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BARC Full Syllabus Test 19

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Question 1

A rectangular voltage pulse of magnitude “V” and duration “T” is applied to a series combination of resistance “R” and capacitance “C”. The maximum voltage developed across the capacitor is

Question 2

A matrix ‘A’ has its two Eigen values as -1 and 4. The value of A3 is given by:

Question 3

A servo mechanism is represented by the equation  = 150E where E = (r – θ) is the actuating signal. Calculate the rise time of the system.

Question 4

Identify the operation of circuit shown in figure.

Question 5

The circuit shown in figure below:


Find the type of the Filter?

Question 6

A magnetic field âx + 2 ây - 4 âz exists at a point. If a test charge moving with a velocity  V0(3 âx - ây + 2 âz) experiences no force at a certain point, the electric field at the point will be

Question 7

The length of curve y = x3/2 between x = 1 and x = 3 is

Question 8

Find the collector current in the following:

VBE = 0.7 V and

Question 9

The characteristics equation of a feedback control system is,

s4 + 20Ks3 + 5s2 + 10s + 15 = 0

Find the range of K for which system stable?

Question 10

Determine Vc and VB for the network of figure given below

Question 11

The electric field across the dielectric air interface is shown in the given figure. The surface charge density on the interface is

Question 12

The eigenvalues of the matrix representing the following pair of linear equations are: 

x + iy = 0
ix + y = 0

Question 13

For the block diagram shown in the figure below. Find the range of ‘K’ for the system to be stable?

Question 14

In an OPAMP circuit shown, find the output voltage, if voltage gain is 50k?

Question 15

A 8×1 multiplexer is used to realize a four variable function f(A, B, C, D) = Σm(0, 2, 3, 6, 7, 9, 14, 15), A is taken as MSB. B are the input to the multiplexer and A, C, D are used as select line considering A is MSB, D is at the LSB. Find the input given to the multiplexer is

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Jun 6ESE & GATE EC