Physics Multiple Circuits Assignment

Task 3

PART 1

Your company produces radio transmitters and part of that circuit uses a ring modulator to multiply a high frequency sinusoidal carrier signal with a much lower frequency audio signal to transmit over long distances using amplitude modulation, (AM).

The ring modulator circuit works by multiplying together the 125 kHz carrier signal, V, and the 10 kHz audio signal, V., to produce the transmitted modulated signal output, V. The two signals and the output from the ring modulator are described as follows:

Use one of the graphical packages listed at the beginning of this assignment to plot V, V, and V, and include a screenshot of your plot as part of your submission. Ensure the scale of both axes is carefully chosen to clearly show the detail of all 3 waveforms. If you drew a smooth curve linking the peaks of the positive half cycles of the output waveform, Vo, which is called the envelope of the waveform, what can you observe about that curve?

PART 2

Using the information contained in Section 2.3 of Workbook 2 on Trigonometric Identities, develop an alternative expression for Vo, to show that the output from the multiplier circuit comprises frequency components at 115 kHz, 125 kHz, and 135 kHz.

Subsequently, plot your alternative mathematical expansion to demonstrate that the two versions of the output signal, V., from Part 1 and Part 2, are identical.

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