The carrier frequency of a transmitter is provided by a tank circuit of a coil of inductance 49 H and a capactiance of 2.5 nF . It is modulated by an audio signal of 12 kHz . The frequency range occupied by the side bands is:

Step-by-step solution

Given: Inductance, L=49 H =49 10⁻⁶ H , capacitance C=2.5 nF =2.5 10⁻⁹ ~F aligned & Using = 1 L C &= 1 49 10⁻⁶ 2.5 10 10⁻⁹ &= 1 7 5 10⁻⁸ = 10^8 7 5 & or, 10^8 7 5 =2 f=2 22 7 f & or, f= 10^7 22 = 10^4 22 kHz =454.54 kHz aligned Therefore frequency range 454.54 12 kHz i.e., 442 kHz -466 kHz