Quadratic Equation Solver (ax² + bx + c = 0)
About Capacitor Calculator
The Comprehensive Capacitor ($C = Q/V$) & RC Time Constant Calculator computes capacitance from physical geometry ($C = \varepsilon_r \varepsilon_0 \frac{A}{d}$), Series/Parallel equivalent capacitance, stored electrostatic energy ($E = \frac{1}{2}CV^2$), RC charging/discharging time constants ($\tau = RC$), and capacitive reactance ($X_c = \frac{1}{2\pi f C}$).
How to Use Capacitor Calculator
Step 1
Select Calculator Mode (RC Circuit, Energy/Charge, Series/Parallel, or Plate Geometry).
Step 2
Enter known parameters (Capacitance in µF/nF/pF, Resistance in Ohms, Voltage in Volts).
Step 3
Review computed time constant $\tau$, stored energy in Joules, and reactance.
Step 4
Click "Copy Capacitor Specs".
Practical Use Cases for Capacitor Calculator
Microcontroller Reset Circuit RC Delay Sizing
Calculate resistor-capacitor values ($R, C$) to create precise power-on reset pulse delays ($t = 5\tau = 5RC$) for MCUs.
Switching Power Supply Filter Ripple & ESR Sizing
Size bulk electrolytic and ceramic decoupling capacitors for DC power supply smoothing and high-frequency noise filtering.
Input & Output Examples
Calculating RC Filter (R = 10kΩ, C = 100µF, V = 12V)
Resistor ($R$): `10 kΩ`, Capacitor ($C$): `100 µF`, Source ($V$): `12.0 V`
Time Constant (τ): `1.0 second` | Full Charge Time (5τ): `5.0 seconds` | Stored Energy ($E$): `7.20 mJ` | Stored Charge ($Q$): `1.20 mC`
Key Features & Performance
- ✓Modes: Parallel Plate Capacitance ($C = \varepsilon A/d$), Stored Energy & Charge ($0.5CV^2, Q=CV$), Series & Parallel Equivalent Networks.
- ✓RC Time Constant Simulator: computes charging voltage curve ($V(t) = V_0(1 - e^{-t/RC})$) and discharge curve ($V(t) = V_0 e^{-t/RC}$).
- ✓AC Capacitive Reactance ($X_c = 1/(2\pi f C)$) across audio and radio frequencies.
- ✓100% Client-Side electrical engine.
- ✓1-Click Copy capacitor specifications.
Key Terminology & Definitions
Capacitance ($C$)
The ability of a system to store an electric charge per unit potential difference, measured in Farads ($1\text{ F} = 1\text{ Coulomb/Volt}$).
RC Time Constant ($\tau = RC$)
The time required to charge a capacitor through a resistor to approximately 63.2% of its maximum supply voltage.