Question

Carrier frequency is given by the formula ________

(a) \(\frac{1}{2 \pi \sqrt{LC}}\)

(b) \(\frac{1}{2 \pi \sqrt{L}}\)

(c) \(\frac{1}{2 \pi \sqrt{C}}\)

(d) \(\frac{1}{\pi \sqrt{LC}}\)

The question was asked in a national level competition.

The doubt is from Average Power For Sinusoidal AM topic in chapter Amplitude Modulation of Analog Communications

Answer 1

The correct answer is (a) \(\frac{1}{2 \pi \sqrt{LC}}\)

Explanation: Carrier wave is a high frequency signal whose certain characteristics, like amplitude, phase and frequency, are varied with respect to the instantaneous amplitude of the baseband signal (message signal). This variation is called modulation. Carrier frequency is given by the formula, fc = \(\frac{1}{2 \pi \sqrt{LC}}\) where L is inductance and C is Capacitance.