Seven capacitors are connected as shown in the figure, where C 0 =24.0 ?F, C 1 =

Question

Seven capacitors are connected as shown in the figure, where C0=24.0 ?F, C1=4.0 ?F, C2=4.0 ?F, C3=16.0 ?F, C4=16.0 ?F, C5=8.0 ?F, and C6=18.0 ?F.

a) Find C345 the equivalent capacitance of capacitors C3, C4, and C5. Express your answer in ?F.

b) Find C123456 the equivalent capacitance of capacitors C1, C2, C3, C4, C5, and C6. Express your answer in ?F.

c) Find Ceq the equivalent capacitance of all capacitors in the circuit. Express your answer in ?F.

d) Find the charge stored by C0 If the voltage E is equal to E = 16.0 V. Express your answer in ?C.

e) Find the voltage across C0 then. Express your answer in Volts.

Explanation / Answer

a)

C3 ,C4 and C5 are in series

1/C345=1/16 +1/16 +1/8

C345=4 uF

b)

C1 and C2 are in series

1/C12=1/4+1/4

C12=2 uF

C12 ,C345 and C6 are in parallel

C123456=2+4+18=24 uF

c)

Co and C1234565 are in series

1/Ceq=1/24+1/24

Ceq=12 uF

d)

Charge on Co is

Qo=CeqE=12*16=192 uC

e)

Voltage across Co

Vo=Qo/Co=192/24

Vo=8 Volts

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