The instantaneous frequency of a sinusoid is given by: ƒ(t)= Aeßt Hz. (a) Given this expression for f(t), determine a general expression for y(t), the instantaneous phase in radians. Assume the phase for t=0 is to be zero. (b) If we require the instantaneous frequency f(t)= Aet to be 100 Hz at 10 and 800 Hz at t-2 seconds, what are the numerical values for A and for 3?

Power System Analysis and Design (MindTap Course List)
6th Edition
ISBN:9781305632134
Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Publisher:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Chapter2: Fundamentals
Section: Chapter Questions
Problem 2.2MCQ: If the rms phasor of a voltage is given by V=12060 volts, then the corresponding v(t) is given by...
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The instantaneous frequency of a sinusoid is given by: f(t)= Ae³¹ Hz.
Aeßt
(a) Given this expression for f(t), determine a general expression for y(t), the
instantaneous phase in radians. Assume the phase for t=0 is to be zero.
(b) If we require the instantaneous frequency f(t) = Aeßt to be 100 Hz at 10 and
800 Hz at t=2 seconds, what are the numerical values for A and for ß?
Transcribed Image Text:The instantaneous frequency of a sinusoid is given by: f(t)= Ae³¹ Hz. Aeßt (a) Given this expression for f(t), determine a general expression for y(t), the instantaneous phase in radians. Assume the phase for t=0 is to be zero. (b) If we require the instantaneous frequency f(t) = Aeßt to be 100 Hz at 10 and 800 Hz at t=2 seconds, what are the numerical values for A and for ß?
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