Two capacitors are connected in parallel across a 12 V battery. The total energy

Question

Two capacitors are connected in parallel across a 12 V battery. The total energy stored in the two capacitors together is 0.2 J. What is the equivalent capacitance of this circuit? A. 2.7 mF
B. 600 F
C. 5.4 ?F
D. 0.12 mF Two capacitors are connected in parallel across a 12 V battery. The total energy stored in the two capacitors together is 0.2 J. If C1 = 0.7 mF. What is the capacitance of the second capacitor? A. 3.4 mF
B. 2 mF
C. 1.2 mF
D. 0.9 mF Two capacitors are connected in parallel across a 12 V battery. The total energy stored in the two capacitors together is 0.2 J. What is the equivalent capacitance of this circuit? A. 2.7 mF
B. 600 F
C. 5.4 ?F
D. 0.12 mF Two capacitors are connected in parallel across a 12 V battery. The total energy stored in the two capacitors together is 0.2 J. If C1 = 0.7 mF. What is the capacitance of the second capacitor? A. 3.4 mF
B. 2 mF
C. 1.2 mF
D. 0.9 mF A. 2.7 mF
B. 600 F
C. 5.4 ?F
D. 0.12 mF

Explanation / Answer

equivalent capacitance in series is 1/C = 1/C1 +1/C2 +1/C3....

equavalent capaciatcne in parallel is C = C1+C2+C3

so

a. eenrgy U = 0.5 cv^2

C = 2U/v^2 = 0.2*02/12*12 = 0.00277

2.7 mF option A

b. C1+C2 = 0.00277

C2 = 2.7 mF - 0.7 mF = 2mF

option B

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