How much charge does a 16V battery have to supply to fully charge a 2.2MuF capac

Question

How much charge does a 16V battery have to supply to fully charge a 2.2MuF capacitor and a 5.5MuF capacitor when they're in parallel? Express your answer to two significant figures and include the appropriate units. Q = Value Units Part B How much energy does the battery have to supply in this case? Express your answer to two significant figures and include the appropriate units. Q = Value Units Part C How much charge does a 16V battery have to supply to fully charge a 2.2 MuF capacitor and a 5.5 MuF capacitor when they're in series? Express your answer to two significant figures and include the appropriate units. U = Value Units Part D How much energy does the battery have to supply in this case? Express your answer to two significant figures and include the appropriate units. U = Value Units

Explanation / Answer

a)

equivalent capacitance in parallel

C=2.2+5.5 =7.7 uF

Charge

Q=CV=7.7*16

Q=123.2 uC or 1.232*10^-4 C

b)

Energy stored

U=(1/2)CV^2=(1/2)*(7.7*10^-6)*16^2

U=9.856*10^-4 J or 0.9856 mJ

c)

equivalent capacitance

1/C =1/2.2 +1/5.5

C=1.57 uF

charge

Q=CV =1.57*16

Q=25.14 uC or 2.514*10^-5 C

d)

U=(1/2)*(1.57*10^-6)*16^2

U=2*10^-4 J or 0.2 mJ

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