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Three circuits have the form open. shown in the diagram. The capacitor is initia

ID: 1864438 • Letter: T

Question

Three circuits have the form open. shown in the diagram. The capacitor is initially uncharged and the switch S s the diagram The values of the emf , resistance and R, and capacitance C for cach for the circuits are circuit l: ?-18V,R.. 9 ?, C-9AdF circuit 2: ?.36 V, R " 6 ?.ca5pE circuit 3: 12 V. R-32, C-3 Rank the circuits according to the time it takes to reach 63% of the maximum charge in the capacitor plates afar the switch S has been closed, least to greatest. A) 1,2. 3 B) 3. 2, I c) 2.3.1 D) 2, 1. 3 Problem 4 (6 pts] In the circuit below, Ri R2 -Rs 22, the battery supplies 6 V. What is the potential drop across resistor Ri? R,

Explanation / Answer

Qt = Q0(1-e-t/RC)

Qt/ Q0 = 0.63 = 1-e-t/RC

e-t/RC =1-0.63

e-t/RC = 0.37

-r/RC=log0.37

t=-RC* log0.37

Thus time depends only on values of R and C

Circuit 1: E=18 V, R= 9 ?, C= 9 µF

t=17.9s

Circuit 2: E=18 V, R= 6 ?, C= 5 µF

t=29.83

Circuit 3: E=18 V, R= 3 ?, C= 3 µF

t= 8.95

Thus rank is: circuit 3 < circuit 1< circuit 2

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