Chapter 28153P28.64The battery supplies energy at a changing ratedEdtIReRC===FHGIKJ−Pεεε1.Then the total energy put out by the battery isdERtRCdttzz=−FHGIKJ=∞20expdERRCtRCdtRCCtRCCC−FHGIKJ−FHGIKJ−FHGIKJ−=∞∞20202201afexpexp.The power delivered to the resistor isdEdtVI IR RRtRCR=== =−FHGIKJ∆2222exp.So the total internal energy appearing in the resistor isdERtRCdtFHGIKJ∞202expdERRCtRCdtRCCtRCFHGIKJ−FHGIKJ−FHGIKJ−FHGIKJ− =∞∞202022222expexp.The energy finally stored in the capacitor is UCVC121222∆. Thus, energy of the circuit isconserved εεε2221212CCC=+and resistor and capacitor share equally in the energy from thebattery.P28.65(a)qCV etRC−∆1ejqe=×−LNMOQP=−−××−100 101001993610 02 00 101.00 1066...F VCafejµ(b)I
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This note was uploaded on 12/14/2011 for the course PHY 203 taught by Professor Staff during the Fall '11 term at Indiana State University .