Part A Find the equivalent capacitance of the combination shown in Express your
ID: 3163843 • Letter: P
Question
Part A Find the equivalent capacitance of the combination shown inExpress your answer with the appropriate units. C =
Part B Find the charge on capacitor C1 when a 12.0-V battery is connected across the combination. Express your answer with the appropriate units. Q1 =
Part C Find the charge on capacitor C2 when a 12.0-V battery is connected across the combination. Express your answer with the appropriate units. Q2 =
Part D Find the charge on capacitor C3 when a 12.0-V battery is connected across the combination. Express your answer with the appropriate units. Q3 =
Part E Find the voltage on capacitor C1 when a 12.0-V battery is connected across the combination. Express your answer with the appropriate units. V1 =
Part F Find the voltage on capacitor C2 when a 12.0-V battery is connected across the combination. Express your answer with the appropriate units. V2 =
Part G Find the voltage on capacitor C3 when a 12.0-V battery is connected across the combination. Express your answer with the appropriate units. V3 =
Part A Find the equivalent capacitance of the combination shown in
Express your answer with the appropriate units. C =
Part B Find the charge on capacitor C1 when a 12.0-V battery is connected across the combination. Express your answer with the appropriate units. Q1 =
Part C Find the charge on capacitor C2 when a 12.0-V battery is connected across the combination. Express your answer with the appropriate units. Q2 =
Part D Find the charge on capacitor C3 when a 12.0-V battery is connected across the combination. Express your answer with the appropriate units. Q3 =
Part E Find the voltage on capacitor C1 when a 12.0-V battery is connected across the combination. Express your answer with the appropriate units. V1 =
Part F Find the voltage on capacitor C2 when a 12.0-V battery is connected across the combination. Express your answer with the appropriate units. V2 =
Part G Find the voltage on capacitor C3 when a 12.0-V battery is connected across the combination. Express your answer with the appropriate units. V3 =
1.00 MF CI 2.00 MF FFC3 2.00 MF
Explanation / Answer
here,
C1 = 2 uF
C2 = 1 uF
C3 = 2 uF
V = 12 V
a)
C2 and C3 are in parallel, their equivalent capacitance , C1' = C2 + C3
C1' = 3 uF
C1' and C1 are in series,
let their equivalent capacitance be Ceq
1/Ceq = 1/C1 + 1/C1'
1/Ceq = 1/2 + 1/3
Ceq = 1.2 uF
b)
the charge across C1 , Q1 = Ceq * V
Q1 = 14.4 uC= 1.44 * 10^-5 C
c)
the charge across C2 , Q2 = (V - Q1/C1 ) * C2
Q2 = ( 12 - 14.4/2) * 1 uC
Q2 = 4.8 * 10^-6 C
d)
the charge across C3 , Q3 = Q1 - Q2
Q3 = 9.6 * 10^-6 C