1
GATE EE 2015 Set 1
Numerical
+2
-0
A solution of the ordinary differential equation $$\,\,{{{d^2}y} \over {d{t^2}}} + 5{{dy} \over {dt}} + 6y = 0\,\,$$ is such that $$y(0)=2$$ and $$y(1)=$$ $$ - \left( {{{1 - 3e} \over {{e^3}}}} \right).$$ The value of $${{dy} \over {dt}}\left( 0 \right)$$ is
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2
GATE EE 2015 Set 1
MCQ (Single Correct Answer)
+1
-0.3
If a continuous function $$f(x)$$ does not have a root in the interval $$\left[ {a,b} \right],\,\,$$ then which one of the following statements is TRUE?
A
$$f\left( a \right).\,f\left( b \right) = 0$$
B
$$f\left( a \right).f\left( b \right) < 0$$
C
$$f\left( a \right).f\left( b \right) > 0$$
D
$$f\left( a \right)/f\left( b \right) \le 0$$
3
GATE EE 2015 Set 1
Numerical
+1
-0
In the following chopper, the duty ratio of switch $$S$$ is $$0.4.$$ If the inductor and capacitor are sufficiently large to ensure continuous inductor current and ripple free capacitor voltage, the charging current (in Ampere) of the $$5$$ $$V$$ battery, under steady-state, is_____ GATE EE 2015 Set 1 Power Electronics - Choppers and Commutation Techniques Question 33 English
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4
GATE EE 2015 Set 1
Numerical
+2
-0
A buck converter feeding a variable resistive load is shown in the figure. The switching frequency of the switch $$S$$ is $$100$$ $$kHz$$ and the duty ratio is $$0.6.$$ The output voltage $${V_0}$$ is $$36$$ $$V.$$ Assume that all the components are ideal, and that the output voltage is ripple-free. The value of $$R$$ (in $$Ohm$$) that will make the inductor current ($${{\rm I}_L}$$) just continuous is _______. GATE EE 2015 Set 1 Power Electronics - Choppers and Commutation Techniques Question 17 English
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