MCQs of Review of Vector Analysis (Electromagnetics Field - 3140912)

Showing 21 to 30 out of 31 Questions

21.

Gradient of

V (x, y, z) = 3 x^{2} y - y^{3} z^{2}

at point (1,-2,-1) will be ____________.

22.

Divergence of a vector field

A = x a_{x} + y a_{y} + z a_{z}

will be ________________ .

23.

Vector field

A = y z a_{x} + x z a_{y} + x y a_{z}

is _______________ .

24.

_______________ relates surface integral with closed line integral.

25.

If result of a mathematical operation is a vector, then the operation can not be ___________ .

26.

For the vector

A = 2.5 a_{θ} + 5 a_{ϕ}

in Spherical coordinate system calculate

\nabla \cdot (\nabla \times A)

at point

P (10, \frac{π}{6}, \frac{π}{3})

27.

For the scalar field

V = 2 z \sin ϕ - 3 z^{2} \sin ϕ

expressed in Cylindrical coordinate system, evaluate

\nabla \times (\nabla V)

28.

Divergence of the vector field

A = r z \sin ϕ a_{r} + 3 r z^{2} \cos ϕ a_{ϕ}

at point

P (5, \frac{π}{2}, 1)

will be ____________ .

29.

The curl of a vector filed

A = 10 \sin θ a_{θ}

in Spherical coordinate system at point

P (2, \frac{π}{2}, 0)

will be ___________ .

30.

Divergence of vector field

A = x^{2} a_{x} + y z a_{y} + x y a_{z}

at point P(1,1,1) will be ______________.

Showing 21 to 30 out of 31 Questions