A uniform electric field vecE=2 a hati+b hatj passing through a surface area A . What is the electric flux passing through this surface area if the surface lies in y z plane

Question

A uniform electric field vecE=2 a hati+b hatj passing through a surface area A . What is the electric flux passing through this surface area if the surface lies in y z plane (A) 2 a A+b A (B) 2 a A (C) A √4 a2+b2 (D) A(2 a+b)2

Tardigrade Admin · Accepted Answer

φ= vecE ⋅ barA=(2 a hati+b hatj) ⋅(A hati) φ=2 a A

Q. A uniform electric field $E = 2 a \hat{i} + b \hat{j}$ passing through a surface area $A .$ What is the electric flux passing through this surface area if the surface lies in $yz$ plane

$2 a A + b A$

$2 a A$

$A 4 a^{2} + b^{2}$

$A (2 a + b)^{2}$

$ϕ = E \cdot \overset{ˉ}{A} = (2 a \hat{i} + b \hat{j}) \cdot (A \hat{i})$
$ϕ = 2 a A$

Q. A uniform electric field E=2ai^+bj^​ passing through a surface area A. What is the electric flux passing through this surface area if the surface lies in yz plane

2aA+bA

2aA

A4a2+b2​

A(2a+b)2