Solve ∇⋅σ∇ϕ=0 in a cylinder...

I want to solve ∇⋅σ∇ϕ=0 in a cylinder with a specific σ. The following figure shows my geometry. I want to set the voltage on my orange electrode to "sin(2pif1t)" and on my blue electrode to "sin(2pif2t)" whwre f1=2000Hz and f2=2050Hz and compute the spatial electric field and potential distribution in my cylinder in time domain. How can I simulate this problem? Is it possible? I investigated EM FDTD, in this solver I cannot apply constant voltage on my electrodes. In ohmic-quasi-static solver, I cannot apply different freauency to different electrodes and extract voltage in time.
Figure 3.png

perhaps use the superposition principle: perform 2 quasi-static simulations where you set the voltage of one electrode to the desired value/frequency and the voltage of the other one to zero. Then you can combine the results using time-dependent weights to get the fields at a specific time point.

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