GATE EC 2015 Question Paper (01-Feb-2015) (Shift 1)

The transfer function of a first-order controller is given as;

$G_C\left(s\right)=\frac{K\left(s+a\right)}{s+b}$

Where K, a and b are positive real numbers. The condition for this controller to act as a phase lead compensator is

The modulation scheme commonly used for transmission from GSM mobile terminals is

A message signal m(t) = A ${}_m$ sin (2πf ${}_m$ t) is used to modulate the phase of a carrier A ${}_c$ cos (2πf ${}_c$ t) to get the modulated signal y(t) = A ${}_c$ cos (2πf ${}_c$ t + m(t)). The bandwidth of y(t)

The directivity of an antenna array can be increased by adding more antenna elements, as a larger number of elements:

A coaxial cable is made of two brass conductors. The spacing between the conductors is filled with Teflon (ε’ᵣ= 2.1, tan δ = 0). Which one of the following circuits can represent the lumped element model of a small piece of this cable having length ∆z?