GATE 2022 Rapid Revision Weekly Quiz 1 for ESE & GATE EC Exams

Question 1

A network N with impedance matrix

is followed by an ideal transformer with ratio 5 : 1 as shown in figure,

the overall Z parameter Z₂₂ is ______ (Ω).

Question 2

Which of the following statements are true about the Hall Effect experiment and the results obtained from it.
I. It is used to distinguish between n -type and p-type semiconductor
II. It is used to calculate majority carrier concentration and mobility.
III. Force on electron in the direction given by the vector B $Description: E:\Gate\Gate-EC\03_Elctro-Devic_B-done_files\image021.png$ v.
IV. The Hall voltage is positive for n-type semiconductor.

Question 3

A transistor is interfaced with output port of an op-amp as shown. Determine the current (in mA) flowing through resistor R.

Question 4

According to FCC (Federal communications commission) regulations, the maximum allowable frequency deviation is 30 KHz , for a TV signal, given that the percentage modulation of the audio portion is 60%.

What is the frequency deviation of the audio signal in kHz?

Question 5

An electromagnetic wave from an underwater source with perpendicular polarization is incident on a water air interface. Find critical angle in degree. Assume μ_r=1 and ε_r=81

Question 6

A boat can travel with a speed of 15 km/hr in still water. If the speed of stream is 7 km/hr, then find the time taken by the boat to go 72 km in upstream direction?

Question 7Multiple Correct Options

For the two port network shown below:

Question 8

Silicon is doped with boron to a concentration of 4×10¹⁷ atoms/cm³. Assuming the intrinsic carrier concentration of silicon to be 1.5×10¹⁰/cm³ and the value of to be 25 mV at 300 K
Compared to undoped silicon, the Fermi level of doped silicon?

Question 9

Consider the given amplifier circuit shown below. The circuit has following parameters

r_π = 0245 kΩ , V_t = 26mv

what is the value of 3 – dB frequency f₁(Hz) of the amplifiers due to coupling capacitor C_C ?

Question 10

A finite state machine is given below

Here, X, Y are inputs and A is output. The state machine is

Question 11

For an air filled waveguide, a TM mode operating at a frequency of 30GHz has

The intrinsic impedance is _____________

Question 12

A binary signal with infinite bandwidth is transmission through an ideal AWGN channel. If the two sided PSD of the channel noise 7mw/Hz. Then for error free transmission, the minimum average bit energy required is __________ mw – sec