Passage III
An RC circuit contains a resistor, a capacitor, and an input voltage source. Some students studied RC circuits containing a source of AC (alternating current) voltage. Frequency, in hertz (Hz), is related to the number of times/sec the highest voltage is attained. The measured input voltage from the AC source was the same in Studies 1-3.
Study 1
A circuit was assembled using a 1,000 Ω (ohm) resistor, a 1 microfarad capacitor (microfarad [μF] is a unit of capacitance), 2 voltmeters for measuring output voltages, and an AC input voltage source (see Figure 1).
The students varied the frequency of the input voltage and measured the output voltage, the voltage across the resistor or the capacitor. At each frequency, they calculated the gain, the ratio of the measured output voltage to the measured input voltage. The results are shown in Table 1.
Study 2
The students replaced the 1,000 Ω resistor with a 10,000 Ω resistor and repeated the procedure used in Study 1. The results are shown in Table 2.
Study 3
The students used a 10 μF capacitor and the 10,000 Ω resistor and repeated the procedure used in Study 1. The results are shown in Table 3.
15. In Study 3, compared to the gain across the capacitor, the gain across the resistor was:
Your Answer is
Correct Answer is A
Explanation
Looking at table 3, the gain across resistor is constant, both are 1.00;
The gain across capacitor is first 0.16 and 0.02, and then both are 0, so the gain across resistor is always bigger