Parallel RC with current source

I have the following circuit and I need to get the mean value of output voltage.

simulate this circuit – Schematic created using CircuitLab

This is a parallel RC circuit, powered by a current source which as you can see has the following waveform.

I was thinking that to get the output voltage first, the input current should be represented by a series of Fourier, since it is a periodic signal.

Once this was done, it could obtain the relation between the output voltage and the input current, by means of a current divider and multiplying by the output resistance.

I'm not very related to the use of Fourier series for circuit analysis and I think that would even imply the use of phasors to get temporary expression of output voltage. So I think in this way it would be very difficult. Am I wrong or is there any other way to do it?

• Over time there will be an average voltage over the capacitor, right? Commented Mar 12, 2018 at 4:46

• I think you don't need to solve any differential equation. The average current through a capacitor is zero, therefore the average current out of the current source is the same as the average current through the resistor. Multiply by $R_1$ to get the average voltage. Commented Nov 18, 2018 at 15:32