Electric flux emanating through a surface element ds=5 hati placed in an electric field vecE=4 hati+4 hatj+4 hatk is

Question

Electric flux emanating through a surface element ds=5 hati placed in an electric field vecE=4 hati+4 hatj+4 hatk is (A)  10 units (B)  20 units (C)  4 units (D)  16 units

Tardigrade Admin · Accepted Answer

Electric flux φ= vecE ⋅ d s ∴ φ=(4 hati+4 hatj+4 hatk)(5 hati) =20 units

Q. Electric flux emanating through a surface element $d s = 5 \hat{i}$ placed in an electric field $E = 4 \hat{i} + 4 \hat{j} + 4 \hat{k}$ is

$10$ units

$20$ units

$4$ units

$16$ units

Electric flux
$ϕ = E \cdot d s$
$∴ ϕ = (4 \hat{i} + 4 \hat{j} + 4 \hat{k}) (5 \hat{i})$
$= 20$ units

Q. Electric flux emanating through a surface element ds=5i^ placed in an electric field E=4i^+4j^​+4k^ is

10 units

20 units

4 units

16 units