1
GATE EE 2014 Set 1
+1
-0.3
For a periodic square wave, which one of the following statements is TRUE?
A
The Fourier series coefficients do not exist
B
The Fourier series coefficients exist but the reconstruction converges at no point
C
The Fourier series coefficients exist and the reconstruction converges at most points.
D
The Fourier series coefficients exist and the reconstruction converges at every point
2
GATE EE 2011
+1
-0.3
The fourier series expansion $$f\left(t\right)\;=\;a_0\;+\;\sum_{n=1}^\infty a_n\cos\;n\omega t\;+\;b_n\sin\;n\omega t$$\$ of the periodic signal shown below will contain the following nonzero terms A
$$a_0\;and\;b_n\;,\;n=1,\;3,\;5,\;..............\infty$$
B
$$a_0\;and\;a_n\;,\;n=1,\;2,\;3,\;..............\infty$$
C
$$a_0\;,\;a_n\;and\;b_n\;,\;n=1,\;2,\;3,\;..............\infty$$
D
$$a_0\;and\;a_n\;,\;n=1,\;3,\;5,\;..............\infty$$
3
GATE EE 2010
+1
-0.3
The period of the signal $$x\left(t\right)=8\sin\left(0.8\mathrm{πt}+\frac{\mathrm\pi}4\right)$$ is
A
$$0.4\;\mathrm\pi\;\mathrm s$$
B
$$0.8\;\mathrm\pi\;\mathrm s$$
C
1.25 s
D
2.5 s
4
GATE EE 2010
+1
-0.3
The second harmonic component of the periodic waveform given in the figure has an amplitude of A
0
B
1
C
$$2/\mathrm\pi$$
D
$$\sqrt5$$
GATE EE Subjects
Electromagnetic Fields
Signals and Systems
Engineering Mathematics
General Aptitude
Power Electronics
Power System Analysis
Analog Electronics
Control Systems
Digital Electronics
Electrical Machines
Electric Circuits
Electrical and Electronics Measurement
EXAM MAP
Joint Entrance Examination