Wave Essays

Math and Music

Math and music are connected in many ways. Math is seen to be as very precise. Music is often seen as a way to express emotion. They are actually both very closely related together. Music is an expression of scales and notes that are strung together to make sound. Math is the subject of numbers and symbols used to write formulas and equations. At its foundation, music and math are related. In this essay, you will show that math and…

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Data Communications

Differentiate between an analog and a digital electromagnetic signal. What are three important characteristics of a periodic signal. What is the relationship between the wavelength and frequency of a sine wave. Define fundamental frequency. What is the relationship between a signal’s spectrum and its bandwidth. What is attenuation? Define channel capacity. What key factors affect channel capacity? Problems: Figure 1 shows the frequency domain function for a single square pulse. The signal pulse could represent a digital 1 in a…

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Rogue Waves

For centuries, mariners have spread stories about giant sudden waves which appeared out of nowhere without warning which were strong enough to capsize even the mightiest and largest ships. Several vessels—such as the S. S. Waratah, the M. S. Munchen, and the S. S. Edmund Fitzgerald—were all rumored to have been sunk by rogue waves (Walsh par. 3). Further, rogue waves have been blamed for ripping the bow off of a Norwegian freighter near the tip of South Africa in…

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Vave and Vrms Questions

1. A 25 ohm resistor has an average power of 400 watts. Determine the maximum value of the current if it is a (a) sinusoidal, (b) triangular. 2. Determine the effective value Vrms of the voltage function given by v(t) = 100+25 sin 3wt + 10 sin 5wt volts. 3. What average power results in a 25 ohm resistor when it passes a current i(t) = 2+3 sin wt +2 sin2wt + 1 sin 3wt amperes. 4. Calculate Irms if…

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