Which one of the following vector functions represents a magnetic field \overrightarrow{B} ?(\hat{x}, \hat{y} and \hat{z} are unit vectors along x-axis, y-axis, and z-axis, respectively).

Correct Answer is : 10xx∧+20yy∧−30zz∧

10 x \hat{x}+20 y \hat{y}-30 z \hat{z}

10 x \hat{x}-30 z \hat{y}+20 y \hat{z}

10 y \hat{x}-20 x \hat{y}-10 z \hat{z}

10 z \hat{x}+20 y \hat{y}-30 x \hat{z}

GATE Electrical Engineering (EE) 2021 Solved Papers

Question : 31 of 65

Marks: +1, -0

Which one of the following vector functions represents a magnetic field

{B}↖{→} ?({x}↖{∧}, {y}↖{∧}

and

{z}↖{∧}

are unit vectors along

x

-axis,

y

-axis, and

z

-axis, respectively).

Solution:

∇ ⋅ { {B}↖{→}=0

[Gauss law for magnetic fields]
Applying on options,

10+20-30=0

∴

Option '

{A}^{'}

is the answer.

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