In a region of space, the electric field is given by $\vec{E} = 8 \overset{}{i} + 4 \overset{}{j} + 3 \overset{}{k} .$ The electric flux through a surface of area of 100 units in $x$ - $y$ plane is

Question

In a region of space, the electric field is given by

\vec{E} = 8 \overset{}{i} + 4 \overset{}{j} + 3 \overset{}{k} .

The electric flux through a surface of area of 100 units in

x

-

y

plane is (A)

800

units (B)

300

units (C)

400

units (D)

1500

units

Tardigrade Admin · Accepted Answer

Here,

\vec{E} = 8 \overset{}{i} + 4 \overset{}{j} + 3 \overset{}{k} .

+ 4 \overset{}{j} + 3 \overset{}{k}

\vec{S} = 100 \overset{}{k}

(direction of the area is perpendicular to

x

-

y

plane)

ϕ = \vec{E}

⋅

\vec{S} =

(8 \overset{}{i} + 4 \overset{}{j} + 3 \overset{}{k}) \cdot 100 \overset{}{k}

= 300 units

Q. In a region of space, the electric field is given by $\vec{E} = 8 \hat{i} + 4 \hat{j} + 3 \hat{k} .$ The electric flux through a surface of area of 100 units in $x$ - $y$ plane is