For constant current and nearly constant capacitance,An ideal supercapacitor therefore has approximately linear charge and discharge ramps, making a triangular voltage–time trace. Series resistance adds an immediate voltage step when current starts and a step of magnitude when it reverses directly from to . Leakage and voltage-dependent capacitance introduce curvature.
A secondary battery instead follows electrode chemical potentials as its state of charge changes; many chemistries have broad plateaus or sloping plateaus, with polarization separating the charge and discharge curves. This distinction is typical rather than universal: some batteries have steeply sloping profiles, while strongly potential-dependent pseudocapacitive materials can depart substantially from a triangle.
Idealized supercapacitor and battery responses, with capacitance–potential alternatives
. Original schematic curves; the lower panels distinguish a constant differential capacitance, a double-layer minimum and a localized redox contribution. They are alternative models, not a universal measured curve. Details. Articles by others on the same topic
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