I need help solving this equation containing complex number and phasors

[ParveshD.Singh]

 

[Deleted member 4993]

View attachment 26228

Please show us what you have tried and exactly where you are stuck.

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Please share your work/thoughts about this problem.

 

[nasi112]

[MATH]\frac{10\angle 0^{\circ} }{2000} - \frac{V_o}{2000} + \frac{20\angle -90^{\circ} }{-j1000} - \frac{V_o}{-j1000} = \frac{V_o}{j400}[/MATH]
What next?

 

[Steven G]

Collect all the V₀ on one side of the equation and then divide both sides by the number of V₀'s you have

 

[Deleted member 4993]

[MATH]\frac{10\angle 0^{\circ} }{2000} - \frac{V_o}{2000} + \frac{20\angle -90^{\circ} }{-j1000} - \frac{V_o}{-j1000} = \frac{V_o}{j400}[/MATH]
What next?

I suggest:

[MATH]\frac{10\angle 0^{\circ} }{2000} +j \frac{20\angle -90^{\circ} }{1000} =\frac{V_o}{2000} - j \frac{V_o}{400} +j \frac{V_o}{1000}[/MATH]
Continue.....