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

Two systems with impulse responses h ₁(t) and h ₂(t) are connected in cascade. Then the overall impulse response of the cascaded system is given by

A source vₛ(t) = V cos 100πt has an internal impedance of (4 + j3) Ω. If a purely resistive load connected to this source has to this source has to extract the maximum power out of the source, its value in Ω should be

A single-phase load is supplied by a single-phase voltage source. If the current flowing from the load to the source is 10∠ -150° A and if the voltage at the load terminals is 100∠ 60° V, then the

A single phase transformer has no load of 64 W, as obtained from an open circuit test. When a short circuit test is performed on it with 90% of the rated currents flowing in its both LV and HV winding. The measured loss is 81 W. The transformer has maximum efficiency when operated at:

The flux density at a point in space is given by B = 4xaₓ + 2kya${}_y$ + 8a${}_z$ Wb/m² . The value of constant k must be equal to