In a region of space, the electric field is given by vecE=8 hat i +4 hat j +3 hatk. 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 vecE=8 hat i +4 hat j +3 hatk. 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, vecE=8 hat i +4 hat j +3 hat k vecS=100 hatk (direction of the area is perpendicular to x-y plane) φ= vecE ⋅ vecS=(8 hat i +4 hat j +3 hat k ) ⋅ 100 hat k =300 units

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

800 units

300 units

400 units

1500 units

Here, $E = 8 \hat{i} + 4 \hat{j} + 3 \hat{k}$
$S = 100 \hat{k}$
(direction of the area is perpendicular to $x - y$ plane)
$ϕ = E \cdot S = (8 \hat{i} + 4 \hat{j} + 3 \hat{k}) \cdot 100 \hat{k}$
$= 300$ units

Q. In a region of space, the electric field is given by E=8i^+4j^​+3k^. The electric flux through a surface of area of 100 units in x−y plane is