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Intro. to Elect 06

CO1_Intro. to Elect. - Capacitance, Capacitors, & Field/Potential Apps - #6

QuestionAnswer
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.
Created by: francisslavin001
 

 



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