For the circuit given in the figure, the magnitude of the loop current (in amperes, correct to
three decimal places) 0.5 second after closing the switch is _______.
Your input ____
2
GATE ECE 2018
MCQ (Single Correct Answer)
+2
-0.67
For the circuit given in the figure, the voltage
VC
(in volts) across the capacitor is :
A
1.25$$\sqrt 2 $$ sin(5t - 0.25$$\pi $$)
B
1.25$$\sqrt 2 $$ sin(5t - 0.125$$\pi $$)
C
2.5$$\sqrt 2 $$ sin(5t - 0.25$$\pi $$)
D
2.5$$\sqrt 2 $$ sin(5t - 0.125$$\pi $$)
3
GATE ECE 2018
MCQ (Single Correct Answer)
+1
-0.33
Let 𝑥(𝑡) be a periodic function with period 𝑇 = 10. The Fourier series coefficients for this
series are denoted by 𝑎𝑘, that is
The same function 𝑥(𝑡) can also be considered as a periodic function with period T' = 40.
Let bk be the Fourier series coefficients when period is taken as T'. If $$\sum\limits_{k = - \infty }^\infty {\left| {{a_k}} \right|} = 16$$, then $$\sum\limits_{k = - \infty }^\infty {\left| {{b_k}} \right|} = 16$$ is equal to
A
256
B
64
C
16
D
4
4
GATE ECE 2018
MCQ (Single Correct Answer)
+1
-0.33
Let the input be
u
and the output be
y
of a system, and the other parameters are real
constants. Identify which among the following systems is not a linear system: