At what frequency would a 10H inductor have a reactance of 2000Ω?
Question 1 Report
At what frequency would a 10H inductor have a reactance of 2000Ω?
Answer Details
Reactance is the opposition to the flow of alternating current caused by capacitance or inductance in a circuit. The reactance of an inductor is directly proportional to the inductance and the frequency of the current passing through it. The formula for the reactance of an inductor is X = 2πfL, where X is the reactance in ohms, f is the frequency in hertz, and L is the inductance in henries.
To find the frequency at which a 10H inductor would have a reactance of 2000Ω, we can rearrange the formula to solve for f.
X = 2πfL
f = X/(2πL)
Substituting the given values, we get:
f = 2000/(2π × 10)
f = 100/π
Therefore, the frequency at which a 10H inductor would have a reactance of 2000Ω is 100/π Hz.
Answer: 100/πHz
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