MCQs of Static Electric Fields (Electromagnetics Field - 3140912)

Electromagnetics Field (3140912) MCQs

MCQs of Static Electric Fields

Showing 51 to 60 out of 96 Questions

51.

Electric flux density

D = 0.3 r^{2} a_{r} n C / m^{2}

in free space. The total charge within the sphere of radius 3 m will be _____________.

(a)	305.36 nC
(b)	-305.36 nC
(c)	3.6 nC
(d)	-3.6 nC

52.

D

is the electric flux density then the unit of

\nabla \cdot D

will be _______.

(a)	$C$
(b)	$C / m^{2}$
(c)	$C / m^{3}$
(d)	unit-less

53.

Plane y=2 carries infinite sheet of charge

4 n C / m^{2}

. If medium is free space then force on a point charge of 5 mC located at origin is ________ .

(a)	$- 0.18 π a_{y} N$
(b)	$0.18 π a_{y} N$
(c)	$- 0.36 π a_{y} N$
(d)	$0.36 π a_{y} N$

54.

A point charge of

20 π n C

is loacted at the origin. If medium is free space then

D

at (0,1,2) will be _______.

(a)	$a_{y} + 2 a_{z} n C / m^{2}$
(b)	$a_{y} - 2 a_{z} n C / m^{2}$
(c)	$- a_{y} + 2 a_{z} n C / m^{2}$
(d)	$- a_{y} - 2 a_{z} n C / m^{2}$

55.

Line x=3, z=1 carries charge of 10 nC/m. If the medium is free space then the x-component of the force on a point charge of -2 mC located at origin will be ________.

(a)	-54 mN
(b)	54 mN
(c)	-108 mN
(d)	108 mN

56.

If electric flux density

D = x^{2} a_{x} + x y a_{y} + x a_{z} C / m^{2}

then volume charge density at (1,-4,6) will be ____________ .

(a)	$1 C / m^{3}$
(b)	$2 C / m^{3}$
(c)	$3 C / m^{3}$
(d)	$4 C / m^{3}$

57.

If electric flux density

D = x^{2} a_{x} + x y a_{y} + x a_{z} C / m^{2}

. The total charge stored in the region -1 < x, y, z < 2 will be ____________ .

(a)	4.5 C
(b)	13.5 C
(c)	24.5 C
(d)	40.5 C

58.

The total flux coming out of a volume defined by -1 < x < 2, -1 < y < 1, -2 < z < 2 having charge density of

- 2 x C / m^{3}

will be __________.

(a)	16 C
(b)	-16 C
(c)	24 C
(d)	-24 C

59.

If charge with volume charge density

ρ_{v} = \frac{\sin ϕ}{ρ z} C / m^{3}

is confined in a region of

ρ = 2 m, 0 \leq ϕ \leq π, 1 \leq z \leq 5

, find total charge contained in the region.

(a)	1.6 C
(b)	3.21 C
(c)	6.43 C
(d)	12.87 C

60.

Electric flux density at point (-4,5,6) due to infinite length line charge with density 10 nC/m present in free space at x=0, y=2 will have ___________.

(a)	only x component
(b)	only y component
(c)	only z component
(d)	both x and y component

Showing 51 to 60 out of 96 Questions