notes24 2317 - Prof. David R. Jackson ECE Dept. Spring 2011...

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Unformatted text preview: Prof. David R. Jackson ECE Dept. Spring 2011 Notes 24 ECE 2317 ECE 2317 Applied Electricity and Magnetism Applied Electricity and Magnetism Stored Energy Stored Energy 1 2 E v V U dV = 1 2 E V U D E dV = ( 29 = Please see the textbook for a derivation of these formulas. 1 2 E s S U dS = Charge formula: Electric-field formula: (volume charge density) (surface charge density) These charge-density formulas require Example Example +- r h x V A [m 2 ] Method #1 2 1 2 1 2 E V r E r V U D E dV V E x h V D x h V U dV h = = = = Find the stored energy (Use electric field formula) Example (cont.) Example (cont.) ( 29 [ ] 2 J 1 2 E r V U Ah h = 2 1 2 E r A U V h = or 2 1 2 E U CV = Recall that r A C h = Hence Example (cont.) Example (cont.) Method #2 1 2 1 1 2 2 A B E s S A s B s S S U dS dS dS...
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This note was uploaded on 08/05/2011 for the course ECE 2317 taught by Professor Staff during the Spring '08 term at University of Houston.

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notes24 2317 - Prof. David R. Jackson ECE Dept. Spring 2011...

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