Answer to Question #102694 in Electricity and Magnetism for Sofiumer

Question #102694
Two capacitors are connected in series c1=1f , v1=10v and c2=3f , v2= 20f find total voltage of the system 30 is not the answer
1
Expert's answer
2020-02-11T13:44:38-0500

Two capacitors are connected in series:


q1=C1V1=(1)(10)=10 Cq_1=C_1V_1=(1)(10)=10\ Cq2=C2V2=(3)(20)=60 Cq_2=C_2V_2=(3)(20)=60\ C

Total charge:


q=q1+q2=10+60=70 Cq=q_1+q_2=10+60=70\ C

Capacitance:


C=C1C2C1+C2=(1)(3)1+3=0.75 FC=\frac{C_1C_2}{C_1+C_2}=\frac{(1)(3)}{1+3}=0.75\ F

Total voltage of the system:


U=qC=700.75=93.3 VU=\frac{q}{C}=\frac{70}{0.75}=93. 3\ V


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