Suppose R = 100_Ohm and C = 50_muF in a (charging) RC-series circuit with a 9_V

Question

Suppose R = 100_Ohm and C = 50_muF in a (charging) RC-series circuit with a 9_V power source. What is the maximum charge on the capacitor? What is the charge on the capacitor after 0.0012.s?. What is the charge after 2.5 time constants? 23. max charge a. 0.0007879_C b. 0.000421_C C. 0.00045_C d. 0.0008195_C e. 0.0005342_C f. 0.0005118_C 24. charge after 0.0012_S a. 0.00009602_C b. 0.0001748_C c. 0.0001156_C d. 0.00009371_C e. 0.00001421_C f. 0.00001541_C 25. charge after 1.5 time constants a. 0.0003456_C b. 0.0003496_C c. 0.0004138_C d. 0.0003445_C e. 0 0005226_C f. 0.0004785_C

Explanation / Answer

23 )

Qmax = CV

Qmax = 50 * 10^-6 x 9 = 0.00045 ( c option )

24 )

time constant = RC = 5 x 10^-3

Q = Qo(1-e^-t/RC)

Qo = Q max

Q = 0.00009602 C ( a option )

25 )

t = 1.5RC

Q = Qmax(1-e^-t/RC)

Q = 0.0003496 C ( b option )

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