Question #324673

Activity:



Find CT, V1, V2, V3 & UT, when C1 = 1F, C2 = 2F, C3 = 3F & QT = 4C.




1
Expert's answer
2022-04-06T13:57:20-0400

1CT=1C1+1C2+1C3\frac{1}{C_T}=\frac{1}{C_1}+\frac{1}{C_2}+\frac{1}{C_3}

1CT=11+12+13\frac{1}{C_T}=\frac{1}{1}+\frac{1}{2}+\frac{1}{3}

CT=611FC_T=\frac{6}{11}F

QT=Q1=Q2=Q3=4CQ_T=Q_1=Q_2=Q_3=4C

V1=QC=41=4VV_1=\frac{Q}{C}=\frac{4}{1}=4V

V2=QC=42=2VV_2=\frac{Q}{C}=\frac{4}{2}=2V

V3=QC=43=1.33VV_3=\frac{Q}{C}=\frac{4}{3}=1.33V


UT=12Q22CT=12×42×116=29.33JU_T=\frac{1}{2}\frac{Q^2}{2C_T}=\frac{1}{2}\times\frac{4^2\times11}{6}=29.33J


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