Question

A 0.25 uF capacitor is charged to 70 V. It is then connected in series with a 2512 resistor and a 120 12 resistor and allowed to discharge completely. Part A How much energy is dissipated by the 2522 resistor? Express your answer with the appropriate units. I Å O ? 62.5 u Submit Previous Answers Request Answer X Incorrect; Try Again; 5 attempts remaining

Answer 1

Given capacitance C= 0-25 UF = 0.25x10 V = 7ovelt R = 252 R₂ =1202 Initial charge Go=cv = 0.25X108x70 = 17.50 xlobe Go = 17.5 UC 7 Now Discharging of Capactor Since R, and R₂ are in Series, So, equivalent Resistance of R-C Circuit R=R,+ R2 = 25+120 R = 1452 <= a We know that, In discharging of capacitor current flow in RC circuit at any time it ist is given by = i. et fare s et is given by (t) = do etike Hence Energy dissipated by R, E252) i Ridt = R, Q2 co R2 Joe - 24 RC dt

ac [2-20) - - Rigo (0-1) ZRC U = R,Q? ZRC = 25*(17-5X1062 .. 2X145 X 0.25x106 = 105.60 x 156 J 19 = 105.6cuJ) ab