EMF_U1_Vector Differential Operator

Which of the following are not vector functions in Electromagnetics?

• a) Gradient

• b) Divergence

• c) Curl

• d) There is no non- vector functions in Electromagnetics

The dot product of two vectors is a scalar. The cross product of two vectors is a vector. State True/False.

• True

• False

The del operator is called as

• a) Gradient

• b) Curl

• c) Divergence

• d) Vector differential operator

A vector is said to be solenoidal when its

• a) Divergence is zero

• b) Divergence is unity

• c) Curl is zero

• d) Curl is unity

A field has zero divergence and it has curls. The field is said to be

• a) Divergent, rotational

• b) Solenoidal, rotational

• c) Solenoidal, irrotational

• d) Divergent, irrotational

When a vector is irrotational, which condition holds good?

• a)Stoke’s theorem gives non-zero value

• b) Stoke’s theorem gives zero value

• c) Divergence theorem is invalid

• d) Divergence theorem is valid

The Cartesian coordinates can be related to cylindrical coordinates and spherical coordinates. State True/False.

• True

• False

Find the Cartesian coordinates of B(4,25⁰,120⁰)

• a) (0.845, 1.462, 3.625)

• b) (-0.845, 1.462, 3.625)

• c) (-8.45, 2.462, 6.325)

• d) (8.45, 2.462, 6.325)

The volume integral is three dimensional. State True/False

• True

• False

Using volume integral, which quantity can be calculated?

• a) area of cube

• b) area of cuboid

• c) volume of cube

• d) distance of vector