ISRO Scientist or Engineer Electronics 2020

The plane wave propagating through the di-electric has the magnetic field component as $$H=20 e^{-ax} \cos (\omega t-0.25) a_{y} \frac{A}{m}$$ $$ (a_{x},a_{y},a_{z}$$, are the unit vectors along x, y and z axis respectively ) Determine the Polarization of the wave

In Free space, $$H=0.1 cos(\omega t-\beta x) a_{z} \frac{A}{m}$$  ($$a_{x}, a_{y}, a_{z}$$ ,are the unit vectors along x, y and z axis respectively ) The Total power passing through a square plate of side)10 cm on plane $$x + 2y = 1.0$$, is approximately :

Consider the rectangular cavity as shown below :

If $$a = c > b$$, The Dominant mode of resonance corresponding to the above Rectangular cavity is

A video camera generates data at a rate of 5 Mbps. The data is channel coded at rate $$\frac{1}{3}$$ and 8 PSK modulated. Which of the following statements is correct?

Evaluate $$\int_{-\infty}^{\infty} x^{4} f(x) dx$$, where $$f(x)=\frac{1}{\sqrt{2 \pi}}e^{-\left(\frac{x^{2}}{2}\right)}, x \in(-\infty,\infty)$$

Consider a transformation $$T:R^{3} \rightarrow R^{2}$$ where $$R^{3}$$ and $$R^{2}$$ represent three and two dimensional real column vectors respectively. Also, T(x) = Ax for some matrix A and for each x in $$R^{3}$$ How many rows and colums does A have and what is its maximum possible rank?

The output of a three element co-linear antenna array operating in a free space environment is combined after appropriate phase shifting) to maximize the signal received from a particular direction as shown in figure

If the inter-element spacing is half of the signal wavelength and the direction of maximum response is $$30^\circ$$ from line perpendicular to the array ,what are the phases to be apllied to the each element? Consider the first element as the reference?

The transmission line of charecteristic impedance 50 Ω and feeding a purely resistive load of 200 Ω uses single quarter wavelength long short circuit stub which is placed at a distance d from the load .The VSWR on the transmission line section of length d and VSWR on the stub respectively are

The plane Y =O carries a uniform current density of -20 k $$\frac{mA}{m}$$ The magnetic field intensity at X =1,Y =10 and Z = —2 is

A Charge of 2 Coulombs is placed near a grounded conducting plate at a distance of m. The force acting between the charge of 2 C and ground conducting plate in Newton is