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Potential across a Capacitor

uploaded imageIn Fig. 25-31 a20.0 V battery is connected across capacitors of capacitances C1 = C6 = 2.9 μF and C3 = C5 = 2.00C2 = 2.00C4 = 4.7 μF.

Fig. 25-31

http://i.imgur.com/IudoK.jpg

What are
(a) the equivalent capacitance Ceq of the capacitors
Ceq = 3.18
(b) the charge stored by Ceq?
q = 63.6
What are
(c) V1 and (d) q1 of capacitor 1,
V1 =
q1 =
(e) V2(f) q2 of capacitor 2,
V2 =
V q2 =
(g) V3 and (h) q3 of capacitor 3,
V3 =
q3 =

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Answer #1

Since, 2C2 2C44.7uF C2-C4- 4.7E-2.35 uF V- 20 V Cs and Care series, then, equivalent capapcitance of them C C Cs 4.7uF 4.7uF 4.7uF 4.7 uF now, C, , C4 and C2 are in parallel, then, equivalent capacitance of them C -2.35 μ F +2.35μ F +2.35uF C,=705 μ FNow, equivalent capacitance ofC6 and C1, Now, equivalent capacitance of C and C 0.31426 C031426 3.18 u F Ans. (b) Charge stored in the equivalent capacitor-eCV q,-3.18/1 FX20v-63.6/1C Ans.(c) Concept charge stored in equivalent capacitor is equal to the charge stored in each capacitor in series combination of capacitor. So, from figure, we can see, charge stored in C1 and C6 are equal to the equivalent charge. Thus, Charge stored in C 3.18 uF-q So, voltage drop across either Cl or C6- V-V,63.6C 1097V1v Ans. (e) From figure, voltage across C2-V2 -20 V - 10.97 V- 9.03 Volt Ans.From figure, Voltage across C5 and C3 (combined) Voltage across C2 V3s-V-9.03V Equivalent capacitance of C5 and C3C-2.35uF Charge stored in equivalent capacitance of them- qSCV,-235FX9DWe2L2йс since, C3 and C5 are in series, so, charge stored in either of them are equal to q Then, q-21.2uF -21.2uC Ans. 21.2/c Voltage drop across 3A7M 4.51V Ans . -

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