Part A For the capacitor network shown in the figure, find the equivalent capaci

ID: 1314091 • Letter: P

Question

Part A

For the capacitor network shown in the figure, find the equivalent capacitance.(Figure 1)

Part B

Find the charge on the capacitor a) when the entire combination is connected across a 12V battery.

Part C

Find the charge on the capacitor b) when the entire combination is connected across a 12V battery.

Part D

Find the charge on the capacitor c) when the entire combination is connected across a 12V battery.

Part E

Find the charge on the capacitor d) when the entire combination is connected across a 12V battery.

Express your answer to two significant figures and include the appropriate units

equivalent Capacitance

C=(Ca+Cb)(Cc+Cd)/(Ca+Cb+Cc+Cd)

C=(0.25+0.4)(0.35+0.5)/(0.25+0.4+0.35+0.5)

C=0.3683 F =0.37 F (approx)

Total Charge

Q=CV =0.37*12=4.4 F

Charge on a is

Qa=Q*(Ca/Ca+Cb) =4.4*(0.25/0.25+0.4)

Qa=1.7 C

charge on b is

Qb=Q-Qa=4.4-1.7=2.7 C

charge on c is

Qc=Q*(Cc/Cc+Cd) =4.4*(0.35/0.35+0.5)

Qc=1.8 C

charge on d is

Qd=Q-Qc=4.4-1.8=2.6 C