GATE IN 2015 Question Paper (01-Feb-2015) (Shift 2)

Consider a low-pass filter module with a pass-band ripple of δ in the gain magnitude. If M such identical modules are cascaded, ignoring the loading effects, the pass-band ripple of the cascade is

The fundamental period of the signal $x\left(t\right)=2\cos \left(\frac{2\pi t}{3}\right)+\cos \left(\pi t\right),$ in seconds, is ________s.

If the deflection of the galvanometer in the bridge circuit shown in the figure is zero, then the value of Rₓ in ohms is _________.

In the potentiometer circuit shown in the figure the expression for Vₓ is

The open loop transfer function of a system is $G\left(s\right)=\frac{s^2+6s+10}{s^2+2s+2}$. The angles of arrival of its root loci are