Thursday, September 17, 2015

RC CIRCUITS



RC CIRCUIT


                
                               http://goo.gl/6vOUIR
In the field of electronics, there are different types of circuit elements which are combined to produce desirable output to different gadgets and appliances. One of the combinations of the circuit elements is the RC circuit (resistor- capacitor circuit). RC circuit is known to be the combination of resistors and capacitors in a circuit. It would give the best output because it characterizes the function of resistor and capacitor. Resistors regulate the flow of current and voltage in the circuit while capacitor can store energy. This is the reason why when the two are combined they could give advantages in a circuit. When the resistance of resistors and the capacitance of capacitors are multiplied, the product is the time constant. It has a unit of second.
The formula representation is shown below.
                                                      
 
http://goo.gl/XMlImS

     As we all know, capacitors are charged and discharged. In RC circuits, it goes the same way.
The formula for the current in charging and discharging can be seen in the derivation.
                                                          

 
http://goo.gl/6oUk0K



For Charging
                                                                       
 
http://goo.gl/JGs80T






For discharging

                                                              
 
http://goo.gl/JGs80T


Applications of RC circuit
     RC circuits are widely applied to different devices because of its ability to control time. It is used as timers because it can charge and discharge at s specific rate of time. It can be used at home, automobiles, modernized doors, windows and many others. It is used in computers for timing.
Experimentation
 RESISTOR-CAPACITOR CIRCUIT
I. OBJECTIVES:
a. To develop an understanding for the behavior of RC circuit.
 b. To understand the concept of a time constant and use it to find the capacitance
 c. To be able to analyze non-linear data
 II. MATERIALS: Power Supply
 Alligator clips
3-way switch Resistors
Capacitor 

III. PROCEDURES:
1. Set-up the circuit as shown below.
2. Charge the capacitor for 20 seconds and take its voltage in every 5 seconds.
3. Set another 20 seconds to discharge it and take again its voltage in every 5 seconds.
4. Replace the 1800Ω resistor with 5600Ω.
5. Repeat procedures 2 and 3 but this time have 60 seconds instead of 20 seconds for charging and discharging.
 6. Record your data using a table and then graph. 


































































































































































IV. RESULTS & DISCUSSIONS:
RESULTS & DISCUSSIONS:

Table 1:

C = 4700µF
R= 1800Ω
Time (s)
Charging (V)
Discharging (V)
5
4.0
4.0
10
6.0
2.4
15
7.4
1.4
20
9.0
0.8

OBSERVATIONS:
      I observed that in charging, as time increases, the voltage increases while discharging is opposite.


Table 2:

C = 4700µF
R= 5600Ω
Time (s)
Charging (V)
Discharging (V)
5
1.6
6.4
10
2.8
5.4
15
3.8
4.6
20
4.6
3.8
25
5.5
3.2
30
6.0
2.6
35
6.5
2.2
40
6.8
1.9
45
7.2
1.6
50
7.5
1.3
55
7.7
1.1
60
7.9
0.9

OBSERVATIONS:
      I observed that increasing the time increases the charges in charging while discharging is in contrast.

V. Graph



Charging for 20 seconds :






x
y
5
0.81
10
0.41
15
0.2
20
0




 Discharging for 20 seconds :

x
y
5
0.59
10
0.31
15
0.17
20
0.09




Charging for 60 seconds:



x
y
5
1.6
10
1.04
15
0.73
20
0.54
25
0.38
30
0.28
35
0.2
40
0.15
45
0.1
50
0.05
55
0.03
60
0


 Discharging for 60 seconds:

x
y
5
1.66
10
1.15
15
0.87
20
0.66
25
0.52
30
0.4
35
0.33
40
0.28
45
0.23
50
0.18
55
0.15
60
0.12








GENERALIZATION:
            In general, combination of different circuit elements can trigger desirable output because their characteristics are combined to form a new one..




References
Retrieved on September 6, 2015 fromhttp://goo.gl/6vOUIR

Retrieved on September 6, 2015 from http://goo.gl/6oUk0K

Retrieved on September 6, 2015 fromhttp://goo.gl/JGs80

 Retrieved on September 6, 2015 from http://goo.gl/6oUk0K