lab report

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Laboratory Report on RC Time Constants

Student’s Name

Professor’s Name

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Date

Abstract:

A resistor-capacitor (RC) circuit or RC line or RC organization is an electrical circuit consisting of a resistor and a capacitor. These can be driven very well by voltage or current sources, and they will produce different responses. This experiment seeks to examine how RC circuits can be used to transmit signals by jamming at certain frequencies and across other frequencies. RC circuits can be used to transmit signals by jamming at certain frequencies and across other frequencies. The two most normal RC channels are high-frequency and low-frequency channels; Band channels and band termination channels usually require RLC channels, but unrefined channels can be created with RC channels.

Objectives:

The experiment aimed to focus on the RC circuit and measure the time constant for the main RC circuit.

Background Theory:

When showing the possible electrical contrast V between the two terminals of a capacitor of capacitance C, the two terminals accumulate charges of opposite sign but equal magnitude, q = V/C. In a romantic situation for a fully isolated capacitor, this changes q as soon as V changes. One can charge or discharge the capacitor immediately! Practically speaking, you can never test on a single capacitor. Also, isolated capacitors are not very useful.

Now consider a large RC circuit (Figure 1) consisting of a capacitor with capacitance C and a resistor with resistance R. Due to resistance, the current (I) in the circuit cannot be infinitely large. Thus, the capacitor discharge/charge is not instantaneous (Wilson & Hernández-Hall, 2014). At such a voltage, a larger R results in a simpler I and a longer discharge/charge time in that direction. To change the voltage across the capacitor by the same degree, a larger C causes a larger difference in q and therefore a longer discharge/charge time. Therefore, a larger R or C requires more series time for the RC chain. Such a connetion makes stable weather a controlled and useful frontier. I tried to shorten too long.

Some of the useful equation for RC time constants are:

𝑉𝑐 =𝑄/C

𝐼(𝑡)𝑅 = 𝑉𝑐(𝑡)

𝑄(𝑡)= 𝑄0𝑒^−𝑡/RC

𝐼(𝑡)= 𝐼0𝑒^−t/ RC

(𝑑𝑖𝑠𝑐ℎ𝑎𝑟𝑔𝑖𝑛𝑔): 𝑉𝑐(𝑡)= 𝑉o𝑒^−𝑡/RC

(𝑐ℎ𝑎𝑟𝑔𝑖𝑛𝑔): 𝑉𝑐(𝑡)= 𝑉𝑆(1−𝑒^−𝑡/𝑅𝐶)

(𝑐ℎ𝑎𝑟𝑔𝑖𝑛𝑔): 𝐼(𝑡)= 𝑉𝑆/R e^-t/RC

Experimental Procedure:

1. Set up the RC circuit with R=100 Ω (Figure 2(a))

Connect the shift lead S1 (charge) S1 to the positive battery lead (approximately 3.0V) charging as DC power supply, and connect the switching lead S2 (discharge) to the battery ground wire. Warning: above 5.00 V, the capacitor dissolves.

Connect the center wire SO of the double throw change to the positive pole of the ammeter, connect the unfavorable pole of the ammeter to the positive pole of the 1.0 F capacitor and connect the negative pole of the capacitor to the open wire of one of the two 100ω resistors (Wilson & Hernández-Hall, 2014). Another resistor wire is connected to S2 and through this wire goes to battery ground.

Finally, connect the voltmeter and capacitor according to the correct polarity. Ask your vet to thoroughly check the circuit.

Charge the capacitor connected to the 100Ω resistor

Set correct ammeter and voltmeter awareness.

One backup looks at the clock and the other at the ammeter and voltmeter and records the readings in Table below. When finished, start the clock at t=0 and reverse the double change from S0 to S1. This starts the loading system.

TABLE 1: Charging capacitor connected to R = 100ω

t (s)	I (A)	V	t (s)	I (A)	V
		(V)			(V)
5	25.2	0.29	210	3.0	2.70
30	19.6	0.98	250	2.3	2.78
60	14	1.55	300	1.4	2.87
90	10	1.96	350	0.9	2.92
120	7.2	2.25	400	0.6	2.95
150	5.3	2.46	500	0.3	2.98
180	4.0	2.59	600	.2	3

3. Disconnect the capacitor connected to the 100Ω resistor

Hold for another 2 minutes. Again, one backup will check the clock and the other the voltmeter and record the readings in Table 2. Now that you are ready, start the clock at t=0 and simultaneously reverse the doubled change in S2. This will start the release system.

TABLE 2 Discharge of the capacitor connected to R = 100ω

t (s)	V	t (s)	V
	(V)		(V)
5	2.7	210	0.29
30	2.06	250	0.19
60	1.48	300	0.12
90	1.03	350	0.08
120	0.74	400	0.05
150	0.54	500	0.02
180	0.39	600	0.01

4. Set the RC circuit with R=50 (Figure 2(b))

Change step 1 unless you replace R=100Ω with R=50Ω (by connecting two 100Ω resistors evenly) and remove the ammeter from the circuit. Ask your vet to take a close look at the circuit.

5. Charge the capacitor connected to the 50Ω resistor

One backup will check the clock and the other the voltmeter and record the readings in Table 3. Now that you are ready, start the clock at t=0 and reverse the change in double step S1 all the time. This starts the loading system.

TABLE 3 Charging the capacitor connected to R = 50

t (s)	V	t (s)	V
	(V)		(V)
5	0.42	105	2.75
15	0.98	120	2.82
30	1.6	135	2.87
45	2.02	150	2.91
60	2.33	180	2.95
75	2.52	210	2.98
90	2.64	250	3.0

Data and Graphs

1. Charging the RC circuit to R = 100

Using Table 1, draw VC-versus-t and install the bend according to equation (5) VC(t) A (1 e Bt) with assembly limits A V0 and B 1 / RC.

Using Table 1, plot I-versus-t and consider bending according to Equation (3′) I(t)

Ae with adjacent boundaries A V0/R and B 1/RC.

Notice assembled V0/R = 26.6/100 ohms = 0.266 01 = RC = 94.46

2. Discharging the RC element with R = 100

Using Table 2, draw a graph of VC - versus t and adjust the deflection according to Equatio; VC(t) Ae Bt with installation limitations A V0 and B 1 / RC.

Note assembly 01 = RC = 90.3

3. Loading RC circuit for R = 50

Using Table 3, draw VC-versus-t and assemble the bend according to Equation (5).

VC(t) A(1 e Bt) with adjacent boundaries A V0 and B 1/RC.

Note assembly 02 = RC = 39.2

Results conclusion

The information obtained is very broad because it is still within normal limits. When the capacitor is charged, the voltage increases dramatically in 600 seconds and rises to the ends. On release the opposite occurs, there is a dramatic reduction from the start and smoothing towards the end. This level indicates that the battery is fully charged or empty. At the point where the resistance is lower, the battery can be charged faster as shown in Table 3. This shows that if we assume that there is a higher R or C, the steady time of the RC circuit will also be greater. Most likely the error in this lab may be due to human error. Result and conclusion is separate

Reference

Wilson, J. D., & Hernández-Hall, C. A. (2014). Physics laboratory experiments. Cengage Learning.

The graph I got for discharging. I do not understand how you got 4 graphs there should be 2 graph one for charging and one for discharging according to my table