Electrical Engineering (EE) 2017 [Session 1]

The matrix A =

For a complex number z, lim (z → i) (z2 + 1) / (z3 + 2z - i(z2 + 2)) is

Let z(t) = x(t) * y(t), where '*' denotes convolution. Let c be a positive real-valued constant. Choose the correct expression for z(ct).

A solid iron cylinder is placed in a region containing a uniform magnetic field such that the cylinder axis is parallel to the magnetic field direction. The magnetic field lines inside the cylinder will

Consider an electron, a neutron and a proton initially at rest and placed along a straight line such that the neutron is exactly at the center of the line joining the electron and proton. At t = 0, the particles are released but are constrained to move along the same straight line. Which of these will collide first?

The transfer function of a system is given by, V0(s)/Vi(s) = (1-s)/(1+s). Let the output of the system be v0(t) = Vm sin(ωt + φ) for the input, vi(t) = Vm sin(ωt). Then the minimum and maximum values of φ (in radians) are respectively