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

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

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

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

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Energy Density u in Field dV U = Z udV, where u = 1 2 ± 0 E 2 – p.
Visualization of Fields A charged particle approaches a charged sphere. –p

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Dielectrics Experimental fact: If we place an insulator (glass, paper, etc.) between capacitor plates, the value of C increases. Q = KC 0 V = CV – p.
Experimental fact: If we place an insulator (glass, paper, etc.) between capacitor plates, the value of C increases. Q

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## This note was uploaded on 02/29/2008 for the course PHYSICS 21 taught by Professor Hickman during the Spring '08 term at Lehigh University .

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

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