Free Printable EMT 2021

1.

At cartesian point (-3,4,-1), which of these is incorrect

a)

$\rho$ =-5

b)

$\theta=\tan^{-1}\left(\frac{5}{-1}\right)$

c)

$\phi=\tan^{-1}\left(\frac{4}{-3}\right)$

d)

$r\ =\ \sqrt[]{26}$

2.

The electric and the magnetic field, associated with an electromagnetic wave, propagating along X axis can be represented by

a)

electric energy density is double of the magnetic energy density

b)

electric energy density is half of the magnetic energy density

c)

electric energy density is equal to the magnetic energy density

d)

both electric and magnetic energy densities are zero

3.

If the magnetic monopole exists, then which of the Maxwell’s equation to be modified?.

a)

$\oint_{ }^{ }\overrightarrow{E.}\ \overrightarrow{dA}\ =\frac{Qenclosed}{\in_0}$

b)

$\oint_{ }^{ }\overrightarrow{E.}\ \overrightarrow{dA}\ =0$

c)

$\oint_{ }^{ }\overrightarrow{E.}\ \overrightarrow{dA}\ =\mu_0\ I_{enclosed}\ +\mu_0\in_0\frac{\text{d}}{\text{d}t}\int_{ }^{ }\overrightarrow{E}.\overrightarrow{dA}$

d)

$\oint_{ }^{ }\overrightarrow{E.}\ \overrightarrow{dA}\ =-\frac{\text{d}}{\text{d}t}\Phi_B$

4.

An electric potential field is produced by charges $1\mu C$ and $4\mu C$ located at (-2,1,5) and (1,3,-1),respectively. The energy stored in the field is-

a)

2.57mJ

b)

5.14mJ

c)

10.28mJ

d)

None of the above

5.

In cylindrical coordinates,the equation

$\frac{\partial^2\psi}{\partial\rho^2}+\frac{1}{\rho}\frac{\partial\psi}{\partial\rho}+\frac{\partial^2\psi}{\partial z^2}+10=0$ ,is called

a)

Maxwell's Equation

b)

Laplace's Equation

c)

Poisson's Equation

d)

Lorentz's Equation

6.

Which one of these equation is not Maxwell's equation for static electromagnetic fieldnin a linear homogeneous medium?

a)

$\nabla\cdot\overrightarrow{B}=0$

b)

$\nabla\times\overrightarrow{D}=0$

c)

$\oint_s^{ }D.\overrightarrow{dS}=Q$

d)

$\oint_L^{ }\overrightarrow{B}.\overrightarrow{dl}=\mu_0I$

e)

$\nabla^2A=\mu_0J$

7.

The concept of displacement current was a major contribution attributed to-

a)

Faraday

b)

Lenz

c)

Lorentz

d)

Maxwell

8.

Which equation is not the Maxwell's Equation for time varying field-

a)

$\nabla\cdot\overrightarrow{J}\ +\frac{\partial\rho_v}{\partial t}=0$

b)

$\nabla\cdot\overrightarrow{D}=\rho_v$

c)

$\oint_{ }^{ }\overrightarrow{B.}\ \overrightarrow{dS}=0$

d)

$\oint_{ }^{ }\overrightarrow{H.}\ \overrightarrow{dl}=\int_{ }^{ }\left(\sigma E+\epsilon\frac{\partial\overrightarrow{E}}{\partial t}\right)\cdot\overrightarrow{dS}$

9.

Given $E_s=10e^{-j4x}a_y$ choose incorrect representation of $\overrightarrow{E}$ .

a)

$Re\left(E_se^{j\omega x}\right)$

b)

$Re\left(E_se^{-j\omega t}\right)$

c)

$Im\left(E_se^{j\omega t}\right)$

d)

$10\cos\left(\omega t+j4x\right)a_y$

e)

$10\ \sin\left(\omega t+4x\right)a_y$

10.

Given $E=10\cos\left(10^7t+kz\right)a_y\ \frac{V}{m}$ ,Electric field component of an EM wave propagating in free space.What information we have?

a)

The wave propagates along

b)

The wave number k=0.33 rad./m

c)

The wave attenuates as it travels

d)

The wavelength $\lambda$ =188.5 m

11.

In certain medium, $E=10\ \cos\left(10^8t-3y\right)a_x\ \frac{V}{m.}$ .What type of medium is it?

a)

Free Space

b)

Lossy dielectric

c)

Lossless dielectric

d)

Perfect conductor

12.

An evanecent mode occurs when

a)

The propagation constant is purely Imaginary.

b)

A wave is attenuated rather than propagated.

c)

m=n=0 so that all field component vanish.

d)

The wave frequency is same as cutoff frequency.

13.

Which mode is the dominant mode for rectangular waveguide?

a)

$TE_{11}$

b)

$TM_{11}$

c)

$TE_{10}$

d)

$TE_{101}$

14.

For rectangular waveguide,where a=2b,The cut off frequency for $TE_{02}$ mode is 12 GHz, the cutoff frequecy for $TM_{11}$ mode is

a)

3 GHz

b)

6 $\sqrt[]{5}$ GHz

c)

3 $\sqrt[]{5}$ GHz

d)

12 GHz

15.

For electromagnetic waves,Which of the following is NOT true?

a)

EM Wave transport energy

b)

EM Wave transport momentum

c)

EM Wave transport angular momentum

d)

in vacuum, EM Wave travels with different speeds which depend on their frequency

EMT 2021

Total questions: 15

Worksheet time: 12mins

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