Fourier Series
Explore the World of Fourier Series
Test your knowledge on Fourier series and its various properties with this engaging quiz. Whether you're a student, teacher, or just a curious learner, dive into the principles of periodic fun
Key Features:
- Multiple choice format
- Focus on Fourier coefficients and symmetries
- Ideal for learners and educators alike
A given function f(t) can be represented by a Fourier series if it
Is periodic
Is single valued
Has a finite number of maxima and minima in any one period
All of these
In a Fourier series expansion of a periodic function, the coefficient ao represents its
Net area per cycle
D.c. value
Average value over half cycle
Average a.c value per cycle
If in the Fourier series of a periodic function, the coefficient ao is zero, il means that the function has
Odd symmetry
Even quarter-wave symmetry
Odd quarter-wave symmetry
Any of these
A periodic function f (t) is said to possess odd quarter-wave symmetry if
A. f(t) = f(-t)
B. f(-t) = -f(t)
C. f(t) = -f(t + T/2)
D. both B and C
If the average value of a periodic function over one period is zero and it consists of only odd harmonics then it must be possessing symmetry.
Half-wave
Even quarter-wave
Odd quarter-wave
Odd
If in the Fourier series of a periodic function, the coefficient a - 0 and a, - 0, then it must be having symmetry.
A. odd
B. Odd quarter-wave
C. even
D. either A or B
In the case of a periodic function possessing half-wave symmetry, which Fourier coefficient is zero?
An
Bn
Ao
None of these
A periodic function has zero average value over a cycle and its Fourier series consists of only odd cosine terms. What is the symmetry possessed by this function.
Even
Odd
Even quarter-wave
Odd quarter-wave
Which of the following periodic function possesses even symmetry?
Cos 3t
Sin t
T cos 50t
(t + t^2 + t^5)
If the Fourier coefficient bn of a periodic function is zero, then it must possess symmetry.
A. even
B. Even quarter-wave
C. odd
Either A or B
A complex voltage waveform is given by V = 120 sin at + 36 sin (3wt + n/2) + 12 sin (5wt + n). It has a time period of T seconds. The percentage fifth harmonic contents in the waveform is
12
10
36
5
In the waveform given by V = 120 sin at + 36 sin (3wt + n/2) + 12 sin (5wt + n). , the phase displacement of the third harmonic represents a time interval of seconds.
T/12
T/3
3T
T/36
When the negative half-cycle of a complex waveform is reversed, it becomes identical to its positive half-cycle. This feature indicates that the complex waveform is composed of
A. fundamental
B. Odd harmonics
C. Even harmonics
Both A and B
A periodic waveform possessing half-wave symmetry has
Even harmonics
Odd harmonics
Sine terms
Cosine terms
The Fourier series of a wave form possessing even quarter-wave symmetry has only
A. Even harmonics
B. Odd cosine terms
C. Odd sine terms
Both B and C
The Fourier series of a waveform possessing odd quarter-wave symmetry contains only
Even harmonics
Odd cosine terms
Odd sine terms
None of these
{"name":"Fourier Series", "url":"https://www.quiz-maker.com/QPREVIEW","txt":"Test your knowledge on Fourier series and its various properties with this engaging quiz. Whether you're a student, teacher, or just a curious learner, dive into the principles of periodic functions and harmonic analysis. Each question is designed to challenge and enhance your understanding of this fundamental concept in mathematics and engineering.Key Features:Multiple choice formatFocus on Fourier coefficients and symmetriesIdeal for learners and educators alike","img":"https:/images/course1.png"}
More Surveys
Make your own Survey
- it's free to start.
- it's free to start.