Question

Power in RC Circuits- RC-9 A battery with &-15.0V is connected in series with a resistor and capacitor in the circuit shown to the right. At r-0 the capacitor is uncharged and the switch is closed. a) Find the current in the circuit at t-1.00s. b) Find the rate at which the resistor is converting energy in the circuit into heat at t-1.00s. Hint: what are the units for the rate of transfer of energy? c) Find the rate at which the capacitor is storing energy in its electric field at t-1.00s. d) Find the rate at which the battery is puting energy into the circuit at t-1.00s. switch C-115x10 F 8-15.0V R-1.80x10 Q -10 At t-0 the capacitor is uncharged and the switch is closed.

Answer 1

• at to About the clotest €= 15000T Ic=115X0F Cwrant in the crust at any instant 1 given by I(t)= & le tire TERL At t=hoos ISIS (1 8XI0 SR=1&OXO'N 71.xldX 116 T=1.8 X10 X 115x106 T= 2074 -4 -1/2.07 8.3AXI, Xe * T = I: 5.1 4x1004 A O 1-0.514 MA e faux of heart Rate of heat energy, P= I²R if(504x10492 x 1.80 Xitoy mal Pa 40757 X10% W or 4.757 mb] © einu, Es ex2 = Pachete cvatne Voltage aume captuitor, v= { [d-ette) soles étte - PE CelletA) & ē? Pe = 1150ot (152 (re 12.07) 21207 kl Pe = 2. 954610-3 W or 2.954 mu! & Rate q energy supplied by battery Po - 1€ =( 15-14X104X15 ) W 1 P = 7.71x10*W or 7.7 mW]