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BARC ECE 2019 : Mini Mock -1

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Question 1

As x varies from —1 to +3, which one of the following describes the behavior of the function f (x) = x³-3x² + 1?

Question 2

Let

for some a, b ∈ R. Suppose that 1 and 2 are eigen values of A and

Question 3

Consider the 5 × 5 matrix

It is given that A has only one real Eigen value. Then the real Eigen value of A is

Question 4

Consider a

square matrix

Where x is unknown. If the eigenvalues of the matrix A are

and

the x is equal to

Question 5

Consider the following equations

The system of equation will be

Question 6

The circuit of fig. the transistor parameters are

. If

then the width to-length ratio required in each transistor is

Question 7

For the given circuit shown below, for both transistor and The value of R1 is _______ kΩ.

Question 8

Consider the common emitter amplifier shown below with the following circuit parameters:
β =100, g_m = 0.3861 A/V, r₀ = ∞, r_p = 259 W, R_S = 1kΩ,
R_B = 93KΩ, R_C = 250Ω, R_L=1kΩ, C₁=∞ and C₂ = 4.7μF.

The resistance seen by the source Vs is

Question 9

In the following circuit, V₀ is

Question 10

Three identical cascaded amplifier stages have an overall upper 3 dB frequency of 20KHz and a lower 3 dB frequency of 20Hz. What are f_L and f_H respectively. Assume non- interacting stages.

Question 11

A BJT has β = 50, base collector leakage current

= 3.3μA. If transistor is connected in common emitter configuration. Then what will be the leakage current I_CO if base current is 0.

Question 12

In the circuit shown below, the op-amp is ideal, the transistor has

and

. Decide whether the feedback in the circuit is positive or negative and determine the voltage V at the output of the op-amp.

Question 13

Consider two BJTs biased at the same collector current with area Assuming that all other device parameters are identical, kT/q = 26 mV, the intrinsic carrier concentration isthe difference
between the base-emitter voltages (in mV) of the two BJTs