BARC Full Syllabus Test 10 for ESE & GATE EC Exams

Question 1

The transfer function for a system with input r(t)=1+e^-3t and response c(t)=e^-2t is

Question 2

A capacitor C connected to a single phase, 50 Hz,240 V AC supply draws a current of 24 A . What would be the current if the voltage applied is changed to 200 V at 60 Hz?

Question 3

The sampling frequency of analog signal x(t)=4sin300πt+2cos 50πt should be:

Question 4

Identify the bridge network shown above.

Question 5

A moving coil instrument has a coil resistance of 10 ohms and it can take maximum current of

. What modification is required in the instrument to measure the voltage in the range

to

?

Question 6

If u(t) = 1, for t > 0

= 0, for t < 0

the value of the function 5u(t)-4u(-t)+0.8u(1-t) at t=0.8 is:

Question 7

A unity feedback of second order system is operating with a damping ratio of 0.6. Then phase margin of the system will be approximately:

Question 8

Calculate the directional vector of a scaler field F = 3xy²z at a point P (1, 1, 2).

Question 9

A solenoid having cross-sectional area of 25 cm². If solenoid has 80 primary turn/cm & 160 secondary turns over the circumference. Calculate the mutual inductance for the solenoid.

Question 10

The block diagram of a system as shown in figure below, determine the transfer function, Y(s)/X(s).

Question 11

Which damping is used in to produce damping torque in moving iron instrument?

Question 12

The total flux at the end of a long permanent bar magnet is 100 x 10^-6 Wb. The end of this magnet is withdrawn through a 1000 turn coil in

seconds. The induced e.m.f. in the coil is

Question 13

A transducer converts
1. A potential difference is developed across a current carrying metal strip when the strip is placed in transverse magnetic field.
2. The Hall effect is very weak in metals but large in semiconductors.
3. The Hall effect is very weak in semiconductors but is large in metals.
4. It is applied in the measurement of the magnetic field intensity.

Question 14

Below Figure shows a silicon transistor biased with a collector feedback resistor of value R_B= 100K ohm and Beta = 100. If V_CB = 10.3V and V_BE = 0.7V, what will be the voltage across 1K Ohm ?

Question 15

In Fig., the peak inverse voltage (PIV) of the centre-tapped rectifier is