Vbatt=20 V ww C1=90 μF C2=55 μF C3=80 μF R1=200 2 R2=160 t2=27 msec t3=34.2 msec S R Consider the circuit shown below which shows a battery connected to some resistors and capacitors along with some switches which will be toggled opened or closed at different times. The components are listed above. The capacitances are in microFarads (μF), the resitances are in Ohms (2), and the times are in milliseconds (msec). A stopwatch is started at time t1=0 ms. At that time, switch S1 is closed and all other switches are open and the capacitor is allowed to charge up. (a). What is the charge (in uC) on C1 at the time the stopwatch reads t2=27 ms? ✓ 01.40e+03 02950 O4560 O2.10e+03 0546 01220 (b). What is the current (in mA) through R1 at t2=27 ms? ✔ O22.3 047.1 019.4 O8.70 072.7 033.5 (c). What is the voltage (in V) across R1 at t2=27 ms? 09.41 O1.74 O14.5 4.46 O3.88 06.69 (d). What is the voltage (in V) across C1 at t2=27 ms? 023.4 032.9 06.08 15.6 O13.6 050.9 (e). What is the energy (in m]) in C1 at t2=27 ms? X 035.5 09.48 O10.9 O4.25 O16.4 23.0 Then, immediately at time t2=27 on the stopwatch, switch S1 is thrown open and switches S2 and S3 are closed (S4 remains open). (f). What is the charge (in uC) on C1 when the stop watch reads t3=34.2 ms? 0331 01270 0739 02770 01790 0849 (g). What is the current (in mA) through R2 at time t3=34.2 ms? O-23.0 O-59.0 O-88.5 O-51.3 O-124 O-192 (h). What is the voltage (in V) across R2 at t3=34.2 ms? 09.44 O3.68 019.9 O14.2 O30.8 08.21 (i) What is the voltage (in V) across C1 at t3=34.2 ms? O14.1 O3.68 019.9 O9.43 08.20 030.7 (j) What is the energy (in m]) on C1 at t3=34.2 ms? 03.48 06.00 O1.56 04.00 08.44 13.0 Then, immediately at time t3=34.2 ms on the stopwatch, switch S3 is thrown open and switch s4 is closed (switch S2 remains closed and S1 remains open). The system is then allowed to reach the steady state. At this steady state, find: (k). The charge (in uC) on C1 0510. 0296 01110 O133 O340. 0717 (I). The charge (in uC) on C2 0181 0312 0208 0678 081.1 0439 (m). The charge (in uC) on C3 0637 0985 0453 0263 0302 0118 (n). The voltage (in V) across C1 03.29 07.98 O1.47 O3.78 O12.3 05.67 (o). The voltage (in V) across C2 03.29 012.3 O3.78 O5.67 O1.47 07.98 (p). The voltage (in V) across C3 03.78 05.67 07.98 O12.3 O1.47 03.29 (q). The energy (in mJ) in C1 O0.559 00.250 O0.963 O2.09 00.642 O1.35 (r). The energy (in m]) in C2 O0.829 00.393 O1.28 0.590 O0.153 00.342 (s). The energy (in mJ) in C3 O0.570 00.222 O1.86 0.855 00.496 01.20 (t). The total energy (in m]) on all three capacitors. 03.40 02.42 00.628 O5.25 O1.61 O1.40

Vbatt=20 V ww C1=90 μF C2=55 μF C3=80 μF R1=200 2 R2=160 t2=27 msec t3=34.2 msec S R Consider the circuit shown below which shows a battery connected to some resistors and capacitors along with some switches which will be toggled opened or closed at different times. The components are listed above. The capacitances are in microFarads (μF), the resitances are in Ohms (2), and the times are in milliseconds (msec). A stopwatch is started at time t1=0 ms. At that time, switch S1 is closed and all other switches are open and the capacitor is allowed to charge up. (a). What is the charge (in uC) on C1 at the time the stopwatch reads t2=27 ms? ✓ 01.40e+03 02950 O4560 O2.10e+03 0546 01220 (b). What is the current (in mA) through R1 at t2=27 ms? ✔ O22.3 047.1 019.4 O8.70 072.7 033.5 (c). What is the voltage (in V) across R1 at t2=27 ms? 09.41 O1.74 O14.5 4.46 O3.88 06.69 (d). What is the voltage (in V) across C1 at t2=27 ms? 023.4 032.9 06.08 15.6 O13.6 050.9 (e). What is the energy (in m]) in C1 at t2=27 ms? X 035.5 09.48 O10.9 O4.25 O16.4 23.0 Then, immediately at time t2=27 on the stopwatch, switch S1 is thrown open and switches S2 and S3 are closed (S4 remains open). (f). What is the charge (in uC) on C1 when the stop watch reads t3=34.2 ms? 0331 01270 0739 02770 01790 0849 (g). What is the current (in mA) through R2 at time t3=34.2 ms? O-23.0 O-59.0 O-88.5 O-51.3 O-124 O-192 (h). What is the voltage (in V) across R2 at t3=34.2 ms? 09.44 O3.68 019.9 O14.2 O30.8 08.21 (i) What is the voltage (in V) across C1 at t3=34.2 ms? O14.1 O3.68 019.9 O9.43 08.20 030.7 (j) What is the energy (in m]) on C1 at t3=34.2 ms? 03.48 06.00 O1.56 04.00 08.44 13.0 Then, immediately at time t3=34.2 ms on the stopwatch, switch S3 is thrown open and switch s4 is closed (switch S2 remains closed and S1 remains open). The system is then allowed to reach the steady state. At this steady state, find: (k). The charge (in uC) on C1 0510. 0296 01110 O133 O340. 0717 (I). The charge (in uC) on C2 0181 0312 0208 0678 081.1 0439 (m). The charge (in uC) on C3 0637 0985 0453 0263 0302 0118 (n). The voltage (in V) across C1 03.29 07.98 O1.47 O3.78 O12.3 05.67 (o). The voltage (in V) across C2 03.29 012.3 O3.78 O5.67 O1.47 07.98 (p). The voltage (in V) across C3 03.78 05.67 07.98 O12.3 O1.47 03.29 (q). The energy (in mJ) in C1 O0.559 00.250 O0.963 O2.09 00.642 O1.35 (r). The energy (in m]) in C2 O0.829 00.393 O1.28 0.590 O0.153 00.342 (s). The energy (in mJ) in C3 O0.570 00.222 O1.86 0.855 00.496 01.20 (t). The total energy (in m]) on all three capacitors. 03.40 02.42 00.628 O5.25 O1.61 O1.40

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter29: Direct Current (dc) Circuits

Section: Chapter Questions

Problem 75PQ

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