Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN: 9780133923605
Author: Robert L. Boylestad
Publisher: PEARSON
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Task: Using the given charge and discharge values at these discrete points in time, construct
two plots of Voltage (V.) vs. Time (t) for charging and discharging of the capacitor.
ID:
Name of Student:
3.1 RC Circuit
The objective of this part is to study the charging and discharging of a capacitor by
measuring the potential difference (voltage) across the capacitor as a function of time. The
students will also measure the experimental time constant and use it to determine the
experimental value of the capacitance of the capacitor.
Table 1. Voltage-Time Table for Charging Capacitor
Time t(s) Potential Diffèrence V(t)
Time t(s) Potential Diffèrence V(t)
40
1.328 V
OV
5
0.332 V
50
1.386 V
10
60
0.638 V
1.422 V
15
70
0.861 V
1.437 V
20
1.017 V
80
1.448 V
|
25
90
1.458 V
1.131 V
Task: Using your collected Voltage-Time data for discharging, calculate time constant t.
30
1.220 V
100
1.458 V
Show the formulations and data pair you used in the calculation.
If the resistance is given to be equal to R=15k2, calculate the value of capacitance from t.
Table 2. Voltage-Time table for Discharging Capacitor
Your Answer:
Time t(s) Potential Difference V(t)
Time t(s) Potential Diffèrence V(t)
1.479 V
40
0.119 V
5
50
1.136 V
0.057 V
10
0.830 V
60
0.026 V
15
0.602 V
70
0.005 V
Task: What possible changes can be made to the circuit so that the capacitor will charge
faster to its maximum voltage value?
20
80
0.441 V
0.002 V
25
90
0.317 V
0.001 V
Your Answer:
30
100
0.228 V
0.001 V
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Transcribed Image Text:Task: Using the given charge and discharge values at these discrete points in time, construct two plots of Voltage (V.) vs. Time (t) for charging and discharging of the capacitor. ID: Name of Student: 3.1 RC Circuit The objective of this part is to study the charging and discharging of a capacitor by measuring the potential difference (voltage) across the capacitor as a function of time. The students will also measure the experimental time constant and use it to determine the experimental value of the capacitance of the capacitor. Table 1. Voltage-Time Table for Charging Capacitor Time t(s) Potential Diffèrence V(t) Time t(s) Potential Diffèrence V(t) 40 1.328 V OV 5 0.332 V 50 1.386 V 10 60 0.638 V 1.422 V 15 70 0.861 V 1.437 V 20 1.017 V 80 1.448 V | 25 90 1.458 V 1.131 V Task: Using your collected Voltage-Time data for discharging, calculate time constant t. 30 1.220 V 100 1.458 V Show the formulations and data pair you used in the calculation. If the resistance is given to be equal to R=15k2, calculate the value of capacitance from t. Table 2. Voltage-Time table for Discharging Capacitor Your Answer: Time t(s) Potential Difference V(t) Time t(s) Potential Diffèrence V(t) 1.479 V 40 0.119 V 5 50 1.136 V 0.057 V 10 0.830 V 60 0.026 V 15 0.602 V 70 0.005 V Task: What possible changes can be made to the circuit so that the capacitor will charge faster to its maximum voltage value? 20 80 0.441 V 0.002 V 25 90 0.317 V 0.001 V Your Answer: 30 100 0.228 V 0.001 V
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