Physics Laboratory Manual Loyd Data and Calculations Table 2 V (V) tı (s) tz (s) tz (s) In(E/V) 7 (s) a(s) D 10 प 9 o 0.33 0.1 0.36 0.30 о во 067 6. 45 0.75 | lile 7.5 6 45 O. 673 loob 1 0.92 0.28 0.51 0.79 1.2 1.27 1-23 1,25 1.50 3 1.15 1.50 1. 73 1.95 15 1.25 1.89 1.66 1.87 2113 D 1.78 Zool 2 E= 10 V R= ΜΩ TE Intercept= Slope = s-1 RC= R= 12 Ru= Ω SAMPLE CALCULATIONS 1. Inſe/V)= 2. RC=1/slope= 3. C=RC/R= 4. R=R.C/C= 5. Ru=(R,R)/(R-R)= 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. show that RC has units of seconds if R is in S2 and C is in F. Laboratory 33 The RC Time Constant 337 3 4. A capacitor of 5.60 uF and a 4.57 MQ resistor form a series RC circuit. If the capacitor is initially charged to 25.0 V, how long does it take for the voltage on the capacitor to reach 10.0 V? Show your work. COPYRIGHT © 2008 Thomson Brooks/Cole Date Section Nam 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 £/R. 2. In a circuit such as the one in Figure 33-1 with the capacitor initially uncharged, the switch S is thrown to position A att=0. The current in the circuit is (a) initially zero and finally €/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 Vree -t/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? I= 5. 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 discharging? Q= I 6. If a 5.00 uF capacitor and a 3.50 MQ 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 333 334 Physics Laboratory Manual Loyd 7. Assume that a 10.0 uF capacitor, a battery of emf == 12.0V, and a voltmeter of 10.0 MS input impedance are used in a circuit such as that in Figure 33-2. The switch S is first closed, and then the switch is opened. What is the reading on the voltmeter 35.0 s after the switch is opened? Show your work. VE V 8. Assume that a circuit is constructed such as the one shown in Figure 33-3 with a capacitor of 5.00 uF, a battery of 24.0 V, a voltmeter of input impedance 12.0 M92, and a resistor Ru=10.0 M92. If the switch is first closed and then opened, what is the voltmeter reading 25.0 s after the switch is opened? Show your work. V= V 9. In the measurement of the voltage as a function of time performed in this laboratory, the voltage is measured at fixed time intervals. (a) true (b) false DAF next class Jue . The only data -Pre-Lab We collected was for - Post-Lab an unknown resistor. InCE/ DO NOT complete the unknown capacitor data! - Lab report -Graph of data In(e/v) x-axis: Aslope = RC y-axis Display the trendline that best fits the data Time * Read the intro and procedure for help with graph. creating the HFHS. s of 2013 {=10 Vo=10 In(8/6) = ln (1) 70
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