What is the effect of increasing the frequency on the impedance of an inductor?
Practice Questions
1 question
Q1
What is the effect of increasing the frequency on the impedance of an inductor?
Increases
Decreases
Remains the same
Becomes zero
The impedance of an inductor (Z_L) increases with frequency, as Z_L = jωL, where ω = 2πf.
Questions & Step-by-step Solutions
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Q
Q: What is the effect of increasing the frequency on the impedance of an inductor?
Solution: The impedance of an inductor (Z_L) increases with frequency, as Z_L = jωL, where ω = 2πf.
Steps: 7
Step 1: Understand what impedance is. Impedance (Z) is a measure of how much a circuit resists the flow of electric current.
Step 2: Know that an inductor is a component that stores energy in a magnetic field when electric current flows through it.
Step 3: Learn the formula for the impedance of an inductor: Z_L = jωL, where 'j' is the imaginary unit, 'ω' is the angular frequency, and 'L' is the inductance.
Step 4: Recognize that angular frequency (ω) is calculated as ω = 2πf, where 'f' is the frequency in hertz (Hz).
Step 5: Notice that as the frequency (f) increases, the angular frequency (ω) also increases because they are directly related.
Step 6: Since the impedance formula Z_L = jωL includes ω, an increase in frequency leads to an increase in Z_L.
Step 7: Conclude that the impedance of an inductor increases as the frequency increases.