GATE EE 2013 Question Paper (10-Feb-2013) (Shift 2)

A voltage 1000 sinωt Volts is applied across YZ. Assuming ideal diodes, the voltage measured across WX in Volts, is

The separately excited dc motor in the figure below has a rated armature current of 20 A and a rated armature voltage of 150V. An ideal chopper rectifying at

5 kHz is used to control the armature voltage. If l

La=0.1mH Ra=1Ω, neglecting the armature rectifier, the duty ratio of the chopper to obtain 50% of the rated torque at the rated speed and rated field current is

For a power system network with n nodes, Z₃₃ of its bus impedance matrix is j0.5 per unit. The voltage at node 3 is 1.3∠-10° per unit. If a capacitor having reactance of –j3.5 per unit is now added to the network between node 3 and the reference node, the current drawn by the capacitor per unit is

A dielectric slab with 500 mm × 500 mm cross-section is 0.4 m long. The slab is subjected to a uniform electric field of . The relative permittivity of the dielectric material is equal to 2. The value of constant ε₀ is 8.85 × 10⁻¹² F/m. The energy stored in the dielectric in Joules is

A matrix has eigenvalues -1 and -2. The corresponding eigenvectors are $\left[\begin{array}{c}1\\ -1\end{array}\right]$ and $\left[\begin{array}{c}1\\ -2\end{array}\right]$ respectively. The matrix is