Question

Part A Charging of RC Circuit 

1) Construct a RC circuit (series) with a capacitor, a resistor, a battery, two switches, and appropriate meters that will enable you to make measurements of the parameters for charging up the capacitor. The placement of the switches allows you to measure both charging and discharging of the RC circuit. See diagram below: 

2) Choose a combination of Rand C that will give you a time constant(T) of 20 seconds. T=R*C 20= 100* C=0.2F 

3) Set the battery voltage to 100 volts. 

Capacitor charging voltage versus time 

4) Set up a table to record time (in multiples of the time constant) and voltage (across the capacitor). 

5) Close switch #1 (closest to the battery) and then turn on the stopwatch. Do both simultaneous as you can. Pause the simulation as you take measurements from the pause button at the right bottom. Measure voltage and time. 

6) Graph (1) plot capacitor voltage versus time. 

Resistor voltage versus time 

7) Set up a table to record time (in multiples of the time constant) and voltage (across the resistor). 

8) Repeat set 5) but put the voltmeter across the resistor for these measurements. 

9) Graph (G2) the results for step 8) (i.e. resistor voltage versus time). 

Current versus time 

10) Set up a table to record time in multiples of the time constant) and current (through the resistor and capacitor).

12) Using the same setup as in step 8) repeat step 5) but instead of recording the voltage, record the current on the ammeter. 

13) Graph (G3) plot current versus time.

Answer 1

Solution:

Circuit :

00:00.00 Show Current O Electrons O Conventional Wire Current 0.000 A F Labels ✓ Values Battery Stopwatch AC Voltage 100 22 Voltmeter Ammeter Light Bulb 100.0 V 0022 Resistor Voltage Chart Current Chart HE CAPACITOR 0.20 F INDUCTOR Voltage 0.000 V Switch HE Tap circuit element to edit. II Circuit Construction Kit: AC PHIET: AC Voltage RLC Lab

(1) Capacitor charging voltage Vs time:

Screenshots:

At t = 0 s :

00:00.00 Show Current Wire 5 II O Electrons O Conventional Current 1.00 A Ο Ω Labels F Values Battery Stopwatch AC Voltage 100 22 Current 7 Voltmeter Ammeter Light Bulb 100.0 V 002 Resistor Voltage Chart Current Chart HE CAPACITOR m INDUCTOR 0.20 F Voltage 0.000 V Switch Tap circuit element to edit. Circuit Construction Kit: AC 1) PNET: AC Voltage RLC Lab

At t = 20 s :

Show Current 00:20.49 5 II O Electrons O Conventional Wire Current 0.36 A Ο Ω Labels F Values Battery Stopwatch AC Voltage 100 22 Current 7 Voltmeter Ammeter Light Bulb 100.0 V 0012 Resistor Voltage Chart Current Chart HE CAPACITOR m INDUCTOR 0.20 F Voltage 64.11 V Switch Tap circuit element to edit. Circuit Construction Kit: AC 1) PNET: AC Voltage RLC Lab

At t = 40 s :

Show Current 00:40.35 5 II O Electrons O Conventional Wire Current 0.13 A Ο Ω Labels Values Battery Stopwatch AC Voltage 100 22 DI+1*0101+1 Current 7 Voltmeter Ammeter Light Bulb 100.0 V 0012 Resistor Voltage Chart Current Chart HE CAPACITOR m INDUCTOR 0.20 F Voltage 86.70 V Switch Tap circuit element to edit. Circuit Construction Kit: AC 1) PNET: AC Voltage RLC Lab

At t = 60 s :

01:00.33 Show Current O Electrons O Conventional Wire Current 0.05 A Ο Ω Labels F Values Battery Stopwatch AC Voltage 100 22 Current 7 Voltmeter Ammeter Light Bulb 100.0 V 002 Resistor Voltage Chart Current Chart HE CAPACITOR m INDUCTOR 0.20 F Voltage 95.10 V Switch Tap circuit element to edit. Circuit Construction Kit: AC 1) PNET: AC Voltage RLC Lab

At t = 80 s :

Show Current 01:20.05 II 02. O Electrons O Conventional Wire Current 0.018 A Labels F Values Battery Stopwatch AC Voltage 100 22 Current 7 Voltmeter Ammeter Light Bulb 100.0 V 0012 Resistor Voltage Chart Current Chart HE 0.20 F CAPACITOR m INDUCTOR Voltage 98.17 V Switch Tap circuit element to edit. Circuit Construction Kit: AC 1) PNET: AC Voltage RLC Lab

