1
GATE EE 2014 Set 2
+2
-0.6
Consider the differential equation $${x^2}{{{d^2}y} \over {d{x^2}}} + x{{dy} \over {dx}} - y = 0.\,\,$$ Which of the following is a solution to this differential equation for $$x > 0?$$
A
$${e^x}$$
B
$${x^2}$$
C
$$1/x$$
D
$$lnx$$
2
GATE EE 2014 Set 2
+1
-0.3
All the values of the multi valued complex function $${1^i},$$ where $$i = \sqrt { - 1}$$ are
A
purely imaginary
B
real and non negative
C
on the unit circle
D
equal in real and imaginary parts.
3
GATE EE 2014 Set 2
Numerical
+2
-0
The $$SCR$$ in the circuit shown has a latching current of $$40$$ $$mA.$$ A gate pulse of $$50$$ $$\mu s$$ is applied to the $$SCR$$. The maximum value of $$R$$ in $$\Omega$$ to ensure successful firing of the $$SCR$$ is ____________.
4
GATE EE 2014 Set 2
Numerical
+2
-0
A fully controlled converter bridge feeds a highly inductive load with ripple free load current. The input supply $$\left( {{V_s}} \right)$$ to the bridge is a sinusoidal source. Triggering angle of the bridge converter is $$\,\alpha = {30^0}.$$ The input power factor of the bridge is ____________.
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