Knowing how to analyze circuits with sinusoidal sources is an important skill, a
ID: 1804972 • Letter: K
Question
Knowing how to analyze circuits with sinusoidal sources is an important skill, as most power is generated, transmitted, and delivered in a form that can be described mathematically using sinusoids. Here you will consider the circuit shown below, whose voltage source produces a time-varying waveform given as v(t) = 50cos(2000t - 45 degrees) mV.
Part A -Find the amplitude of the voltage source
The amplitude, or magnitude, of a sinusoidal source is the maximum value of the source. What is the amplitude of the voltage source described asv(t) = 50cos(2000t - 45 degrees) mV.
Part B -Find the frequency, in radians/second, of the voltage source
What is the frequency, in radians/second, of the voltage source described asv(t) = 50cos(2000t - 45 degrees) mV?
Part C -Find the frequency, in hertz, of the voltage source
What is the frequency, in hertz, of the voltage source described asv(t) = 50cos(2000t - 45 degrees) mV?
Part D -Find the period of the voltage source
What is the period of the voltage source described asv(t) = 50cos(2000t - 45 degrees) mV?
Part E -Find the phase angle of the voltage source, in degrees
Part F -Find the value of the voltage source att= 392.7 ?s
Part G -Construct a cosine function to represent a plot of a sinusoid
Explanation / Answer
(f) 50mV
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