Question
Download Solution PDFA Lissajous patterns on a Cathode Ray Oscilloscope (CRO) has 8 vertical maximum values and 4 horizontal maximum values. The frequency of the horizontal input is 1600 Hz. Determine the frequency of the vertical input?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
Lissajous patterns on a CRO are used to determine the frequency ratio of two sinusoidal signals. The ratio of frequencies is given by:
\( \frac{f_y}{f_x} = \frac{\text{Number of vertical tangencies}}{\text{Number of horizontal tangencies}} \)
Given
Number of vertical maximum values = 8
Number of horizontal maximum values = 4
Horizontal frequency (\( f_x \)) = 1600 Hz
Calculation
\( \frac{f_y}{1600} = \frac{8}{4} = 2 \)
\( f_y = 2 \times 1600 = 3200\ \text{Hz} \)
However, the number of vertical loops (or vertical maxima) is **8**, and horizontal is **4**, so:
\( \frac{f_x}{f_y} = \frac{8}{4} = 2 \Rightarrow f_y = \frac{f_x}{2} = \frac{1600}{2} = 800\ \text{Hz} \)
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Last updated on Jun 16, 2025
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