Question

An LC resonant circuit contains a capacitor $400pF$ and an inductor $100\mu H$. It is set into oscillations coupled to an antenna. Calculate the wavelength of the radiated electromagnetic wave.

• A. $377mm$
• B. $377cm$
• C. $377m$
• D. $3.77cm$

Answer 1

The correct option is C $377m$

Wavelength $=\lambda =\frac{Velocity}{Frequency}$

Frequency of the Resonating LC circuit = $\frac{1}{2\pi \times \sqrt{LC}}$

$⟹Wavelength=C\times 2\pi \times \sqrt{LC}$

$=3\times {10}^8\times 2\times 3.14\times \sqrt{100\times {10}^{-6}\times 400\times {10}^{-12}}$
$=376.8m$