- #1
careless25
- 7
- 0
Hi,
I am preparing for my circuits final and I am having trouble with this question. Can someone guide me through it?
I am trying to solve this using phasors.
I know I will have to use superposition since the circuit contains sources with different frequencies.
So first I start of with converting the Voltage source to a cosine function and then into phasor notation. So I get V = 5∠-90 where ω = 10000 rad/s.
Then 1mH inductor = 10j Ω, 20μF capacitor = -5j Ω and I open circuit the current source.
If I do nodal analysis now, I get 2 equations but don't know how to solve them.
eq1: V1 - V2 = Vx
eq2 at node V2: V2/-5j + (V2-V1)/5 + (V2 - (2Vx+V1))/10j
and of course V1 = 5∠-90.
Now I tried to solve for Vx and I got 0...Which doesn't make sense since that would create a short circuit. Help?!?
Thanks
C25
I am preparing for my circuits final and I am having trouble with this question. Can someone guide me through it?
I am trying to solve this using phasors.
I know I will have to use superposition since the circuit contains sources with different frequencies.
So first I start of with converting the Voltage source to a cosine function and then into phasor notation. So I get V = 5∠-90 where ω = 10000 rad/s.
Then 1mH inductor = 10j Ω, 20μF capacitor = -5j Ω and I open circuit the current source.
If I do nodal analysis now, I get 2 equations but don't know how to solve them.
eq1: V1 - V2 = Vx
eq2 at node V2: V2/-5j + (V2-V1)/5 + (V2 - (2Vx+V1))/10j
and of course V1 = 5∠-90.
Now I tried to solve for Vx and I got 0...Which doesn't make sense since that would create a short circuit. Help?!?
Thanks
C25