An electric field exists in space. A cube of side 2 m is placed in the space as per figure given below. The electric flux through the cube is

STUDY MATERIALS
COURSES
MORE
SUCCESS STORY
ADMISSION
STORE

Back

JEE ADVANCE

CLASS XI - XII
CRASH COURSE

CLASS XI - XII

CRASH COURSE

JEE MAIN

CLASS XI - XII
CRASH COURSE

CLASS XI - XII

CRASH COURSE

NEET

CLASS XI - XII
CRASH COURSE

CLASS XI - XII

CRASH COURSE

BITSAT

CLASS XI - XII

CLASS XI - XII

CBSE BOARD

CLASS IX

CLASS X

CLASS XI

CLASS XII

CLASS VI

CLASS VII

CLASS VIII

UP BOARD

CLASS IX
CLASS X
CLASS XI
CLASS XII

CLASS IX

CLASS X

CLASS XI

CLASS XII

CUET

CRASH COURSE

CRASH COURSE

Courses

CLASSROOM COURSES
ONLINE COURSES

ONLINE COURSES

More

Solution

Q.
An electric field $\vec{E} = (2 x \hat{i}) N C^{- 1}$ exists in space. A cube of side 2 m is placed in the space as per figure given below. The electric flux through the cube is _____ ${Nm}^{2} / C .$ [2024]

Ans.
(16)

Given $\vec{E} = (2 x \hat{i}) N/C$

$ϕ = \vec{E} \cdot \vec{A}$

$ϕ_{in} = - 4 \times 4 = - 16 {Nm}^{2} / C$

$ϕ_{out} = 8 \times 4 = 32 {Nm}^{2} / C$

$ϕ_{net} = ϕ_{in} + ϕ_{out} = - 16 + 32 = 16 {Nm}^{2} / C$

Want Us to Email you About Special Offers & Updates?