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Consider the following figure.
(a) Find the equivalent capacitance between points a and b for the group of capacitors connected
as shown in the figure if
C 1 = 8.00 ? F,
C 2 = 12.00 ? F,
and
C 3 = 2.00 ? F.
? F
(b) If the potential between points a and b is 60.0 V, what charge is stored on C 3 ?
? C
Min ??? == =
Solution
here,
a)
C2 and C2 are in parallel , their equivallent capacitance , C4 = C2/2 = 6 uF
(C1 and C2) are in series ,their equivalent capacitance , C5 = C1 * C2 /( C1 + C2)
C5 = 8 * 12 /( 8 + 12) = 4.8 uF
C5 , C5 and C3 are in parallel, their equivalent capacitance , C6 = C5 + C5 + C3
C6 = 11.6 uF
C6 and C4 are series , the equivalent capacitance , Ceq = C6 * C4 /( C6 + C4)
Ceq = 11.6 * 6 /( 11.6 + 6) uF
Ceq = 3.95 uF
b)
V = 60 V
the potential across C3 , V3 = ( V - Ceq * V /C4)
V3 = ( 60 - 3.95 * 60 /6) V
V3 = 20.5 V
the charge stored in C3 , Q3 = C3 * V3
Q3 = 40.9 uC

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Consider the following figure- (a) Find the equivalent capacitance bet.docx

  • 1. Consider the following figure. (a) Find the equivalent capacitance between points a and b for the group of capacitors connected as shown in the figure if C 1 = 8.00 ? F, C 2 = 12.00 ? F, and C 3 = 2.00 ? F. ? F (b) If the potential between points a and b is 60.0 V, what charge is stored on C 3 ? ? C Min ??? == = Solution here, a) C2 and C2 are in parallel , their equivallent capacitance , C4 = C2/2 = 6 uF (C1 and C2) are in series ,their equivalent capacitance , C5 = C1 * C2 /( C1 + C2) C5 = 8 * 12 /( 8 + 12) = 4.8 uF C5 , C5 and C3 are in parallel, their equivalent capacitance , C6 = C5 + C5 + C3 C6 = 11.6 uF
  • 2. C6 and C4 are series , the equivalent capacitance , Ceq = C6 * C4 /( C6 + C4) Ceq = 11.6 * 6 /( 11.6 + 6) uF Ceq = 3.95 uF b) V = 60 V the potential across C3 , V3 = ( V - Ceq * V /C4) V3 = ( 60 - 3.95 * 60 /6) V V3 = 20.5 V the charge stored in C3 , Q3 = C3 * V3 Q3 = 40.9 uC