EE GATE 2010 - Online Test

Q1. The switch in the circuit has been closed for a long time. It is opened at t = 0. At t = 0+, the current through the 1µF capacitor is
 
Answer : Option B
Explaination / Solution:
No Explaination.


Q2. The characteristic equation of a closed-loop system is s(s + 1)(s + 3) + k(s + 2) = 0, k > 0. Which of the following statements is true?
Answer : Option C
Explaination / Solution:
No Explaination.


Q3.
Given f(t) and g(t) as shown below:

g(t) can be expressed as
Answer : Option D
Explaination / Solution:
No Explaination.


Q4. As shown in the figure, a 1Ω resistance is connected across a source that has a load line v + i = 100. The current through the resistance is 

Answer : Option B
Explaination / Solution:
No Explaination.


Q5. Given f(t) and g(t) as shown below:

The Laplace transform of g(t) is
Answer : Option C
Explaination / Solution:
No Explaination.


Q6.
If the electrical circuit of figure (b) is an equivalent of the coupled tank system of figure (a), then

Answer : Option D
Explaination / Solution:
No Explaination.


Q7. If the 12 Ω resistor draws a current of 1A as shown in the figure, the value of resistance R is

Answer : Option B
Explaination / Solution:
No Explaination.


Q8. The two-port network P shown in the figure has ports 1 and 2, denoted by terminals (a, b) and (c, d), respectively. It has an impedance matrix Z with parameters denoted by zij. A 1Ω resistor is connected in series with the network at port 1 as shown in the figure. The impedance matrix of the modified two-port network (shown as a dashed box) is

Answer : Option C
Explaination / Solution:
No Explaination.


Q9. The L-C circuit shown in the figure has an inductance L = 1mH and a capacitance C = 10µF. 

The initial current through the inductor is zero, while the initial capacitor voltage is 100 V. The switch is closed at t = 0. The current i through the circuit is:
Answer : Option D
Explaination / Solution:
No Explaination.


Q10. The L-C circuit shown in the figure has an inductance L = 1mH and a capacitance C = 10µF. 
The L – C circuit of Q.9 is used to commutate a thyristor. Which is initially carrying a current of 5 A as shown in the figure below. The values and initial conditions of L and C are the same as in Q.9. The switch is closed at t=0. If the forward drop is negligible, the time taken for the device to turn off is

Answer : Option A
Explaination / Solution:
No Explaination.