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Intro. to Elect 06
CO1_Intro. to Elect. - Capacitance, Capacitors, & Field/Potential Apps - #6
| Question | Answer |
|---|---|
| Capacitance (Definition) | The ability of a system to store electric charge per unit potential difference. |
| Capacitance Formula | C = Q/V, where Q is charge and V is potential difference. |
| Unit of Capacitance | The farad (F), equal to coulomb per volt. |
| Parallel-Plate Capacitor (Definition) | Two parallel conducting plates separated by a small distance, storing charge. |
| Capacitance of Parallel-Plate Capacitor | C = ε₀A/d for vacuum; A is plate area, d is separation. |
| Effect of Dielectrics | A dielectric increases capacitance by reducing the electric field inside the capacitor. |
| Dielectric Constant (κ) | Ratio of capacitance with dielectric to capacitance without dielectric. |
| Capacitance with Dielectric | C = κ ε₀ A / d. |
| Electric Field in a Capacitor | E = V/d for a uniform field between parallel plates. |
| Energy Stored in a Capacitor | U = ½ C V². |
| Energy Density in Electric Field | u = ½ ε₀ E². |
| Charging a Capacitor | Work must be done to move charge onto the plates against the electric field. |
| Discharging a Capacitor | Stored energy is released as charges move and potential difference decreases. |
| Applications of Capacitors | Used in filters, timing circuits, energy storage, and smoothing voltage. |
| Potential and Field Relationship | Electric field points from high potential to low potential; magnitude is E = -dV/dx. |