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i_{h i s t}=i\frac{v_{k m}(t-T)+\frac{2 C}{T}\left[-v_{k}(t-T)-v}{R_{e q}}-i_{k m}(t-T)\right]

The C branch is also equivalent to a resistor given by the equation above, in parallel with a historic current source as shown. Here again, for a fixed capacitor, Req is constant. The historic current is recalculated at each time step using voltages and currents from the previous time step.

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