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GATE EE 2019: ThunderBolt Quiz 4

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Question 1

The circuit shown is meant to supply a resistive load RL from two separate DC voltage sources. The switches S1 and S2 are controlled so that only one of them is ON at any instant. S1 is turned on for 0.2 ms and S2 is turned on for 0.3 ms in a 0.5 ms switching cycle time period. Assuming continuous conduction of the inductor current and negligible ripple on the capacitor voltage, the output voltage V0 (in Volt) across RL is ______________.

Question 2

Find the value of the capacitor (in nano farad) to design Hartley oscillator to get 60 KHz oscillating frequency and L1 = L2= 10mH?

Question 3

Find input resistance Rin

Question 4

An intel 8085 processor is executing the program given below.
MVI A, 10 H
MVI B, 10H
Back : NOP
ADD B
RLC
JNC BACK
HLT
The number of times that the operation NOP will be executed is equal to

Question 5

Which one of the following is executed by a simple addition of an inverter to an S-R flip flop

Question 6

Two similar 200 kVA, single phase transformer gave the following results when tested by back to back method mains wattmeter, primary series circuit wattmeter, (at full load current). Calculate the efficiency of each transformer at 80% of full load and 0.8 p.f. lag load.

Question 7

A 100 kVA transformer has hysteresis and eddy current loss of 200 W and 400 W respectively at 50 Hz. Now transformer operated at 60 Hz having copper loss of 900 W at 90% of the  full load. Calculate efficiency of transformer at full load and 0.9 P.F. lag load. Assuming (v/f) ratio constant.

Question 8

The open-circuit and short-circuit characteristic of a single-phase synchronous generator are shown on the same graph below.

A field current of 60 A produces the rated voltage. If the effective armature resistance of the generator is 0.3 Ω, determine the synchronous reactance of the machine [in Ohm].

Question 9

A balanced delta connected load of (8+j6) Ω per phase is connected to a 400V, 50Hz, 3-phase supply lines. If the power factor is to be improved to unity by connecting a bank of star connected capacitors, the required kVAR of the bank is …………….. kVAR.

Question 10

The voltage across the circuit in the figure and the current through it, are given by the following expressions:

where, radian/s. If the average power delivered to the circuit is zero, then the value of X(in ampere) is __________ (upto 2 decimal places).

Question 11

For the given 2-port network, the value of transfer impedance Z21 in ohms is_______

Question 12

A 3-Φ, 50 Hz transmission line at 11 kV delivers a load of 800 kw at 0.8 p.F lag. Resistance and reactance of each line conductor may be assumed to be 5 ohm and 7.8 ohm respectively. Assuming given rated voltage is of supply (sending end) side. Determine the total losses in line. (in kw)

Question 13

A 8 km long line is used to supply a load at constant voltage of 33 kV. During a 24 hour period, the load is 2500 kw for 8 hour, 1500 kw for 10 hours and 1000 kw for 6 hours at u.p.f. resistance per km of a conductor is 0.176 ohm. Determine total line loss during 24 hour period (in kw).

Question 14

If Eigen values of Matrix are 2, 3 then Eigen values of A2 – 3A + 4I will be 'g' and 'h'. What will be the sum of 'g' and 'h'.

Question 15

Consider a function f (x, y, z) given by


The partial derivative of this function with respect to x at the point, x = 2, y = 1 and z = 3 is ________
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Jul 8ESE & GATE EE