1
GATE EE 2017 Set 2
+2
-0.6
For the circuit shown in the figure below, it is given that $${V_{CE}} = {{{V_{CC}}} \over 2}.$$ The transistor has $$\beta = 29$$ and $${V_{BE}} = 0.7\,\,V$$ when the $$B$$-$$E$$ junction is forward biased.

For this circuit, the value of $${{{R_B}} \over R}$$ is

A
$$43$$
B
$$92$$
C
$$121$$
D
$$129$$
2
GATE EE 2017 Set 2
+2
-0.6
For the circuit shown below, assume that the $$OPAMP$$ is ideal.

Which one of the following is TRUE?

A
$${v_0} = {v_s}$$
B
$${v_0} = 1.5\,{v_s}$$
C
$${v_0} = 2.5\,{v_s}$$
D
$${v_0} = 5\,{v_s}$$
3
GATE EE 2017 Set 2
+1
-0.3
When a unit ramp input is applied to the unity feedback system having closed loop transfer function $${{C\left( s \right)} \over {R\left( s \right)}} = {{Ks + b} \over {{s^2} + as + b}},\,\left( {a > 0,\,b > 0,\,K > 0} \right),$$ the steady state error will be
A
$$0$$
B
$${a \over b}$$
C
$${{a + K} \over b}$$
D
$${{a - K} \over b}$$
4
GATE EE 2017 Set 2
+2
-0.6
The range of K for which all the roots of the equation $${s^3} + 3{s^2} + 2s + K = 0$$ are in the left half of the complex $$s$$-plane is
A
$$0 < K < 6$$
B
$$0 < K < 16$$
C
$$6 < K < 36$$
D
$$6 < K < 16$$
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