A 8.6 F capacitor and a16.7 F capacitor areconnected in parallel across the term
ID: 1669179 • Letter: A
Question
A 8.6 F capacitor and a16.7 F capacitor areconnected in parallel across the terminals of a 6.0 V battery. (a) What is the equivalent capacitance of thiscombination?1F
(b) What is the potential difference across each capacitor?
2 V (8.6 F capacitor)
3 V (16.7 F capacitor)
(c) Find the charge on each capacitor.
4C(8.6 F capacitor)
5C(16.7 F capacitor)
(d) Find the energy stored in each capacitor.
6J(8.6 F capacitor)
7J(16.7 F capacitor) (a) What is the equivalent capacitance of thiscombination?
1F
(b) What is the potential difference across each capacitor?
2 V (8.6 F capacitor)
3 V (16.7 F capacitor)
(c) Find the charge on each capacitor.
4C(8.6 F capacitor)
5C(16.7 F capacitor)
(d) Find the energy stored in each capacitor.
6J(8.6 F capacitor)
7J(16.7 F capacitor)
Explanation / Answer
a. 1. Equivalentcapacitance in parallelis C = C1 + C2 = 8.6+ 16.7 = 25.3 F = 8.6+ 16.7 = 25.3 F b. Since both capacitorsare connected in parallel across the battery, the potentialdifference across both will be same and equal to that of batteryEMF. 2. p.d.across 8.6F V1 = 6.0 V 3. p.d. across 16.7F V2 = 6.0 V c. Charge Q = C* V 4. Q1 = C1* V1 = 8.6* 10-6 * 6 = 51.6* 10-6 C = 51.6 C 5. Q2 = C2* V2 = 16.7* 10-6 * 6 = 100.2 C d. Energy U = (1/2)* C * V2 6. U1 = 0.5* 8.6 * 10-6 * 62 = 154.8* 10-6 J = 154.8 J 7. U2 = 0.5* 16.7 * 10-6 * 62 = 300.6 J = 300.6 JRelated Questions
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