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Capacitors ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Types of Capacitors Parallel-Plate Capacitor Cylindrical Capacitor A cylindrical capacitor is a parallel-plate capacitor that has been rolled up with an insulating layer between the plates.
Capacitors and Capacitance Charge  Q  stored: The stored charge  Q  is proportional to the potential difference  V  between the plates. The capacitance  C  is the constant of proportionality, measured in Farads. Farad = Coulomb / Volt A capacitor in a simple electric circuit.
Parallel-Plate Capacitor ,[object Object],[object Object],[object Object],+Q -Q +Q -Q
Energy Storage in Capacitors ,[object Object],[object Object],[object Object],The work required to charge the capacitor from   q=0   to   q=Q : Energy Stored by a Capacitor =  ½CV 2  = ½QV
Example: Electronic Flash for a Camera ,[object Object],[object Object],[object Object]
Dielectrics ,[object Object],[object Object],[object Object],[object Object],ε = κε o  =  permittivity  of the material.
Properties of Dielectric Materials ,[object Object],[object Object],[object Object],[object Object],[object Object],Dielectric Strength (V/m) Dielectric Constant  κ Material 3 x 10 6 1.0006 air 8 x 10 6 300 strontium titanate 150 x 10 6 7 mica 15 x 10 6 3.7 paper
Practice Quiz   ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Discharging a Capacitor ,[object Object],[object Object],[object Object],As water level falls, rate of flow decreases
[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
[object Object],[object Object],[object Object],[object Object]
[object Object]
[object Object]
[object Object],ln V t Gradient = 1/RC ln V 0
[object Object],[object Object],[object Object],[object Object],[object Object]
Incidentally, graphs can be V or Q against t, they all have the same basic shape
The time constant. ,[object Object],[object Object],[object Object],[object Object]
Charging a capacitor ,[object Object],[object Object],[object Object],[object Object]
Charging a capacitor (quantitative). ,[object Object]
Charging a capacitor (cont) ,[object Object]
Charging a capacitor (cont). ,[object Object],[object Object]
 
Energy Considerations. ,[object Object],[object Object],[object Object],[object Object]
Finally… ,[object Object],[object Object],[object Object],[object Object]

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Lesson 2 Capacitors

  • 1.
  • 2. Types of Capacitors Parallel-Plate Capacitor Cylindrical Capacitor A cylindrical capacitor is a parallel-plate capacitor that has been rolled up with an insulating layer between the plates.
  • 3. Capacitors and Capacitance Charge Q stored: The stored charge Q is proportional to the potential difference V between the plates. The capacitance C is the constant of proportionality, measured in Farads. Farad = Coulomb / Volt A capacitor in a simple electric circuit.
  • 4.
  • 5.
  • 6.
  • 7.
  • 8.
  • 9.
  • 10.
  • 11.
  • 12.
  • 13.
  • 14.
  • 15.
  • 16.
  • 17. Incidentally, graphs can be V or Q against t, they all have the same basic shape
  • 18.
  • 19.
  • 20.
  • 21.
  • 22.
  • 23.  
  • 24.
  • 25.