Capacitors & RC Circuits
Natural Sciences · Intermediate · Lesson 2 of 7

Letting Go

Exponential discharge

An interactive lesson with 6 steps, about 5 minutes: you predict, drag and solve, with instant feedback on every answer. It runs in your browser and needs JavaScript.

What you’ll learn

  • A discharging capacitor follows V=V0e−t/RCV = V_0 e^{-t/RC}.
  • It halves every τln⁡2≈0.69 τ\tau \ln 2 \approx 0.69\,\tau.
  • DRAM must refresh its leaky capacitors constantly.

Steps

  1. Exponential decay
  2. Half-life
  3. Measure the time constant
  4. Energy left
  5. The first rush
  6. Leaky memory