A transmitting station releases waves of wavelength 960 m. A capacitor of 256 μ F is used in the resonant circuit. The self inductance of coil necessary for resonance is × 10- 8H.

Question

A transmitting station releases waves of wavelength 960 m. A capacitor of 256 μ F is used in the resonant circuit. The self inductance of coil necessary for resonance is × 10- 8H. (A)  (B)  (C)  (D)

Tardigrade Admin · Accepted Answer

Since resonance ω r=(1/√LC) ∴ 2π f=(1/√LC) ∴ 4π 2(c2/λ 2)=(1/LC) ∴ (4 π 2 × 9 × 1016/960 × 960)=(1/ L × 2 . 56 × 10- 6) =(375 × 960/10- 6 × 4 × π 2 × 9 × 1016)=(103/1010) =10- 7H =10× 10- 8

Q. A transmitting station releases waves of wavelength 960m. A capacitor of 256μF is used in the resonant circuit. The self inductance of coil necessary for resonance is ×10−8H.

Since resonance ωr​=LC​1​ ∴2πf=LC​1​ ∴4π2λ2c2​=LC1​ ∴960×9604π2×9×1016​=L×2.56×10−61​ =10−6×4×π2×9×1016375×960​=1010103​ =10−7H =10×10−8

Q. A transmitting station releases waves of wavelength $960 m .$ A capacitor of $256 μ F$ is used in the resonant circuit. The self inductance of coil necessary for resonance is $\times 1 0^{- 8} H .$