Physics lab report

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Due next clas The only data we collected was for an unknown resistor. DO NOT complete the unknown capacitor data! -Pre-Lab - Post - Lab - Lab report - Graph of y-axis : Inl X-axis: t Display the that bes A Read the intro creating th ue next class: P Pre-Lab -Post - Lab -Lab report In(EM - Graph of data y-axis : In(/v) tor n y Time X-axis : t Display the trendline that best fits the data ☆ Read the intro and procedure for help with creating the graph . In(e/v Islope = RC Time a for help with е e dboratory Manual Loyd Data and Calculations Table 2 V (V) tı (s) tz (s) tz (s) In(E/V) (s) Oly (s) 10 D 9 33 o.1 0.36 067 7.5 6 0.28 O. 673 loob 0.51 45 1.25 O O, YB 0.75 lio 1.29 1166 1.87 2113 1 0.79 1.23 0.30 0 160 0.92 15 1.50 1.73 1.91 Mer= 3 1.2 1.95 1.50 1. 25 1.5 1.89 1.78 a 2 O Zool E= 10 V R= Intercept= Slope= s-1 RC= S R = Q | Ru= 22 SAMPLE CALCULATIONS 1. In(€/V) = 2. RC=1/slope = 3. C=RC/R= 4. R=R_C/C= 5. Ru=(R+R)/(R – Rt)= QUESTIONS 1. Evaluate the linearity of each of the graphs. Do they confirm the linear dependence between the two variables that is predicted by the theory? 2. Ask your instructor for the values of the unknown capacitor and resistor. Calculate the percentage error of your measurement compared to the values provided. On this basis, evaluate the accuracy of your measurement of the capacitance and resistance. Nome Section Date 33 LABORATORY 33 The RC Time Constant PRE - LABORATORY ASSIGNMENT 1. In a circuit such as the one in Figure 33-1 with the capacitor initially uncharged, the switch Sis thrown to position A at t=0. The charge on the capacitor (a) is initially zero and finally C€ (b) is constant at a value of C# (c) is initially Ce and finally zero (d) is always less than e/R. 2. In a circuit such as the one in Figure 33-1 with the capacitor initially uncharged, the switch Sis thrown to position A at t=0. The current in the circuit is (a) initially zero and finally e/R (b) constant at a value of e/R (c) equal to C€ (d) initially e/R and finally zero. 3. In a circuit such as the one in Figure 33-2 the switch S is first closed to charge the capacitor, and then it is opened at t=0. The expression V=eet/RC gives the value of (a) the voltage on the capacitor but not the voltmeter (b) the voltage on the voltmeter but not the capacitor (c) both the voltage on the capacitor and the voltage on the voltmeter, which are the same (d) the charge on the capacitor. 4. For a circuit such as the one in Figure 33-1, what are the equations for the charge Q and the current I as functions of time when the capacitor is charging? 0= 5. For a circuit such as the one in Figure 33-1, what are the equations for the charge and the current I as functions of time when the capacitor is discharging? 6. If a 5.00 uF capacitor and a 3.50 MA resistor form a series RC circuit, what is the RC time constant? Give proper units for RC and show your work. RC = COPYRIGHT © 2008 Thomson Brooks/Cole 333
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Explanation & Answer

Here's your report. :) good luck!

Experiment No. 4:

The RC Time Constant

Name
Morgan State University Department of Physics
October 3, 2017

Introduction
Resistor-Capacitor (RC) circuit is a circuit that contains both a capacitor (C) and a resistor
(R) in series with a voltage source of emf (ε) (1). Aside from being a common element in electronic
device, RC circuits also play an important role in the electrical signal transmission in brain cells
(2).
Consider the simple RC circuit diagram in Figure 1 below.

Figure 1. Simple RC circuit
Once the circuit is closed, the charge and voltage of the capacitor, which is initially zero, increases
exponentially with time until the charge, Q, is equal to Cε and voltage, VC, becomes equal to ε.
The charging of the capacitor can then be described by equation 1:
𝑡

𝑄 = 𝐶𝜀 (1 − 𝑒 −𝑅𝐶 )

(Equation 1)

The parameter RC can be referred to as the time constant of the circuit and is expressed in terms
of seconds. This time constant RC is used to indicate how fast a capacitor can reach approximately
two-thirds of its capacity. When the time is much greater than RC, the capacitor is fully charged
and its Q is equal to Cε and its VC is equal to ε.
Once the voltage source of a circuit with a fully-charged capacitor was removed, the capacitor
immediately begins to discharge through the resistor, the discharging process of the capacitor can
then be described as follows:
𝑡

𝑄 = 𝐶𝜀𝑒 −𝑅𝐶

(Equation 2)

When the time is equal to the time constant RC, approximately only a third of the original charge
of the capacitor remains. Once the time is comparatively ...


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