- oldschoolLv 71 month ago
We know that at resonance the capacitive and inductive reactance cancel leaving only resistance
when ω² = 1/LC = 4π²f²
1/(L*4π²f²) = C =1/(3*4*3²*4000²) = 5.79e-10 <<<<<
- billrussell42Lv 71 month ago
π=3 ?? silly question ...
reminds me of:
Indiana House Bill #246. The most famous -- and only known – case of a state legislature in the US attempting to create by law a new value for pi was that of Indiana in 1897; it has become legendary, and the basis of myth and hoax.
to answer the question, you want the resonance point where Xc = Xʟ
2πfL = 1/(2πfC)
2πfC = 1/2πfL
C = 1/4π²f²L = 1/4π²(4000)²(3) = 5.3e-10 F
(using the correct value for π)