Concept explainers
For the sinusoidal waveform in Fig. 13.85:
a. What is the peak value?
b. What is the instantaneous value at 15 ms and at 20 ms?
c. What is the peak-to-peak value of the waveform?
d. What is the period of the waveform?
e. How many cycles are shown?
(a)
Peak value of sinusoidal signal.
Answer to Problem 1P
The peak value is
Explanation of Solution
Calculation:
Peak value is the maximum value of an alternating quantity over one cycle duration.
So peak value is
Conclusion:
Thus, peak value is
(b)
Instantaneous value at
Answer to Problem 1P
The Instantaneous value at
Explanation of Solution
Calculation:
Instantaneous value is the valueof an alternating quantity at a particular value of time in a cycle.
So Instantaneous value at
Conclusion:
Thus, Instantaneous value at
(c)
Peak-to-peak value of sinusoidal signal.
Answer to Problem 1P
The peak-to-peak value of sinusoidal signal is
Explanation of Solution
Calculation:
Peak to peak value is the difference in the value of positive peak and negative peak of a waveform.
Write the expression for peak to peak value.
Here,
Substitute
Conclusion:
Thus, Peak-to-peak value of sinusoidal signal is
(d)
Value of period of the waveform.
Answer to Problem 1P
The value of period of the wave form is
Explanation of Solution
Calculation:
Period is the time taken by a waveform to complete its one cycle.
Waveform completes its one cycle in
Conclusion:
Thus, value of period of the wave form is
(e)
Value of number of cycles.
Answer to Problem 1P
The value of total number of cycle is
Explanation of Solution
Calculation:
There is
Conclusion:
Thus, value of total number of cycle is
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Chapter 13 Solutions
Introductory Circuit Analysis (13th Edition)
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