π Definition of Capacitance
Capacitance is the ability of a component or circuit to collect and store energy in the form of an electrical charge. Think of it like a tiny rechargeable battery within your circuit. The most common component that exhibits capacitance is a capacitor.
- β‘ Symbol: C
- π Unit: Farad (F)
- β Formula: $C = \frac{Q}{V}$, where Q is the charge and V is the voltage.
- π‘ Function: Stores electrical energy in an electric field.
- π‘οΈ Effect: Opposes changes in voltage.
βοΈ Definition of Inductance
Inductance is the property of an electrical conductor to oppose a change in current flowing through it. It stems from the magnetic field created by the current. The component that primarily exhibits inductance is an inductor, often a coil of wire.
- π§² Symbol: L
- π Unit: Henry (H)
- β Formula: $V = L \frac{dI}{dt}$, where V is the voltage, I is the current, and t is the time.
- π‘ Function: Stores energy in a magnetic field.
- π‘οΈ Effect: Opposes changes in current.
π¬ Capacitance vs. Inductance: A Detailed Comparison
| Feature |
Capacitance |
Inductance |
| Definition |
Ability to store energy in an electric field. |
Ability to store energy in a magnetic field. |
| Basic Component |
Capacitor |
Inductor |
| Opposition |
Opposes changes in voltage. |
Opposes changes in current. |
| Energy Storage |
Electric field between plates. |
Magnetic field around a coil. |
| Frequency Dependence |
Impedance decreases with increasing frequency ($X_C = \frac{1}{2\pi fC}$). |
Impedance increases with increasing frequency ($X_L = 2\pi fL$). |
| DC Behavior |
Acts as an open circuit after being fully charged. |
Acts as a short circuit. |
| Applications |
Filtering, energy storage, smoothing voltage ripples. |
Filtering, energy storage, impedance matching. |
π‘ Key Takeaways
- β‘ Capacitors store energy in an electric field and resist changes in voltage.
- π§² Inductors store energy in a magnetic field and resist changes in current.
- π Frequency affects their impedance in opposite ways: Capacitive impedance decreases with frequency, while inductive impedance increases.
- π‘οΈ Both are crucial for filtering and energy storage in electronic circuits.