GATE EE 2012 Question Paper (12-Feb-2012) (Shift 2)

A system transfer function

$G\left(s\right)=\frac{\left(s^2+9\right)\left(s+2\right)}{\left(s+1\right)\left(s+3\right)\left(s+4\right)}$

is excited by sin(ωt). The steady state output of system is zero at

In the sum of products function f (X, Y, Z) = ∑ (2, 3, 4, 5) , the prime implicants are

If x[n] = (1/3)${}^{|n|}$ - (1/2)ⁿ u[n], then the region of convergence (ROC) of its z-transforms in the z-plane will be

The bus admittance matrix of a three – bus three – line system is

Y = j≤ft[ {*20c - 13&10&5\\ 10& - 18&10\\ 5&10& - 13 } ]

If each transmission line between the two buses is represented by an equivalent π – network, the magnitude of the shunt susceptance of the line connecting bus 1 and 2 is

The slip of an induction motor normally does not depend on: