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## Homework Statement

Ok so before I begin I've done my share of research and have had no luck as people seem to be moving to calculators for answers these days. I know my rectangular and polar conversions in AC but I haven’t done too much work with complex numbers.

I basically have two questions, one is solving Vo after applying nodal analysis on a AC circuit, and the other is working out the total impedance in a circuit.

## The Attempt at a Solution

Nodal analysis equation:

(Vo-0)/-j25 + (Vo-0)/j20 + (Vo-20angle(-15))/60 = 0

Some advice on how to go about solving Vo would be great like I normally find a common factor and cancel the denominators in DC and move Vo to one side and the numbers to the other. But unfortunately for this I have no idea on how to simplify.

Total impedance:

(200+j80)//(-j100) then in series with a (8-j200)

Once again I’m not quite sure on how to apply the same concept of DC to this new situation.

Any help will be greatly appreciated.