What is the effect of increasing frequency on the reactance of a capacitor?
Practice Questions
1 question
Q1
What is the effect of increasing frequency on the reactance of a capacitor?
Reactance increases
Reactance decreases
Reactance remains constant
Reactance becomes zero
The reactance (Xc) of a capacitor decreases with increasing frequency, calculated as Xc = 1 / (2πfC), where f is the frequency and C is the capacitance.
Questions & Step-by-step Solutions
1 item
Q
Q: What is the effect of increasing frequency on the reactance of a capacitor?
Solution: The reactance (Xc) of a capacitor decreases with increasing frequency, calculated as Xc = 1 / (2πfC), where f is the frequency and C is the capacitance.
Steps: 5
Step 1: Understand what reactance is. Reactance is a measure of how much a capacitor resists the flow of alternating current (AC).
Step 2: Know the formula for reactance of a capacitor: Xc = 1 / (2πfC). Here, Xc is the reactance, f is the frequency, and C is the capacitance.
Step 3: Identify the relationship between frequency and reactance. In the formula, as frequency (f) increases, the value of Xc decreases.
Step 4: Realize that this means that at higher frequencies, the capacitor allows more current to pass through because it resists less.
Step 5: Conclude that increasing the frequency of the AC signal results in a decrease in the reactance of the capacitor.
