Lab /AN

Case-B: Discharging capacitor
⦁ Set up the circuit as shown in figure 8.
⦁ Set the resistance to 100 Ω, capacitance to 0.05 F, and Battery to 10.0 V.
⦁ Before discharging the capacitor, make sure the capacitor has been fully charged (the voltmeter reading is very close to 10.0 V).
⦁ Set switch to off and switch to on.
⦁ Set the Pause/Play button (►) to pause, and the stopwatch to zero. For time less than 5 seconds, use the step button (|►) to increase time by 0.5 second intervals. Record the voltage values in Table 3. After 5 seconds, use the Pause/Play button (►/||) to record the voltage at about 10.0, 15.0, 20.0, and 25.0 seconds.
⦁ Using equation (5), obtain the charge at each time, and enter in Table 3.
⦁ Draw a graph between charge on y-axis and time on x-axis. It should look like Fig. 5.
⦁ Use the known values of resistance and capacitance to calculate the time constant and the maximum charge by using eqn. (2) and eqn. (3), and enter in Table 4.
⦁ Calculate the charges equal to one time constant, two time constants, and five time constants and enter in Table 4. Compare these with the experimental values using % error. Put your calculation in the table II.

Case-C: Capacitors in Series.
⦁ Set up the circuit as shown in figure 10.
⦁ Set the resistance to 100 Ω, each capacitance to 0.05 F, and Battery to 10.0 V.
⦁ Before charging the capacitor, make sure that it has no charge (the voltmeter reads zero). Otherwise you need to discharge the capacitor first until the voltage across the capacitor becomes zero.
⦁ Put switch S1 in the ON state and switch S2 to the OFF state.
⦁ Now calculate the value of the time constant by using the equation for sum of capacitors in series.
⦁ Start charging the capacitors and note the voltage difference across both capacitors. Note the time it takes for the voltage to reach 63.2 % of Vmax. This is the measured value of time constant. Note this in Table 5.
⦁ Now charge the capacitors to full charge, and by using proper switching, measure the time for the voltage across them to fall BY 63.2% of Vmax. This is the measured time constant for discharging the capacitors.
⦁ Compare the measured and calculated values of the time constant for capacitors in series.


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