A 0.50- ? F and a 1.4- ? F capacitor ( C 1 and C 2, respectively) are connected

Question

A 0.50-?F and a 1.4-?F capacitor (C1 and C2, respectively) are connected in series to a 12-Vbattery.

Part A

Calculate the potential difference across each capacitor.

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

Part B

Calculate the charge on each capasitor.

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

Part C

Calculate the potential difference across each capacitor assuming the two capacitors are in parallel.

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

Part D

Calculate the charge on each capasitor assuming the two capacitors are in parallel.

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

Explanation / Answer

C1 =0.50-?F

C2 =1.4-?F

part A

as they are in series

effective capacitance C = C1C2/(c1+C2) = 0.37-?F

charge Q = CV = 4.421?C

V1= Q/C1 = 4.421/0.5 = 8.84V

V2 =Q/C2 = 4.42/1.4 = 3.14 V

Part B

Q = 4.4?C

Part C

V1 =12V

V2 =12V

part D

Q1 =C1V = 6?C

Q2 = C2V = 16.8 ?C

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