Write an equation for the sine wave.

Question

The x axis is in milliseconds. The y axis is measured in volts. Make conversions to write the period in seconds.

Answer 1

The variable on the x axis is the time t. This is given to be in units of 10^-3 seconds. From the graph, the time period of the wave is roughly T = 4.5 * 10^-3 seconds. The function is the reflection of sine about the x axis, so it has to be of the form

V = -V₀ Sin((2* Pi / T) *t)

= -V₀ Sin(444*Pi*t) volts where V₀ is the height of the peak, which is roughly 0.5 in the figure.

So V = -0.5 Sin(444*Pi*t) volts.

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