An electric field is given by (6i + 5j + 3k) N/C. The electric flux through a surface

Question

An electric field is given by \((6 \hat i + 5 \hat j + 3 \hat k)\, N/C\). The electric flux through a surface area \(30 \hat i \, m^2\) lying in YZ-plane (in SI unit) is :

(1) 90

(2) 150

(3) 180 

(4) 60

Answer 1

The correct option is (3) 180.

\(\vec E = 6 \hat i + 5 \hat j + 3 \hat k\)

\(\vec A = 30 \hat i\)

\(\phi = \vec E. \vec A\)

\(\phi = (6 \hat i + 5 \hat j + 3 \hat k).(30 \hat i)\)

\(\phi = 6 \times 30 = 180\)