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
Want to see more full solutions like this?
Chapter 13 Solutions
Introductory Circuit Analysis (13th Edition)
- The peak distance of a sinusoidal waveform displayed on a C.R.O. screen is 11 cm and the 'volts/cm' switch is on 38 V/cm. The peak to peak voltage is given by O 3.45 V 295.53 V 836.00 V O 209.00 Varrow_forwardIf the waveform of a voltage has a Form Factor of 1.15 and a Peak Factor of 1.5, and if the peak value is 4.5kV, calculate the average and the r.m.s. values of the voltage.arrow_forward1. A Sinusoidal current has an rms value of 5mA. Determine the following values. 1) Peak 2) Average 3) Peak to Peakarrow_forward
- b) Determine the voltage ?(?) and current ?(?) sinusoidal forms. Sketch one cycle of the waveforms in the same x-axis. Clearly indicating the peak value and the period of each waveform and the phase difference (in milliseconds) between the two waveforms. c) Determine the values of resistance R and inductance L. d) Determine the phasors ?L, ?r and ?c. e) Sketch the phasor diagram showing ?s, ?r, ?r, ?c and ?.arrow_forwardWhen measured by an analog meter, a sinusoidal voltage shows a reading of 100 Vrms. What is the amplitude of the voltage source? A 140 V B) 141 V c) 142 V D 143 Varrow_forwardFind the ff: a. Peak Value b. Instantaneous Value at 15ms and 20ms c. Peak-to-Peak Value d. Period of the Waveform e. How many cycles are shown?arrow_forward
- 1. A 70-Vac source has the following waveform. Determine: a. Vpk b. Vpk-pk Vrms h. equation of the waveform (in time domain) i. the instantaneous voltage when t = 120 ms j. the angle (1st occurrence) aftert = 0 when the C. voltage is +80 V k. the time (2nd occurrence) after t = 0 when the voltage is -10 V d. Period e. Frequency f. Angular Velocity g. Phase Angle 180 V -50 msarrow_forwardThe peak to peak distance of a sinusoidal waveform displayed on a C.R.O. screen is 7 cm and the 'volts/cm' switch is on 27 V/cm. The peak voltage is given by 3.86 V O 189.00 V O 94.50 V O 133.62 Varrow_forwardFor the second and fourth resistor, does the alternation of each waveform synchronized (means that if the first wave is in its positive alternation, the second wave is also in its positive alternation)? please explainarrow_forward
- Determine the power and the rms value for each of the following signals:arrow_forwardA Red, Voltage 2V A Blue, Current 2mA 10 time Determine the period of the waveforms Determine the frequency of the waveform For the voltage waveform, determine its phase For the current waveform, determine its phase Write an equation for both the current and voltage waveforms, including their magnitude and phasearrow_forward3. For the sinusoidal waveform shown in Figure, determine (a) Time period, (b) its frequency, (c) peak- to-peak voltage, (d) average voltage and (e) r.m.s. voltage. 2!05 02 Sms 100 us 50 ma 500 msarrow_forward
- Introductory Circuit Analysis (13th Edition)Electrical EngineeringISBN:9780133923605Author:Robert L. BoylestadPublisher:PEARSONDelmar's Standard Textbook Of ElectricityElectrical EngineeringISBN:9781337900348Author:Stephen L. HermanPublisher:Cengage LearningProgrammable Logic ControllersElectrical EngineeringISBN:9780073373843Author:Frank D. PetruzellaPublisher:McGraw-Hill Education
- Fundamentals of Electric CircuitsElectrical EngineeringISBN:9780078028229Author:Charles K Alexander, Matthew SadikuPublisher:McGraw-Hill EducationElectric Circuits. (11th Edition)Electrical EngineeringISBN:9780134746968Author:James W. Nilsson, Susan RiedelPublisher:PEARSONEngineering ElectromagneticsElectrical EngineeringISBN:9780078028151Author:Hayt, William H. (william Hart), Jr, BUCK, John A.Publisher:Mcgraw-hill Education,