EE GATE 2013 - Online Test

Q1.
In the figure shown below, the chopper feeds a resistive load from a battery source. MOSFET Q is switched at 250 kHz, with a duty ratio of 0.4. All elements of the circuit are assumed to be ideal

The Peak to Peak source current ripple in amps is
Answer : Option C
Explaination / Solution:
No Explaination.


Q2. Find the sum to n terms of the series 10 + 84 + 734 + …
Answer : Option D
Explaination / Solution:

Using the answer options, substitute n = 2. The sum should add up to 94

Q3. The angle δ in the swing equation of a synchronous generator is the
Answer : Option D
Explaination / Solution:
No Explaination.


Q4. For a periodic signal  the fundamental frequency in radians/s is 
Answer : Option A
Explaination / Solution:
No Explaination.


Q5.
In the figure shown below, the chopper feeds a resistive load from a battery source. MOSFET Q is switched at 250 kHz, with a duty ratio of 0.4. All elements of the circuit are assumed to be ideal

The average source current in Amps in steady-state is
Answer : Option B
Explaination / Solution:
No Explaination.


Q6. The set of values of p for which the roots of the equation 3x2 + 2x p(p-1) = 0 are of opposite sign is
Answer : Option B
Explaination / Solution:
No Explaination.


Q7. The equation  has
Answer : Option D
Explaination / Solution:
No Explaination.


Q8. The Bode plot of a transfer function G(s) is shown in the figure below.

The gain (20 log |G(s)|) is 32 dB and -8 dB at 1 radians/s and 10 radians/s respectively. The phase is negative for all ω.Then G(s) is 
Answer : Option B
Explaination / Solution:
No Explaination.


Q9. A continuous random variable X has a probability density function  is
Answer : Option A
Explaination / Solution:
No Explaination.


Q10. 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, he measured loss is 81 W. The transformer has maximum efficiency when operated at
Answer : Option C
Explaination / Solution:
No Explaination.