Question

In a region of space the electric field is given by E= 8i+4 j+3 k the electric flux through a surface of area of 100 units in x-y plane is

Answer 1

here area take ,that perpendicular to plan......
regard

Answer 2

The electric flux is 300 Vm.

Explanation:

The electric flux can be found using the below formula,

$\varphi=E . A$

Where,

$\varphi$ is the electric flux produced by the electric field E in a given cross sectional area A.

It is given as E = 8i + 4j + 3k and as the electric field passes in xy plane so area A = 100 k.

The alphabets represented in bold -italics are the vector terms. So the vectors i, j, and k are the unit vectors.

Hence,

$\varphi=E . A$

$\varphi=(8 i+4 j+3 k) .(100 k)$

$\therefore \varphi=300 \ \mathrm{Vm}$