Q. In a region of space, the electric field is given by $\overrightarrow{E} = 8\widehat{\dot{i}} + 4\widehat{\dot{j}} + 3\widehat{k}.$ The electric flux through a surface of area of 100 units $x$-$y$ plane is
A) 800 units
B) 300 units
C) 400 units
D) 1500 units
Explanation
(b) Here, $\ \overrightarrow{E} = 8\widehat{\dot{i}}\ $+$\ 4\widehat{\dot{J}} + 3\widehat{k}\ $
$\overrightarrow{S} = 100\widehat{k}$
(direction of area is perpendicular to$x$-$y$ plane)
$\phi = \overrightarrow{E}$.$\ \overrightarrow{s} = (8\widehat{\dot{i}}\ $+$\ 4\widehat{\dot{J}} + 3\widehat{k}\ ).100\widehat{k}\ $
= 300 unit
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.