Question
At what frequency would a 0•5H inductor have a reactance of 1000 ohms
Answers
GPT 3.5
The reactance of an inductor is given by the formula Xl = 2pi*f*L, where Xl is the reactance in ohms, f is the frequency in hertz, and L is the inductance in henries.
In this case, we have Xl = 1000 ohms and L = 0.5 H.
Substituting these values into the formula, we get:
1000 = 2pi*f*0.5
Simplifying the equation, we have:
f = 1000 / (2pi*0.5)
f = 1000 / pi
Therefore, the frequency at which a 0.5H inductor would have a reactance of 1000 ohms is approximately 318.31 Hz (rounded to two decimal places).
In this case, we have Xl = 1000 ohms and L = 0.5 H.
Substituting these values into the formula, we get:
1000 = 2pi*f*0.5
Simplifying the equation, we have:
f = 1000 / (2pi*0.5)
f = 1000 / pi
Therefore, the frequency at which a 0.5H inductor would have a reactance of 1000 ohms is approximately 318.31 Hz (rounded to two decimal places).