What is the effect of increasing the frequency of the alternating current in an inductor?
Practice Questions
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Q1
What is the effect of increasing the frequency of the alternating current in an inductor?
Inductive reactance decreases
Inductive reactance increases
Inductive reactance remains constant
Inductive reactance becomes zero
Inductive reactance (XL) is given by the formula XL = 2πfL, where f is the frequency. Thus, increasing frequency increases inductive reactance.
Questions & Step-by-step Solutions
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Q
Q: What is the effect of increasing the frequency of the alternating current in an inductor?
Solution: Inductive reactance (XL) is given by the formula XL = 2πfL, where f is the frequency. Thus, increasing frequency increases inductive reactance.
Steps: 6
Step 1: Understand what an inductor is. An inductor is a component that stores energy in a magnetic field when electric current flows through it.
Step 2: Know that alternating current (AC) changes direction periodically. The frequency (f) is how many times it changes direction in one second.
Step 3: Learn about inductive reactance (XL). This is the opposition that an inductor offers to the flow of AC. It depends on both the frequency and the inductance of the inductor.
Step 4: Remember the formula for inductive reactance: XL = 2πfL. Here, 'L' is the inductance and 'f' is the frequency.
Step 5: Realize that if you increase the frequency (f), the value of XL (inductive reactance) will also increase because they are directly related in the formula.
Step 6: Conclude that increasing the frequency of the AC in an inductor results in higher inductive reactance, which means the inductor will oppose the current flow more.