Passage III
An electrical circuit contained a 12-volt (V) battery, a resistor (a device that resists the flow of electricity), a capacitor (a device that stores electrical charge and electrical energy), a voltmeter (an instrument for measuring voltage), and a switch, as shown in Figure 1.
Some students studied the behavior of the circuit.
Experiment 1
The students used a 1 × 107 ohm (Ω) resistor and a capacitor with a capacitance of 1 × 10–6 farad (F). (Capacitance is a measure of the maximum amount of electrical charge and electrical energy a capacitor can store.) The capacitor was initially uncharged. At time zero, the students simultaneously closed the switch and started a stopwatch. At time zero and at 12 sec intervals thereafter, they recorded the voltage across the capacitor. Their results are shown in Table 1.
Experiment 2
Using the 1 × 107 Ω resistor and several different capacitors, the students determined the length of time from when the switch was closed until the voltage across the capacitor reached 6 V. Their results are shown in Table 2.
Experiment 3
The students conducted the same procedure described in Experiment 2, except that they used a constant capacitance of 1 × 10–6 F and several different resistors. Their results are shown in Table 3.
19. Consider the following hypothesis: In a circuit arranged as in Figure 1 containing a battery, a capacitor, and a constant resistance, as capacitance increases, the time required to reach a given voltage across the capacitor increases. Do the experiments support this hypothesis?
Your Answer is
Correct Answer is B
Explanation
Looking at table 2 in Experiment 2, as the capacity increases, the time also increases, so the statement in the question stem is correct