find the charge stored on each capacitor in figure 1824 c1

find the charge stored on each capacitor in figure 18.24 (c_1 = 10.0 mu F, c_2 = 6.00 mu F) when a 1.54 v battery is connected to the combination. C_1_____________C C_2____________C 0.300 mu f capactor_____________C what energy is stored in each capactor? C_1_____________J C_2____________J 0.300 mu f capactor_____________J Additional mateials Reading. What total energy

Solution

capacitance=10+6=16microcoulomb

(X-1.54)*16+(X-0)0.3=0

x=16*1.54/16.3

x=1.511

charge on C1=(1.54-1.511)10=0.2834microcoulomb

charge on C2=(1.54-1.511)6=0.14microcoulomb

charge on C3=(1.511-0)0.3=0.4533microcoulomb

Energy in C1 capacitor=0.5Q²/C=0.5*0.2834*0.2834/10=0.004015x10^-12 J

Energy in C2 capacitor=0.5Q²/C=0.5*0.14*0.14/6=0.00163x10^-12 J

Energy in C3 capacitor=0.5Q²/C=0.5*0.4533*0.4533/0.3=0.3425x10^-12 J

Next question

0.5CV²=1.8*10^-4

2.5*10^-6xV²=3.6*10^-4

V=0.12

Net capacitance of C1 and C2=0.6*22/22.6=0.5840 micro ferrate

(X-0.12)0.6+(X-0)22=0

X=0.12*0.6/22.6=3.185*10^-3

Energy in C1 capacitor=0.5CV²=0.5*0.6*(0.12-X)=0.035x10^-6J

Energy in C2 capacitor=0.5CV²=0.5*22*(X)=0.385x10^-6J