Question

A 2.75-F and a 4.07-F capacitor are connected to a 55.0-V battery. What is the total charge supplied to the capacitors when they are wired (a) in parallel and (b) in series with each other?

(a)

Number

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Units

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(b)

Number

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Unit

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Answer 1

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given

C1 = 2.75 F

C2 = 4.07 F

V = 55 v

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(a)

in parallel Ceq = C1+C2 = 6.82 F

total charge = Cp V = 6.82 F * 55 v = 375.10 C

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(b)

in series 1/Cs = 1/C1+1/C2

              1/Cs = 1/2.75F + 1/4.07F

                   Cs = 1.6411 F

total charge = Cs V = 1.611 F * 55 v = 90.262 C

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