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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