| Electrical Property | Capacitance, C | The ability to store electric charge for a given voltage. Capacitance is defined as C = Q / V. | 1 farad = 1 coulomb per volt | Determines how much charge is stored at a particular voltage. |
| Stored Charge | Charge on a capacitor | The stored charge is calculated with Q = C × V. | 100 μF at 12 V stores 1.2 mC | Useful for estimating the charge available during a short transient or load change. |
| Stored Energy | Energy in the electric field | The stored energy is E = ½CV². Energy increases with the square of voltage. | 100 μF at 12 V stores 7.2 mJ | Important for filtering, pulsed loads, timing circuits, and safety calculations. |
| DC Steady State | Capacitor connected to a constant DC source | After the capacitor is fully charged, the ideal capacitor behaves like an open circuit and its steady-state current is approximately zero. | At steady state: I = 0 A | Blocks continuous DC while maintaining a voltage across its terminals. |
| DC Transient | Charging current | For a series resistor and capacitor, charging current follows i(t) = (V/R)e−t/RC. | Initial current for 10 V and 1 kΩ: 10 mA | Current is highest at the instant of connection and decreases exponentially. |
| Time Response | RC time constant, τ | The time constant is τ = R × C. After one time constant, the capacitor reaches about 63.2% of its final voltage while charging. | 10 kΩ × 100 μF = 1 s | Sets the timing and response speed of RC delay, filter, and pulse-shaping circuits. |
| DC Charging Level | Capacitor voltage during charging | For an initially uncharged capacitor, VC(t) = VS(1 − e−t/RC). | Approximately 63.2% at 1τ; 95.0% at 3τ; 99.3% at 5τ | Provides a practical estimate of how long a capacitor needs to charge. |
| AC Impedance | Capacitive reactance, XC | The opposition to AC is XC = 1/(2πfC). It decreases as frequency or capacitance increases. | 10 μF at 50 Hz: approximately 318 Ω | Explains why capacitors pass higher-frequency signals more easily. |
| AC Phase | Current-voltage phase relationship | In an ideal capacitor, current leads voltage by 90 degrees. The current is described by i(t) = C × dv(t)/dt. | Phase angle: +90° for current relative to voltage | Important in AC analysis, reactive power, coupling, and compensation circuits. |
| Frequency Response | High-pass coupling behavior | A series capacitor with a resistor forms a high-pass network. Its cutoff frequency is fC = 1/(2πRC). | R = 10 kΩ and C = 100 nF: approximately 159 Hz | Blocks slow or constant changes while allowing faster signal variations to pass. |
| Frequency Response | Low-pass filtering behavior | A capacitor placed across a load with a series resistance forms a low-pass network with the same ideal cutoff relation, fC = 1/(2πRC). | R = 1 kΩ and C = 1 μF: approximately 159 Hz | Reduces high-frequency noise and smooths changing DC voltages. |
| Power Supply Filtering | Ripple-voltage reduction | For a capacitor-input rectifier, an approximate ripple relation is ΔV ≈ I/(frippleC). | 0.1 A, 100 Hz, 1,000 μF: approximately 1 V ripple | Larger capacitance or higher ripple frequency generally reduces voltage ripple. |
| Real-World Limitation | Equivalent series resistance, ESR | Real capacitors include a small series resistance that causes power loss and voltage drop. Approximate loss is P ≈ IRMS² × ESR. | 1 A RMS through 0.1 Ω ESR: 0.1 W | Influences heating, efficiency, ripple performance, and high-frequency behavior. |
| Real-World Limitation | Leakage current | A practical capacitor allows a small DC current to flow through its dielectric. Leakage depends on capacitance, voltage, temperature, and construction. | Specified in nA, μA, or a maximum resistance | Matters in long-duration timers, sample-and-hold circuits, and low-power systems. |
| Safety and Reliability | Rated voltage and polarity | The applied voltage should remain below the capacitor's rated voltage. Polarized capacitors must be connected with the correct polarity. | A 16 V rated capacitor should not be used continuously at 16 V without design margin | Exceeding voltage ratings can cause excessive leakage, dielectric breakdown, damage, or rupture. |
| Circuit Function | Common applications | Capacitors are used for decoupling, smoothing, AC coupling, timing, filtering, energy storage, resonance, and transient suppression. | Typical values range from pF to F depending on application | One component can control voltage stability, signal bandwidth, timing, or stored energy. |