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  4. An LC circuit contains inductance L=1 μ H and capacitance C=0.01 μ F. The wavelength of electromagnetic wave generated is nearly

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Q. An LC circuit contains inductance $L=1\, \mu H$ and capacitance $C=0.01\, \mu F$. The wavelength of electromagnetic wave generated is nearly

Electromagnetic Waves

Solution:

$v=\frac{1}{2 \pi \sqrt{L C}}$
$\lambda=\frac{c}{v}=c \cdot 2 \pi \sqrt{L C}$
$=3 \times 10^{8} \times 2 \pi \sqrt{1 \times 10^{-6} \times 0.01 \times 10^{-6}}$
$=3 \times 10^{8} \times 2 \times 3.14 \times 10^{-7}$
$=188.4\, m$