1
GATE EE 2016 Set 1
MCQ (Single Correct Answer)
+2
-0.6
A function $$y(t),$$ such that $$y(0)=1$$ and $$\,y\left( 1 \right) = 3{e^{ - 1}},\,\,$$ is a solution of the differential equation $$\,\,{{{d^2}y} \over {d{t^2}}} + 2{{dy} \over {dt}} + y = 0\,\,$$ Then $$y(2)$$ is
A
$$5{e^{ - 1}}$$
B
$$5{e^{ - 2}}$$
C
$$7{e^{ - 1}}$$
D
$$7{e^{ - 2}}$$
2
GATE EE 2016 Set 1
MCQ (Single Correct Answer)
+2
-0.6
The value of the integral $$\oint\limits_c {{{2z + 5} \over {\left( {z - {1 \over 2}} \right)\left( {{z^2} - 4z + 5} \right)}}} dz$$ over the contour $$\left| z \right| = 1,$$ taken in the anti-clockwise direction, would be
A
$${{24\pi i} \over {13}}$$
B
$${{48\pi i} \over {13}}$$
C
$${{24} \over {13}}$$
D
$${{12} \over {13}}$$
3
GATE EE 2016 Set 1
Numerical
+1
-0
A steady dc current of 100 A is flowing through a power module (S, D) as shown in Figure (a). The V-I characteristics of the IGBT (S) and the diode (D) are shown in Figures (b) and (c), respectively. The conduction power loss in the power module (S, D), in watts, is ________. GATE EE 2016 Set 1 Power Electronics - Power Semiconductor Devices Question 13 English 1 GATE EE 2016 Set 1 Power Electronics - Power Semiconductor Devices Question 13 English 2
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4
GATE EE 2016 Set 1
Numerical
+1
-0
A buck converter, as shown in Figure $$(a)$$ below, is working in steady state. The output voltage and the inductor current can be assumed to be ripple free. Figure $$(b)$$ shows the inductor voltage $${V_L}$$ during a complete switching interval. Assuming all devices are ideal, the duty cycle of the buck converter is ________. GATE EE 2016 Set 1 Power Electronics - Choppers and Commutation Techniques Question 32 English 1 GATE EE 2016 Set 1 Power Electronics - Choppers and Commutation Techniques Question 32 English 2
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