Chapter 28159P28.75The total resistance between points band cis:R=+=200300120...k kkkΩΩΩaf.The total capacitance between points dand eis:C=+=500...F Fµµµ.The potential difference between point dand ein this series RCcircuit at any time is:∆VeetRCt=−=−−−ε1120011000 6. V.Therefore, the charge on each capacitor between points dand eis:+-abcdefS120 V2.00 kΩ3.00 kΩC1= 2.00 µFC2= 3.00 µFFIG. P28.75qCVeett120012401==−=−∆VCµµbgand ee2213601−=−∆VC.*P28.76(a)Let irepresent the current in the battery and icthe current charging the capacitor. Then iic−isthe current in the voltmeter. The loop rule applied to the inner loop is +− − =iRqC0. The looprule for the outer perimeter is −−− =iRi i rc0. With idqdtc=, this becomes −−+ =iR irdqdtr0.Between the two loop equations we eliminate iRqRCby substitution to obtainεε−+−FHGIKJ+=−+++−++++=RrRqRCdqdtrRRCqdqdtrrqCRrdqdt000This is the differential equation required.(b)To solve we follow the same steps as on page 875.dqdtRRrCqRrC
This is the end of the preview. Sign up
access the rest of the document.
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 .