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Problem 19.69 In the circuit shown in the figure (Figure 1), the capacitors are

ID: 1398905 • Letter: P

Question

Problem 19.69 In the circuit shown in the figure (Figure 1), the capacitors are all initially uncharged and the battery has no appreciable internal resistance. Assume that E 55.0 V and R 22.02 of 1 Figure 1 20.0 pF 30.0 pF 0.0 pF 40.0 pF Part A After the switch Sis closed, find the maximum charge on each capacitor. Answer in the order indicated. Separate your answers using commas. pC 10 920 930 40 Submit My Answers Give Up Part B After the switch S is closed, find the maximum potential difference across each capacitor Answer in the order indicated. Separate your answers using commas. 10 20 30 V40" Submit My Answers Give Up Part C After the switch S is closed, find the maximum reading of the ammeter A

Explanation / Answer

A) q10 = 10*55

= 550 pC


q20 = 55/(1/20+1/30+1/40)

= 507.7 pC

q30 = 507.7 pC

q40 = 507.7 pC


B) V10 = 55 volts

V20 = 507.7/20

= 25.385 volts

V30 = 507.7/30 = 16.92 volts

V40 = 507.7/40 = 12.7 volts


C) Imax = E/R

= 55/22

= 2.5 A

D)

Cnet = 1/(1/20+1/30+1/40) + 10

= 19.23 pF

time constant, T = R*Cnet

= 22*19.23

= 423 ps