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

For the circuit shown below, assume that the $$OPAMP$$ is ideal.

Which one of the following is TRUE?

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

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