- #1
sun18
- 16
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Homework Statement
I'm supposed to find the current in a circuit with a voltage source, capacitor, and resistor in series. The voltage source is described by V=V0ejwt.
Here, j is the complex number j2=-1, and i is the current
Homework Equations
I=C*dv/dt
The Attempt at a Solution
I have several sources of confusion with this question. First, in the equation I=C*dv/dt, does that v refer to the voltage source, or specifically the voltage drop across the capacitor? Can I use Kirchoff's voltage law with this type of circuit? I tried this and got:
V0ejwt - iR - q/c = 0
Then taking the time derivative of the equation:
V0jwejwt - R*di/dt - i/c = 0
I then have no idea how to solve this differential equation. Even rewriting with euler's identity:
V0jw[cos(wt)+jsin(wt)]=R*di/dt+i/c
Any help would be greatly appreciated.