A capacitor with capacitance Co. after having been connected to a battery with emf to for a long time, is discharged through a 49 x 101 Qresistor at time t-0. The potential difference across the capacitor is then measured as a function of time for a brief time interval; the results are recorded below. Perform a linear regression fit of In Ve versus t. From the parameters of the fit, determine (a) the emf #o of the battery and (b) the time constant r for the circuit. (c) Finally, determine the value of capacitance Co. Ve(V): 10.1 7.21 5.72 4.40 3.42 2.74 2.03 (): 0.21 0.43 0.63 0.80 1.1 1.2 14 (a) Number Units (b) Number Units (c) Number Units

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A capacitor with capacitance Co. after having been connected to a battery with emf to for a long time, is discharged through a 49 x 10
Qresistor at time t-0. The potential difference across the capacitor is then measured as a function of time for a brief time interval; the
results are recorded below. Perform a linear regression fit of In Ve versus t. From the parameters of the fit, determine (a) the emf eo of
the battery and (b) the time constant r for the circuit. (c) Finally, determine the value of capacitance Co.
Ve(V):
10.1
7.21
5.72
4.40 3.42 2.74 2.03
():
0.21
0.43
0.63
0.80 1.1 1.2 1.4
(a) Number
Units
(b) Number
Units
(c) Number
Units
Transcribed Image Text:A capacitor with capacitance Co. after having been connected to a battery with emf to for a long time, is discharged through a 49 x 10 Qresistor at time t-0. The potential difference across the capacitor is then measured as a function of time for a brief time interval; the results are recorded below. Perform a linear regression fit of In Ve versus t. From the parameters of the fit, determine (a) the emf eo of the battery and (b) the time constant r for the circuit. (c) Finally, determine the value of capacitance Co. Ve(V): 10.1 7.21 5.72 4.40 3.42 2.74 2.03 (): 0.21 0.43 0.63 0.80 1.1 1.2 1.4 (a) Number Units (b) Number Units (c) Number Units
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