Electrical Engineering Gate 2013 Set-3 Questions with Answer

Ques 1 GATE 2013 SET-3

Two systems with impulse responses h₁(t) and h₂(t) are connected in cascade.
Then the overall impulse response of the cascaded system is given by h(t) = h₁(t) * h₂(t).

Ques 2 GATE 2013 SET-3

Assuming zero initial condition, the response y(t) of the system given below to a unit step input u(t) is

Ques 3 GATE 2013 SET-3

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

Ques 4 GATE 2013 SET-3

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

Ques 5 GATE 2013 SET-3

The Transfer function V₂(s)/V₁(s) of the circuit shown below is

Ques 6 GATE 2013 SET-3

A single-phase transformer has no-load loss 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 windings, the measured loss is 81 W. The transformer has maximum efficiency when operated at

Ques 7 GATE 2013 SET-3

The flux density at a point in space is given by:
B = 4x a_x + 2k y a_y + 8 a_z Wb/m².
The value of the constant k must be equal to ____.

Ques 8 GATE 2013 SET-3

A continuous random variable X has a probability density function ,f(x) = e^-x, 0 < x < ∞.Then { X > 1} is

Ques 9 GATE 2013 SET-3

Two systems with impulse responses h₁(t) and h₂(t) are connected in cascade.
Then the overall impulse response of the cascaded system is given by _____.

Ques 10 GATE 2013 SET-3

Which one of the following statements is NOT TRUE for a continuous time causal and stable LTI system?

Ques 11 GATE 2013 SET-3

Impulse response h(t) = t·u(t), input = u(t−1), output is