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Home/Electricity & Magnetism/Battery Thevenin (SOC)

Battery Thevenin (SOC)

This interactive simulator explores Battery Thevenin (SOC) in Electricity & Magnetism. V_oc(SOC), R_int(SOC), Coulomb-counted SOC vs charge/discharge current; terminal voltage trace. Use the controls to change the scenario; watch the visualization and any graphs or readouts to connect the model with lectures, labs, and homework.

Who it's for: Best once you already know the basic definitions and want to build intuition. Typical context: Electricity & Magnetism.

Key terms

  • battery
  • thevenin
  • soc
  • battery thevenin model
  • electricity
  • magnetism

Live graphs

12 V pack (example)

50 Ah
15 A

Positive I discharges the pack; negative I charges it.

Measured values

SOC65.00%
V_oc(SOC)12.345V
R_int(SOC)23.55mΩ
V_terminal12.100V

How it works

First-order Thevenin equivalent with open-circuit voltage and internal resistance both depending on state-of-charge. Coulomb counting updates SOC from the applied current.

Key equations

V = Vₒ꜀(SOC) − I·R(SOC)

dSOC/dt = −I / (Ah·3600 s)