Part A How much energy must a 28 V battery expend to charge a 0.50 F and a 0.30

ID: 1434394 • Letter: P

Question

Part A

How much energy must a 28 V battery expend to charge a 0.50 F and a 0.30 F capacitor fully when they are placed in parallel?

Express your answer to two significant figures and include the appropriate units.

Part B

How much energy must a 28 V battery expend to charge a 0.50 F and a 0.30 F capacitor fully when they are placed in series?

Express your answer to two significant figures and include the appropriate units.

Part C

How much charge flowed from the battery in each case?

Express your answers using two significant figures separated by a comma.

part A :

Eenrgy U = 0.5 CV^2

here Cnet in parallel = C1+C2 = 0.5uF + 0.3uF = 0.8 uF

U in parallel = (0.5 * 0.8 e-6 * 28*28)

U in parallel = 0.0003136 Joules

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Part B

Cnet in series = 1/C = 1/C1 + 1/C2

1/C = 1/0.5 + 1/0.3

C = 0.1875 uF

Energy in series Us = 0.5 * 0.1875 e -6 * 28*28

Us = 0.00735 J

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part C :

charge Q in parallel = CV = 0.8 e -6 * 28 = 22.4 uC

charge in series = Q = CV

Q = 0.1875 e-6 * 28

Q = 5.35 uC

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