9. What is the result of increasing the frequency of the applied voltage to a capacitor? A. Decreased capacitive reactance. B. Decreased current flow. C. Increased capacitive reactance. D. Increased voltage.
9. What is the result of increasing the frequency of the applied voltage to a capacitor? A. Decreased capacitive reactance. B. Decreased current flow. C. Increased capacitive reactance. D. Increased voltage.
Introductory Circuit Analysis (13th Edition)
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ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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![### Question 9
**What is the result of increasing the frequency of the applied voltage to a capacitor?**
A. Decreased capacitive reactance.
B. Decreased current flow.
C. Increased capacitive reactance.
D. Increased voltage.
---
This question focuses on the behavior of a capacitor in an AC circuit when the frequency of the applied voltage is increased. Capacitive reactance (\(X_C\)) is inversely proportional to the frequency (\(f\)) of the applied voltage, which means that as the frequency increases, the capacitive reactance decreases.
\[ X_C = \frac{1}{2 \pi f C} \]
Where:
- \(X_C\) is the capacitive reactance
- \(f\) is the frequency
- \(C\) is the capacitance
Understanding this relationship is crucial in the study of AC circuits as capacitors play a significant role in filtering and tuning applications. Increasing the frequency will result in a lower reactance, thus allowing more current to flow through the capacitor.
Therefore, the correct answer is:
**A. Decreased capacitive reactance.**](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F02026046-f334-4297-9417-2971e130f16a%2Fbbea8d12-2b8f-4e26-8aa0-785e850d7801%2F84rvat_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Question 9
**What is the result of increasing the frequency of the applied voltage to a capacitor?**
A. Decreased capacitive reactance.
B. Decreased current flow.
C. Increased capacitive reactance.
D. Increased voltage.
---
This question focuses on the behavior of a capacitor in an AC circuit when the frequency of the applied voltage is increased. Capacitive reactance (\(X_C\)) is inversely proportional to the frequency (\(f\)) of the applied voltage, which means that as the frequency increases, the capacitive reactance decreases.
\[ X_C = \frac{1}{2 \pi f C} \]
Where:
- \(X_C\) is the capacitive reactance
- \(f\) is the frequency
- \(C\) is the capacitance
Understanding this relationship is crucial in the study of AC circuits as capacitors play a significant role in filtering and tuning applications. Increasing the frequency will result in a lower reactance, thus allowing more current to flow through the capacitor.
Therefore, the correct answer is:
**A. Decreased capacitive reactance.**
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