Physics 9702 · AS & A Level · Characteristics of alternating currents

Characteristics of alternating currents — practice question

The carrier wave undergoes frequency modulation.
(a)[2]

Describe what frequency modulation means.

(b(i))[1]

Determine the amplitude of the frequency-modulated carrier wave.

(b(ii))[1]

Determine the minimum frequency of the frequency-modulated carrier wave.

(b(iii))[1]

Determine the maximum frequency of the frequency-modulated carrier wave.

(b(iv))[1]

Determine how many times per second the frequency changes from its minimum value to its maximum value and then back to the minimum value.

(b)

The sinusoidal carrier wave has a frequency of $750\,\text{kHz}$ and an amplitude of $5.0\,\text{V}$. A sinusoidal signal with frequency $7.5\,\text{kHz}$ and amplitude $1.5\,\text{V}$ frequency modulates the carrier wave. The frequency deviation of the carrier wave is $20\,\text{kHz V}^{-1}$. Determine, for the frequency-modulated carrier wave,

Worked solution & mark scheme

This 6-mark question has a full step-by-step worked solution and mark scheme. One marking point: The carrier frequency varies according to the displacement of the signal wave.

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