Answer:
L = 100.24 mH
Explanation:
Given that
V= 11.5 V
I= 0.62 A
V(rms) = 24 V
f= 60 Hz
I(rms) = 0.57 A
resistance R
V= I R
11.5 = 0.62 R
R= 18.54 ohm
impedance Z given
V(rms) = I(rms) Z
24 = 0.57 Z ,Z= 42.10 ohm
inductor impedance [tex]X_L[/tex]
[tex]X_L=\sqrt{Z^2-R^2}[/tex]
[tex]X_L=\sqrt{42.10^2-18.54^2}[/tex]
[tex]X_L=37.79[/tex]
[tex]X_L=2\pi f L[/tex]
[tex]L=\dfrac{X_L}{2\pi f}[/tex]
[tex]L=\dfrac{37.79}{2\pi \times 60}[/tex]
L= 0.10024 H
L = 100.24 mH
This is the inductance .
