Consider the combination of capacitors shown in the figure.(Figure 1) Three capa
ID: 1573538 • Letter: C
Question
Consider the combination of capacitors shown in the figure.(Figure 1) Three capacitors are connected to each other in series, and then to the battery. The values of the capacitances are C, 2C, and 3C, and the applied voltage is V. Initially, all of the capacitors are completely discharged; after the battery is connected, the charge on plate 1 is Q.
The charges on plates 3 & 6 are +Q and -Q.
The voltage across the 2nd & third capacitors = 1/2 DELTA V(1) and 1/3 DELTA V(1)
A.) Find the voltage V1 across the first capacitor.
B.) Find the voltage V1 across the first capacitor. Express your answer in terms of C and V1.
C.) Using the value of Q just calculated, find the equivalent capacitance Ceq for this combination of capacitors in series. Express your answer in terms of C.
2C 3C 3 4 +0Explanation / Answer
A)
Q = charge flowing in each capacitor
V1 = Voltage across the first capacitor = Q/C1 = Q/C
Q= CV1
V/Ceq = CV1
Ceq = V/(CV1 )