1
GATE EE 2022
MCQ (Single Correct Answer)
+1
-0.33

Let $$\overrightarrow E (x,y,z) = 2{x^2}\widehat i + 5y\widehat j + 3z\widehat k$$. The value of $$\mathop{\int\!\!\!\int\!\!\!\int}\limits_{\kern-5.5pt V} {(\overrightarrow \nabla \,.\,\overrightarrow E )dV} $$, where V is the volume enclosed by the unit cube defined by 0 $$\le$$ x $$\le$$ 1, 0 $$\le$$ y $$\le$$ 1, and 0 $$\le$$ z $$\le$$ 1, is

A
3
B
8
C
10
D
5
2
GATE EE 2022
Numerical
+1
-0.33

Let the probability density function of a random variable x be given as

f(x) = ae$$-$$2|x|

The value of a is _________.

Your input ____
3
GATE EE 2022
MCQ (Single Correct Answer)
+1
-0.33

A charger supplies 100 W at 20 V for charging the battery of a laptop. The power devices, used in the converter inside the charger, operate at a switching frequency of 200 kHz. Which power device is best suited for this purpose?

A
IGBT
B
Thyristor
C
MOSFET
D
BJT
4
GATE EE 2022
Numerical
+1
-0.33

A single-phase full-bridge diode rectifier feeds a resistive load of 50 $$\Omega$$ from a 200 V, 50 Hz single phase AC supply. If the diodes are ideal, then the active power, in watts, drawn by the load is _________. (round off to nearest integer).

Your input ____
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