Battery knowledge · Electrochemistry fundamentals

Capacitive current

Current that charges or discharges the electric double layer at an electrode without any chemical reaction, proportional to the rate of change of potential. In cyclic voltammetry it grows linearly with scan rate while diffusion-limited faradaic peaks grow with its square root, which is how the two are separated; double-layer capacitors rely on it entirely.

Also called
non-faradaic current, double-layer charging current
Relationship
i_C = C_dl · dE/dt

Example

Predict a scan-rate contribution

For an ideal 20 μF double-layer capacitance and a potential scan of 0.10 V/s, i_C = C_dl dE/dt gives 2 μA. Faradaic current can add to this background.

Explore the graph

Charge rises linearly with voltage; energy rises with voltage squared.

Stored charge
Stored chargeVoltage (V) versus Charge (C). Q = CV. Interpretation follows the graphs.006.251.2512.52.518.83.75255Voltage (V)Charge (C)
Q = CV
Stored energy
Stored energyVoltage (V) versus Energy (J). E = ½CV². Interpretation follows the graphs.0015.61.2531.32.546.93.7562.55Voltage (V)Energy (J)
E = ½CV²

At 5 V: 25 C and 62.5 J.

Q = CV; E = ½CV²

Illustrative model. Ideal constant capacitance; leakage, series resistance and voltage rating excluded.

Use in Lemonergy

Connect reaction sites and transport paths.

This is a reference concept. No executable Lemonergy block has been verified for this term.

References & further reading

Further reading on this topic

These sources provide broader context; they are not presented as citations for every statement in this entry.

  1. Quantities, Units and Symbols in Physical Chemistry, 3rd edition, 2nd printing

    IUPAC · 2011

    Topic background · Physical-chemistry notation, thermodynamics, electrochemistry and transport quantities.