At t = 100 s :

Show Current 01:40.15 5 II O Electrons O Conventional Wire Current 0.007 A Ο Ω Labels F Values Battery Stopwatch AC Voltage 100 12 Current 7 Voltmeter Ammeter Light Bulb 100.0 V 0012 Resistor Voltage Chart Current Chart HE CAPACITOR m INDUCTOR 0.20 F Voltage 99.33 V Switch Tap circuit element to edit. Circuit Construction Kit: AC 1) PNET: AC Voltage RLC Lab

Data Table:

Time(s)	Voltage(V)
0	0.000
20	64.11
40	86.70
60	95.10
80	98.17
100	99.33

Graph (G1):

Capacitor charging voltage Vs time 120 100 80 Voltage (V) 60 40 20 0 0 20 40 60 80 100 t(s)

(2) Resistor voltage Vs time:

Screenshots:

At t = 0 s :

00:00.00 Show Current O Electrons O Conventional Current 1.00 A Wire Ο Ω F Labels ✓ Values Battery Stopwatch AC Voltage 1000 Voltage 100.00 V Voltmeter Ammeter Light Bulb 100.0 V 0022 Resistor Voltage Chart Current Chart HE CAPACITOR 0.20 F INDUCTOR Switch HE Tap circuit element to edit. Circuit Construction Kit: AC 1) PNET: AC Voltage RLC Lab

At t = 20 s :

00:20.03 Show Current Wire 5 II Current 0.37 A O Electrons O Conventional 022 Labels F Values Battery Stopwatch AC Voltage 1000 Voltage 36.74 V Current 7 Voltmeter Ammeter Light Bulb 100.0 V 02 Resistor Voltage Chart Current Chart HE CAPACITOR m INDUCTOR 0.20 F Switch Tap circuit element to edit. Circuit Construction Kit: AC 1) PNET: AC Voltage RLC Lab

At t = 40 s :

Show Current 00:40.03 5 II 02. Current 0.14 A O Electrons O Conventional Wire Labels F Values Battery Stopwatch AC Voltage 100 2 Voltage 13.52 V Current 7 Voltmeter Ammeter Light Bulb 100.0 V 02 Resistor Voltage Chart Current Chart HE CAPACITOR m INDUCTOR 0.20 F Switch Tap circuit element to edit. Circuit Construction Kit: AC 1) PNET: AC Voltage RLC Lab
At t = 60 s :

Show Current 01:00.10 5 II 022 Current 0.05 A O Electrons O Conventional Wire Labels F Values Battery Stopwatch SE AC Voltage 1000 Voltage 4.95 V Current 7 Voltmeter Ammeter Light Bulb 100.0 v 02 Resistor Voltage Chart Current Chart HE CAPACITOR m INDUCTOR 0.20 F Switch Tap circuit element to edit. Circuit Construction Kit: AC 1) PNET: AC Voltage RLC Lab
At t = 80 s :

01:20.02 Show Current Current 0.018 A O Electrons O Conventional Wire Ο Ω Labels F Values Battery Stopwatch AC Voltage 1000 Voltage 1.83 V Current 7 Voltmeter Ammeter Light Bulb 100.0 V 02 Resistor Voltage Chart Current Chart HE CAPACITOR m INDUCTOR 0.20 F Switch Tap circuit element to edit. Circuit Construction Kit: AC 1) PNET: AC Voltage RLC Lab

At t = 100 s :

01:40.07 II Show Current O Electrons O Conventional Current (0.007 A Wire Ο Ω F Labels ✓ Values Battery Stopwatch AC Voltage 100 22 Voltage 0.67 V Voltmeter Ammeter Light Bulb 100.0 V 0022 Resistor Voltage Chart Current Chart HE CAPACITOR 10.20 F INDUCTOR Switch HE Tap circuit element to edit. Circuit Construction Kit: AC 1) PNET: AC Voltage RLC Lab

Data Table:

Time(s)	Voltage(V)
0	100.00
20	36.74
40	13.52
60	4.95
80	1.83
100	0.67

Graph(G2) :

Resistor voltage Vs time 120 100 80 Voltage (V) 60 40 20 0 0 20 40 60 80 100 t(s)

(3) Current Vs time:

Screenshot : Same as part(2)

Data Table:

Time(s)	Current(A)
0	1.00
20	0.37
40	0.14
60	0.05
80	0.018
100	0.007

Graph(G3) :

Current Vs time 1.2 1 0.8 Current(A) 0.6 0.4 0.2 0 0 20 40 60 80 100 t(s)