An L-C resonant circuit contains a 400 pF capacitor and a 100 μ H inductor. It is set into oscillation coupled to an antenna. The wavelength of the radiated electromagnetic waves is

Question

An L-C resonant circuit contains a 400 pF capacitor and a 100 μ H inductor. It is set into oscillation coupled to an antenna. The wavelength of the radiated electromagnetic waves is (A) 377 mm (B) 377 m (C) 377cm (D) 3.77cm

Tardigrade Admin · Accepted Answer

Frequency of radiated electromagnetic waves v=(1/2π √LC) =(1/2π √100× 10-6× 400× 10-12)=(107/4π )Hz ∴ Wavelength, λ =(c/v) =(3× 108/107/4π ) =120π ≃ 377 m

Q. An $L - C$ resonant circuit contains a 400 pF capacitor and a $100 μ H$ inductor. It is set into oscillation coupled to an antenna. The wavelength of the radiated electromagnetic waves is

377 mm

377 m

377cm

3.77cm

Frequency of radiated electromagnetic waves $v = \frac{1}{2 π L C}$ $= \frac{1}{2 π 100 \times 10 ^{- 6} \times 400 \times 10 ^{- 12}} = \frac{10 ^{7}}{4 π} Hz$ $∴$ Wavelength, $λ = \frac{c}{v}$ $= \frac{3 \times 10 ^{8}}{10 ^{7} /4 π}$ $= 120 π$ $≃ 377 m$

Q. An L−C resonant circuit contains a 400 pF capacitor and a 100μH inductor. It is set into oscillation coupled to an antenna. The wavelength of the radiated electromagnetic waves is