# RC circuit with sinusoidal voltage - initial behavior?

by FiFi   Last Updated November 09, 2018 23:25 PM

For a simple RC circuit with a sinusoidal voltage source, the differential equation is: $$\frac{dq}{dt}=\frac{sin(t)}{R}-\frac{q}{RC}$$ When I plot the solution to this differential equation using euler's method, I get this:

I'm confused as to what is happening in the first few cycles. Does this have something to do with transient response? Or are the initial conditions in combination with the sin(t) source forcing it to do that?

Obviously, as t increases, it settles into an equilibrium, but why does it not start out in equilibrium?

Thanks for the help.

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