Em Waves Question 148
Question: An LC resonant circuit contains a 4 pF capacitor and a 10 mH inductor. It is set into oscillation coupled to an instrument. The wavelength of the radiated electromagnetic waves is:
Options:
A) 355 cm
B) 377 m
C) 400 mm
D) 600 mm
Show Answer
Answer:
Correct Answer: B
Solution:
[b] $ v=\frac{1}{2\pi \sqrt{LC}} $
$ \lambda =\frac{C}{v}\Rightarrow \lambda =C\times 2\pi \sqrt{LC} $
$ \lambda =3\times 10^{8}\times 2\times 3.14\times \sqrt{10\times {{10}^{-3}}\times 4\times {{10}^{-12}}} $
$ =377m $