Electromagnetics Field (3140912) MCQs

MCQs of Review of Vector Analysis

Showing 11 to 20 out of 31 Questions
11.
Dot product to unit vector  ax of Cartesian coordinate system with unit vectors aρ,  aϕ  and az of Cylindrical coordinate system will be ____________ respectively.
(a) cosϕ, sinϕ, 0
(b) cosϕ, - sinϕ, 0
(c) sinϕ, cosϕ, 1
(d) cosϕ, - sinϕ, 1
Answer:

Option (b)

12.
Dot product of unit vector ar of Spherical coordinate system with unit vectors ax,  ay,  and az of Cartesian coordinate system will be _____________ respectively.
(a) sinθcosϕ, sinθsinϕ,cosθ
(b) cosθcosϕ, cosθsinϕ,-sinθ
(c) cosθsinϕ, cosθcosϕ,-sinθ
(d) sinθcosϕ, cosθsinϕ,cosθ
Answer:

Option (a)

13.
For given point P(x,y,z) the value of θ in Spherical coordinate system can be expressed as ________ .
(a) tan-1(yx)
(b) tan-1(zx)
(c) cos-1(zx2+y2+z2)
(d) cos-1(zx2+y2)
Answer:

Option (c)

14.
For point P(r,θ,ϕ) in Spherical coordinate system the corresponding value of z in Cartisian coordinate system will be _____________ .
(a) rsinθ
(b) rsinθcosϕ
(c) rcosθsinϕ
(d) rcosθ
Answer:

Option (d)

15.
P(ρ,ϕ,z) in Cylindrical coordinate system can be expressed in Cartesian coordinate system as ____________ .
(a) P(ρsinϕ,ρcosϕ,z)
(b) P(ρcosϕ,ρsinϕ,z)
(c) P(ρsinϕ,ρcosϕ,0)
(d) P(ρcosϕ,ρsinϕ,0)
Answer:

Option (b)

16.
A = y ax+(x+z) ay  at point P(-2,6,3) can be represented in Cylindrical coordinate system as ___________ .
(a) A = -0.95 ar- 6.01 aϕ + az
(b) A = 0.95 ar- 6.01 aϕ - az
(c) A = -0.95 ar- 6.01 aϕ
(d) A = 0.95 ar- 6.01 aϕ
Answer:

Option (c)

17.
Gradient of a scalar field V indicates ___________.
(a) magnitude of maximum space rate of change of V
(b) direction of maximum space rate of change of V
(c) both (A) and (B)
(d) Non of the above
Answer:

Option (c)

18.
If divergence of a vector field is zero at a point, then it means that __________ .
(a) flux in the vector field at that point is zero.
(b) net outward flux in the vector filed at that point is zero.
(c) rate of change of flux in the vector filed at that point is zero
(d) None of the above.
Answer:

Option (b)

19.
Solenoidal vector filed means ________.
(a) divergence free vector field
(b) incompressible vector field
(c) transverse vector field
(d) All of the above
Answer:

Option (d)

20.
The mathematical perception of the gradient is said to be
(a) Tangent
(b) Slope
(c) Arc
(d) Chord
Answer:

Option (b)

Showing 11 to 20 out of 31 Questions