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# Lec-6 - Previous Lecture V and E are related r V(r = E = V...

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Previous Lecture V and E are related: V ( r ) = r P E · d l E = −∇ V Capacitors in series and parallel: C eff = C 1 + C 2 parallel 1 C eff = 1 C 1 + 1 C 2 series – p.

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Today Energy density in electric field Dielectrics Discuss current (chapter 25) September 14, 2011 – p.
Energy It takes work to build up a charge on a capacitor. – p.

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Energy It takes work to build up a charge on a capacitor. Where is the potential energy stored? – p.
Energy It takes work to build up a charge on a capacitor. Where is the potential energy stored? The energy is stored in the electric field. – p.

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Energy Density u in Field u = energy per unit volume = 1 2 0 E 2 Very general result! – p.
Energy Density u in Field dV U = u dV, where u = 1 2 0 E 2 – p.

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Visualization of Fields A charged particle approaches a charged sphere. – p.5
Dielectrics 1 Experimental fact: If we place an insulator (glass, paper, etc.) between capacitor plates, the value of C increases. Q = KC 0 V = CV – p.

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Dielectrics 1 Experimental fact: If we place an insulator (glass, paper, etc.) between capacitor plates, the value of C increases.
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