In the circuit below, ? = 15.5 V, C1 = 6.30 ?F, C2 = 5.20 ?F, C3 = 7.80 ?F, and

Question

In the circuit below, ? = 15.5 V, C1 = 6.30 ?F, C2 = 5.20 ?F, C3 = 7.80 ?F, and C4 = 1.80 ?F.

http://www.webassign.net/userimages/capacitorCircuit2.jpg?db=v4net&id=147902

When all capacitors are fully charged, what is
(a) the charge stored on capacitor 1?
?C
(b) the charge stored on capacitor 2?
?C
(c) the charge stored on capacitor 3?
?C
(d) the charge stored on capacitor 4?
?C
(e) the potential difference across the terminals of capacitor 2?
V
(f) the potential difference across the terminals of capacitor 3?
V
(g) the total charge stored (i.e. the charge stored if the capacitors were replaced by their equivalent capacitance; this is not the sum of your answers to parts a - d)?
?C

Explanation / Answer

a) Q1 = C1*E = 6.30*15.5 = 97.65 micro C

b) Q2 = E*C2*C3/(C2+C3) = 48.36 micro C

c) Q3 = Q2 = 48.366 micro C

d) Q4 = C4*E = 27.9 micro C

e) V2 = Q2/C2 = 9.3 V

f) V3 = q3/c3 = 6.2 V
g) Ceq = C1+(C2*C3/(C2+C3))+C4 = 11.37 micro F

Q = Ceq*E = 11.37*15.5 = 176.235 micro C

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