A transmitting station transmits radiowaves of wavelength 360 m. Calculate the inductance of coil required with a condenser of capacity 1.20 μ F in the resonant circuit to receive them

Question

A transmitting station transmits radiowaves of wavelength 360 m. Calculate the inductance of coil required with a condenser of capacity 1.20 μ F in the resonant circuit to receive them (A) 3.07 × 10-8 H (B) 2.07 × 10-8 H (C) 4.07 × 10-8 H (D) 60.7 × 10-8 H

Tardigrade Admin · Accepted Answer

The frequency of radiowaves (speed c=3 × 108 m / s) transmitted f=(c/λ)=(3 × 108/360)=8.3 × 105 Hz Frequency of series resonant circuit f =(1/2 π √L C) or L =(1/(2 π f)2 C) =(1/(2 × 3.14 × 8.3 × 105)2 × 120 × 10-6) =3.07 × 10-8 H

Q. A transmitting station transmits radiowaves of wavelength $360 m$ . Calculate the inductance of coil required with a condenser of capacity $1.20 μ F$ in the resonant circuit to receive them

$3.07 \times 1 0^{- 8} H$

$2.07 \times 1 0^{- 8} H$

$4.07 \times 1 0^{- 8} H$

$60.7 \times 1 0^{- 8} H$

Q. A transmitting station transmits radiowaves of wavelength 360m. Calculate the inductance of coil required with a condenser of capacity 1.20μF in the resonant circuit to receive them

3.07×10−8H

2.07×10−8H

4.07×10−8H

60.7×10−8H

The frequency of radiowaves (speed c=3×108m/s) transmitted f=λc​=3603×108​=8.3×105Hz Frequency of series resonant circuit f=2πLC​1​ or L=(2πf)2C1​ =(2×3.14×8.3×105)2×120×10−61​ =3.07×10−8H

Q. A transmitting station transmits radiowaves of wavelength $360 m$ . Calculate the inductance of coil required with a condenser of capacity $1.20 μ F$ in the resonant circuit to receive them

$3.07 \times 1 0^{- 8} H$

$2.07 \times 1 0^{- 8} H$

$4.07 \times 1 0^{- 8} H$

$60.7 \times 1 0^{- 8} H$