FIGURE 24-1
-Figure 24-1 shows a simple ac circuit composed of a capacitor connected across the terminals of an ac generator. If the frequency of the generator is doubled, what happens to the capacitive reactance of the capacitor?
A) It increases by a factor of 4.
B) It increases by a factor of 2.
C) It increases by a factor of .
D) It decreases by a factor of 2.
E) It decreases by a factor of 4.

Question

FIGURE 24-1 
-Figure 24-1 shows a simple ac circuit composed of a capacitor connected across the terminals of an ac generator. If the frequency of the generator is doubled, what happens to the capacitive reactance of the capacitor?
A) It increases by a factor of 4. 
B) It increases by a factor of 2. 
C) It increases by a factor of . 
D) It decreases by a factor of 2. 
E) It decreases by a factor of 4.

Quizplus · Accepted Answer

The capacitive reactance of a capacitor is given by Xc = 1/(2πfC). If the frequency (f) is doubled, the capacitive reactance is decreased by a factor of 2, according to the formula. Therefore, the correct answer is D, "It decreases by a factor of 2."

FIGURE 24-1 -Figure 24-1 Shows a Simple Ac Circuit Composed of a Composed