An inductor with inductance L is connected to an AC power source having a peak value of 37.5 V and f = 911 Hz. If the reactance of the inductor is supposed to be 239.83 Ω, what value of L is needed? mH
Question
An inductor with inductance L is connected to an AC power source having a peak value of 37.5 V and f = 911 Hz. If the reactance of the inductor is supposed to be 239.83 Ω, what value of L is needed? mH
Solution
The reactance (X) of an inductor can be calculated using the formula:
X = 2πfL
where:
- X is the reactance (in ohms, Ω)
- f is the frequency (in hertz, Hz)
- L is the inductance (in henries, H)
We can rearrange this formula to solve for L:
L = X / (2πf)
Substituting the given values:
L = 239.83 Ω / (2π * 911 Hz)
This will give you the inductance in henries. To convert this to millihenries (mH), you multiply by 1000 (since 1 H = 1000 mH).
So, the final calculation is:
L = (239.83 Ω / (2π * 911 Hz)) * 1000 mH
Now you can calculate the value of L.
Similar Questions
Dominic and Zoey decide they are ready to try a homework problem.The AC circuit illustrated in the simulation contains an inductor with inductance L = 1.64 H and has a frequency of f = 1.37 Hz with an applied AC voltage whose maximum is ΔVmax = 2.24 V.Find the inductive reactance. ΩFind the rms current in the circuit. Your response differs from the correct answer by more than 10%. Double check your calculations. A
An inductor with inductance L = 25.9 mH is connected to an AC power source having a peak value of 46.9 V and f = 965 Hz. Find the maximum current in the circuit. (You may enter your calculation using scientific notation.) A
An AC circuit has an emf of 15.0cos(wt) V. There is also a 330. Ω resistor, a 5.10 nF capacitor a 0.0840 H inductor in the circuit. What is the value of the reactances XC and XL if the emf frequency is 2.30 kHz? XC = 1.36×104 Ω and XL = 1.21×103 Ω XC = 3.41×105 Ω and XL = 773 Ω XC = 2.71×104 Ω and XL = 2.43×103 Ω XC = 8.53×104 Ω and XL = 193 Ω
A capacitor with capacitance C = 4.29 ⋅ 10−6 F𝐶 = 4.29 · 10-6 F is connected to an AC power source having a peak value of 14.1 V and f = 151 Hz. Find the reactance of the capacitor. Ω Calculate the maximum current in the circuit. A
A V = 37.0 V power supply fully charges a capacitor with capacitance C = 1.03 µF. The capacitor is then connected to a L = 86.7 mH inductor. Find the maximum current (in A) in the resulting oscillations.
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.