to solve this circuit using mesh and nodal analysis with the use of complex numbers?

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Not really a game related question, but...

[color="#333333"]I'm sorry for the poor quality, but my phone's USB cable has mysteriously disappeared and i had to do this on mspaint.

[color="#333333"][font="arial, helvetica, clean, sans-serif"]
14smlpe.png
Anyway, using impedence.[/font]
[color="#333333"][font="arial, helvetica, clean, sans-serif"]
i1=20 cos 1000t (mA).[/font]
[color="#333333"][font="arial, helvetica, clean, sans-serif"]
i2=50sin 1000t (mA).

[/font][color="#333333"][font="arial, helvetica, clean, sans-serif"]L = 0.04 H.

[/font][color="#333333"][font="arial, helvetica, clean, sans-serif"]C= 50*10^-6 (micro) Farad.

[/font][color="#333333"][font="arial, helvetica, clean, sans-serif"]and R = 25 ohm.

I have to find v1 using mesh and nodal analysis

[/font][color="#333333"][font="arial, helvetica, clean, sans-serif"]v1 = 1.062cos(1000t+22.34) v (this was found using thevenin), i cant seem to get it using mesh/nodal.[/font]

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I assume you are familiar with the 'no answering of homework questions' policy?

If you have a theoretical question about an aspect of the problem, that is permissible. And at the very least, you'll want to show your progress on solving the problem via nodal analysis, along with where in the process you are stuck.

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